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list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" 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font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="charge" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance" display="false"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.2" page-height="841.8"> <margins left="0" right="0" top="11.28" bottom="16.68"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="false" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="none" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="120"/> <miscellaneous> <handbook handbook-region-tag-ub="6853" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="625" left="6" top="16.8" width="579" height="57.6" align-x="21" align-y="30" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="14"> <b>Performance of Cooperative Eigenvalue Spectrum Sensing with a Realistic Receiver Model under Impulsive Noise</b> </f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="13">Dayan A. Guimarães, Rausley A. A. de Souza, </f> <f family="Arial" charset="0" size="13"> <i> <sp/> </i> </f> <f family="Arial" charset="0" size="13">and André N. Barreto</f> </p> </text> </region> <region region-id="6572" left="6" top="111" width="109.2" height="11.4" align-x="22.8" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>SYSTEM PARAMETERS</b> </p> </text> </region> <region region-id="1468" left="6" top="134.4" width="151.8" height="13.2" align-x="21.6" align-y="144" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of cognitive radios:<sp count="4"/> <region region-id="6563" left="129.6" top="135" width="27.6" height="12.6" align-x="144" align-y="144" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m</ml:id> <ml:real>6</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> </p> </text> </region> <region region-id="1466" left="6" top="158.4" width="271.8" height="13.2" align-x="21.6" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of m-element sample vectors:<sp count="3"/> <region region-id="6562" left="170.4" top="159" width="30" height="12.6" align-x="182.4" align-y="168" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">n</ml:id> <ml:real>50</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <sp count="9"/> </p> </text> </region> <region region-id="6560" left="6" top="182.4" width="144.6" height="13.2" align-x="21.6" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of primary radios:<sp count="4"/> <region region-id="6561" left="123.6" top="183" width="26.4" height="12.6" align-x="136.8" align-y="192" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">p</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> </p> </text> </region> <region region-id="6581" left="6" top="206.4" width="269.4" height="16.8" align-x="21.6" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of quantization levels of the ADCs (Re and Im):<sp count="4"/> <region region-id="5167" left="242.4" top="207" width="32.4" height="16.2" align-x="261.6" align-y="216" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="q">N</ml:id> <ml:real>8</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> </p> </text> </region> <region region-id="6582" left="6" top="230.4" width="231.6" height="13.2" align-x="23.4" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Dynamic range of the ADCs (Re and Im):<sp count="3"/> <region region-id="3591" left="181.8" top="231" width="27.6" height="12.6" align-x="196.2" align-y="240" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <sp count="2"/>Volts.</p> </text> </region> <region region-id="6584" left="6" top="254.4" width="142.8" height="16.8" align-x="15.6" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">ADC overdrive factor:<sp count="4"/> <region region-id="6583" left="105.6" top="255" width="42.6" height="16.2" align-x="127.8" align-y="264" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="od">f</ml:id> <ml:real>1.2</ml:real> </ml:define> </math> <rendering item-idref="7"/> </region> </p> </text> </region> <region region-id="6585" left="6" top="278.4" width="434.4" height="13.2" align-x="19.8" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Lenght of the impulse reponse of the low-pass receive filter at the CR:<sp count="4"/> <region region-id="29" left="301.8" top="279" width="31.2" height="12.6" align-x="315" align-y="288" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:real>10</ml:real> </ml:define> </math> <rendering item-idref="8"/> </region> <sp count="2"/> </p> </text> </region> <region region-id="6586" left="6" top="302.4" width="466.8" height="15" align-x="16.8" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Vector with the impulse response of the receive filter (default: moving average filter, hi = 1):<sp count="3"/> <region region-id="5446" left="384.6" top="303" width="52.2" height="12.6" align-x="394.2" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">L</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </ml:define> </math> <rendering item-idref="9"/> </region> <sp count="3"/> <region region-id="5445" left="444.6" top="303" width="27.6" height="14.4" align-x="459" align-y="312" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="10"/> </region> </p> </text> </region> <region region-id="6587" left="6" top="351" width="154.2" height="11.4" align-x="30.6" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>IMPULSIVE NOISE PARAMETERS</b> </p> </text> </region> <region region-id="6588" left="6" top="374.4" width="435.6" height="16.8" align-x="21.6" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Number of impulsive noise (IN) bursts during one sensing period (default: 1)<sp count="4"/> <region region-id="389" left="326.4" top="375" width="32.4" height="16.2" align-x="345.6" align-y="384" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="b">N</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="11"/> </region> </p> </text> </region> <region region-id="6589" left="6" top="398.4" width="360.6" height="16.8" align-x="21.6" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Number of samples per IN burst (default: 20% of n):<sp count="4"/> <region region-id="378" left="226.2" top="399" width="36" height="16.2" align-x="244.2" align-y="408" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">N</ml:id> <ml:real>10</ml:real> </ml:define> </math> <rendering item-idref="12"/> </region> </p> </text> </region> <region region-id="6590" left="6" top="422.4" width="321" height="13.2" align-x="16.2" align-y="432" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Ratio betwen impulsive and thermal noise powers (K = 0 for zero IN):<sp count="4"/> <region region-id="6558" left="298.2" top="423" width="28.2" height="12.6" align-x="313.2" align-y="432" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">K</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="13"/> </region> </p> </text> </region> <region region-id="6591" left="6" top="446.4" width="281.4" height="16.8" align-x="6" align-y="456" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Probability of occurrence of IN during a sensing period:<sp count="3"/> <region region-id="6565" left="240" top="447" width="44.4" height="16.2" align-x="264" align-y="456" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="IN">p</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="14"/> </region> <sp/> </p> </text> </region> <region region-id="6592" left="6" top="470.4" width="192.6" height="16.8" align-x="6" align-y="480" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Average fraction of CRs hit by IN:<sp count="4"/> <region region-id="6567" left="152.4" top="471" width="45.6" height="16.2" align-x="177.6" align-y="480" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">p</ml:id> <ml:real>0.7</ml:real> </ml:define> </math> <rendering item-idref="15"/> </region> </p> </text> </region> <region region-id="6594" left="6" top="519" width="128.4" height="11.4" align-x="34.2" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>SIMULATION PARAMETERS</b> </p> </text> </region> <region region-id="6569" left="6" top="542.4" width="259.2" height="16.8" align-x="21.6" align-y="552" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of runs in the Monte Carlo simulation:<sp count="5"/> <region region-id="6568" left="205.8" top="543" width="58.8" height="16.2" align-x="237" align-y="552" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="runs">N</ml:id> <ml:real>1000</ml:real> </ml:define> </math> <rendering item-idref="16"/> </region> </p> </text> </region> <region region-id="6596" left="6" top="572.4" width="480.6" height="45.6" align-x="21.6" align-y="582" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Detection technique:<sp count="4"/> <region region-id="6595" left="100.8" top="573" width="84" height="12.6" align-x="145.8" align-y="582" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Detection</ml:id> <ml:str xml:space="preserve">GLRT</ml:str> </ml:define> </math> <rendering item-idref="17"/> </region> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Options:</p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">"ED" (Energy Detection), "ERD" (Eigenvalue Ratio Detection), "RLRT" (Roy's Largest Root Test), "GLRT" (Generalized Likelihood Ratio Test). The last three are adequate for p = 1.</p> </text> </region> <region region-id="4657" left="6" top="638.4" width="478.8" height="49.2" align-x="21.6" align-y="648" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Primary transmitted signal:<sp count="4"/> <region region-id="6597" left="126" top="639" width="57" height="16.2" align-x="145.8" align-y="648" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="tx">S</ml:id> <ml:str xml:space="preserve">Noise</ml:str> </ml:define> </math> <rendering item-idref="18"/> </region> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Options:</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">"Noise" (X have filtered noise samples, depending on the RX filter lenght, L).</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">"BPSKiid" (X have filtered BPSK samples, depending on the RX filter lenght, L).</p> </text> </region> <region region-id="4658" left="6" top="710.4" width="222" height="45.6" align-x="21.6" align-y="720" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">System model to be analyzed:<sp count="4"/> <region region-id="6598" left="139.8" top="711" width="54.6" height="12.6" align-x="172.2" align-y="720" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Model</ml:id> <ml:str xml:space="preserve">C</ml:str> </ml:define> </math> <rendering item-idref="19"/> </region> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Options:</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">"C" (conventional model)</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">"R" (realistic, implementation-oriented model)</p> </text> </region> <region region-id="6344" left="6" top="776.4" width="319.2" height="60" align-x="20.4" align-y="786" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Impulsive noise countermeasure:<sp count="4"/> <region region-id="6599" left="151.2" top="777" width="102" height="16.2" align-x="230.4" align-y="786" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="countermeasure">IN</ml:id> <ml:str xml:space="preserve">N</ml:str> </ml:define> </math> <rendering item-idref="20"/> </region> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Options:</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">"M" (mute samples above +-D/2 when IN is present).</p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">"E" (eliminate from cooperation those CRs under IN).</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">"N" (no IN-specific countermeasure at all).</p> </text> </region> <region region-id="6845" left="6" top="854.4" width="170.4" height="13.2" align-x="6" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <inlineAttr font-weight="normal">Signal-to-noise ratio, in dB:<sp count="4"/> </inlineAttr> <region region-id="6839" left="128.4" top="855" width="47.4" height="12.6" align-x="152.4" align-y="864" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SNR</ml:id> <ml:real>-10</ml:real> </ml:define> </math> <rendering item-idref="21"/> </region> </p> </text> </region> <region region-id="6846" left="6" top="878.4" width="196.8" height="16.8" align-x="6" align-y="888" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <inlineAttr font-weight="normal">Number of points in the ROC curve:<sp count="4"/> </inlineAttr> <region region-id="6841" left="161.4" top="879" width="40.8" height="16.2" align-x="184.2" align-y="888" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="pt">N</ml:id> <ml:real>10</ml:real> </ml:define> </math> <rendering item-idref="22"/> </region> </p> </text> </region> <region region-id="6847" left="6" top="902.4" width="484.2" height="16.8" align-x="6" align-y="912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <inlineAttr font-weight="normal">Minimum and maximum detection thresholds, respectively:<sp count="4"/> </inlineAttr> <region region-id="6843" left="256.2" top="903" width="48" height="16.2" align-x="283.8" align-y="912" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">γ</ml:id> <ml:real>1.3</ml:real> </ml:define> </math> <rendering item-idref="23"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="4"/> </inlineAttr> </f> <region region-id="6844" left="314.4" top="903" width="50.4" height="16.2" align-x="344.4" align-y="912" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="max">γ</ml:id> <ml:real>2.1</ml:real> </ml:define> </math> <rendering item-idref="24"/> </region> </p> </text> </region> <region region-id="6852" left="0" top="964.8" width="4806.6" align-x="0" align-y="964.8" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag="" height="4590.6"> <area is-collapsed="true" name=" MAIN ROUTINE (double click to expand/compress)" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="6820" bottom-lock-id="5116"> <region region-id="5450" left="6" top="33.6" width="190.2" height="11.4" align-x="26.4" align-y="42.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">Auxiliary routine for the whitening filtering</inlineAttr> </b> </f> </p> </text> </region> <region region-id="5467" left="48" top="63" width="133.8" height="27" align-x="76.2" align-y="78.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Conv</ml:id> <ml:apply> <ml:id xml:space="preserve">Re</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">convol</ml:id> <ml:sequence> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:apply> <ml:id xml:space="preserve">convol</ml:id> <ml:sequence> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="5468" left="48" top="99.6" width="121.8" height="14.4" align-x="94.8" align-y="108.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">IndexMax</ml:id> <ml:apply> <ml:indexer/> <ml:apply> <ml:id xml:space="preserve">match</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">Conv</ml:id> </ml:sequence> </ml:apply> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="5469" left="48" top="123.6" width="243" height="12.6" align-x="74.4" align-y="132.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Corr</ml:id> <ml:apply> <ml:id xml:space="preserve">submatrix</ml:id> <ml:sequence> <ml:id xml:space="preserve">Conv</ml:id> <ml:id xml:space="preserve">IndexMax</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">IndexMax</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="5470" left="48" top="147.6" width="54" height="14.4" align-x="88.8" align-y="156.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Corr</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:define> </math> </region> <region region-id="5471" left="48" top="171.6" width="51" height="12.6" align-x="57.6" align-y="180.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="5472" left="48" top="195.6" width="22.8" height="12.6" align-x="60" align-y="204.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:define> </math> </region> <region region-id="5473" left="48" top="219.6" width="97.8" height="31.2" align-x="62.4" align-y="228.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">q</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Corr</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:ifThen> <ml:otherwise> <ml:real>0</ml:real> </ml:otherwise> </ml:program> </ml:define> </math> </region> <region region-id="5474" left="48" top="267.6" width="60" height="14.4" align-x="73.8" align-y="276.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Q</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">q</ml:id> <ml:apply> <ml:absval/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="5475" left="48" top="297.6" width="168.6" height="12.6" align-x="63.6" align-y="306.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U</ml:id> <ml:apply> <ml:id xml:space="preserve">submatrix</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">svd</ml:id> <ml:id xml:space="preserve">Q</ml:id> </ml:apply> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="5476" left="48" top="321.6" width="70.2" height="12.6" align-x="62.4" align-y="330.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:id xml:space="preserve">cholesky</ml:id> <ml:id xml:space="preserve">Q</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="5477" left="48" top="340.8" width="64.2" height="21" align-x="74.4" align-y="354.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="wf">W</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">U</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">C</ml:id> <ml:real>-1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="5464" left="6" top="387.6" width="301.8" height="11.4" align-x="21" align-y="396.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <b>Auxiliary routine for the r</b> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">eceive filter as a Toeplitz matrix</inlineAttr> </b> </f> </p> </text> </region> <region region-id="5466" left="42" top="411.6" width="130.8" height="100.2" align-x="67.8" align-y="420.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ma">F</ml:id> <ml:program> <ml:for> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">L</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">F</ml:id> <ml:sequence> <ml:id xml:space="preserve">j</ml:id> <ml:real>0</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">h</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:localDefine> </ml:for> <ml:for> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:range> <ml:for> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>1</ml:real> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:range> <ml:localDefine> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">F</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">F</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">i</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">j</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:localDefine> </ml:for> </ml:for> <ml:id xml:space="preserve">F</ml:id> </ml:program> </ml:define> </math> </region> <region region-id="6347" left="6" top="543.6" width="337.2" height="11.4" align-x="18.6" align-y="552.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <b>Auxiliary routine for the permutation matrix for vector rotation</b> </p> </text> </region> <region region-id="6605" left="48" top="573.6" width="264.6" height="38.4" align-x="87" align-y="582.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="ECDB0157-7500-4B79-A800-71A425DC04B1" version-id="A089273C-082A-42BA-B721-644C94365D8B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="448639380" is-modified="false" region-id="0" href="C:\Adionel\Pessoal\Pesquisas\Spectrum Sensing\Impulsive noise generator.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="ECDB0157-7500-4B79-A800-71A425DC04B1" version-id="A089273C-082A-42BA-B721-644C94365D8B" branch-id="00000000-0000-0000-0000-000000000000" revision-num="448639300" is-modified="false" region-id="0" href="C:\Adionel\Pessoal\Pesquisas\Spectrum Sensing\Impulsive noise generator.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment 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<ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">m</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> </ml:program> </ml:define> </ml:provenance> </math> </region> <region region-id="6685" left="6" top="651.6" width="535.8" height="11.4" align-x="6" align-y="660.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <b>Auxiliary routine for computing the average number of CRs in cooperation for the IN coutermeasure "E": </b> </p> </text> </region> <region region-id="6686" left="42" top="681.6" width="40.8" height="12.6" align-x="54.6" align-y="690.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> 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<ml:plus/> <ml:id xml:space="preserve" subscript="totalFA">Counter</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:apply> <ml:not/> <ml:id xml:space="preserve" subscript="TX">I</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:localDefine> <ml:id xml:space="preserve" subscript="D">P</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="d">Counter</ml:id> <ml:id xml:space="preserve" subscript="totalD">Counter</ml:id> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve" subscript="FA">P</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="fa">Counter</ml:id> <ml:id xml:space="preserve" subscript="totalFA">Counter</ml:id> </ml:apply> </ml:localDefine> <ml:apply> <ml:transpose/> <ml:matrix rows="1" cols="4"> <ml:id xml:space="preserve" subscript="D">P</ml:id> <ml:id xml:space="preserve" subscript="FA">P</ml:id> <ml:id xml:space="preserve" subscript="m">Stat</ml:id> <ml:real>0</ml:real> </ml:matrix> </ml:apply> </ml:program> </ml:define> </math> </region> <region region-id="6832" left="6" top="4461.6" width="61.8" height="16.2" align-x="15.6" align-y="4470.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="pt">N</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="6833" left="114" top="4451.4" width="132.6" height="34.2" align-x="129.6" align-y="4470.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">γ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="max">γ</ml:id> <ml:id xml:space="preserve" subscript="min">γ</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:id xml:space="preserve">i</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="pt">N</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="min">γ</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="6834" left="6" top="4497.6" width="84" height="14.4" align-x="22.2" align-y="4506.6" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">OUT</ml:id> <ml:sequence> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">γ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:id xml:space="preserve">SNR</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="6835" left="120" top="4497.6" width="52.8" height="20.4" align-x="142.8" align-y="4506.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="D">P</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:parens> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="6836" left="204" top="4497.6" width="58.2" height="20.4" align-x="232.2" align-y="4506.6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="FA">P</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:parens> <ml:real>1</ml:real> </ml:apply> </ml:define> </math> </region> </area> <rendering item-idref="26"/> </region> <region region-id="6642" left="6" top="1023" width="580.2" height="11.4" align-x="25.8" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>***** RESULTS<sp count="2"/>****************************************************************************************************************************************</b> </p> </text> </region> <region region-id="6750" left="306" top="1056" width="273.6" height="324" align-x="306" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="27"/> <rendering item-idref="28"/> </region> <region region-id="6644" left="6" top="1062" width="273.6" height="324" align-x="6" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="29"/> <rendering item-idref="30"/> </region> <region region-id="6778" left="612" top="1119.6" width="246.6" height="186" align-x="697.8" align-y="1212" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">augment</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="FA">P</ml:id> <ml:id xml:space="preserve" subscript="D">P</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="10" cols="2"> <ml:real>1</ml:real> <ml:real>0.99191919191919187</ml:real> <ml:real>0.83333333333333337</ml:real> <ml:real>0.62061855670103094</ml:real> <ml:real>0.33266533066132264</ml:real> <ml:real>0.11992263056092843</ml:real> <ml:real>0.046</ml:real> <ml:real>0.012024048096192385</ml:real> <ml:real>0.0087145969498910684</ml:real> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>0.994059405940594</ml:real> <ml:real>0.940677966101695</ml:real> <ml:real>0.75728155339805825</ml:real> <ml:real>0.45908183632734528</ml:real> <ml:real>0.21325051759834368</ml:real> <ml:real>0.076</ml:real> <ml:real>0.015968063872255488</ml:real> <ml:real>0.009242144177449169</ml:real> <ml:real>0</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat> <table item-idref="31"/> </resultFormat> </math> <rendering item-idref="32"/> </region> <region region-id="6777" left="6" top="1413" width="580.2" height="11.4" align-x="25.8" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>***** SUMMARY OF PARAMETERS *********************************************************************************************************************</b> </p> </text> </region> <region region-id="6751" left="6" top="1455" width="105.6" height="16.2" align-x="84" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="countermeasure">IN</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">N</ml:str> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="6779" left="6" top="1479" width="87.6" height="12.6" align-x="49.8" align-y="1488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Detection</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">GLRT</ml:str> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="6780" left="120" top="1479" width="60.6" height="16.2" align-x="138.6" align-y="1488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="tx">S</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">Noise</ml:str> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="6781" left="210" top="1479" width="58.2" height="12.6" align-x="241.2" align-y="1488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Model</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">C</ml:str> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="6755" left="6" top="1502.4" width="181.8" height="13.2" align-x="21.6" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of cognitive radios:<sp count="4"/> <region region-id="6849" left="129.6" top="1503" width="31.2" height="12.6" align-x="142.8" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>6</ml:real> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> </p> </text> </region> <region region-id="6757" left="6" top="1526.4" width="210.6" height="13.2" align-x="21.6" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of m-element sample vectors:<sp count="5"/> <region region-id="6850" left="175.2" top="1527" width="33.6" height="12.6" align-x="186" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">n</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50</ml:real> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> </p> </text> </region> <region region-id="6759" left="6" top="1550.4" width="162" height="13.2" align-x="21.6" align-y="1560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of primary radios:<sp count="4"/> <region region-id="6851" left="123.6" top="1551" width="30" height="12.6" align-x="135.6" align-y="1560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">p</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> </p> </text> </region> <region region-id="6761" left="6" top="1574.4" width="195.6" height="16.8" align-x="21.6" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of IN bursts:<sp count="4"/> <region region-id="5587" left="99.6" top="1575" width="36" height="16.2" align-x="117.6" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="b">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="40"/> </region> </p> </text> </region> <region region-id="6762" left="6" top="1598.4" width="249.6" height="16.8" align-x="21.6" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of samples per IN burst:<sp count="4"/> <region region-id="5588" left="148.8" top="1599" width="39.6" height="16.2" align-x="165.6" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>10</ml:real> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> </p> </text> </region> <region region-id="6763" left="6" top="1622.4" width="207.6" height="13.2" align-x="18.6" align-y="1632" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Signal-to-thermal noise ratio:<sp count="4"/> <region region-id="2434" left="135" top="1623" width="51" height="12.6" align-x="157.8" align-y="1632" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SNR</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>-10</ml:real> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/>dB</inlineAttr> </f> </p> </text> </region> <region region-id="6764" left="6" top="1646.4" width="204.6" height="13.2" align-x="21" align-y="1656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Impulsive/Thermal noise power ratio: <region region-id="1594" left="159.6" top="1647" width="31.8" height="12.6" align-x="173.4" align-y="1656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="43"/> </region> <sp count="4"/> </p> </text> </region> <region region-id="6765" left="6" top="1670.4" width="240" height="16.8" align-x="29.4" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Probability of IN ocurrence:<sp count="4"/> <region region-id="3218" left="127.2" top="1671" width="48" height="16.2" align-x="150" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="IN">p</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.8</ml:real> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> </p> </text> </region> <region region-id="6766" left="6" top="1694.4" width="265.8" height="16.8" align-x="29.4" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Average fraction of CRs hit by IN:<sp count="4"/> <region region-id="5589" left="152.4" top="1695" width="49.2" height="16.2" align-x="176.4" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">p</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.7</ml:real> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> </p> </text> </region> <region region-id="6767" left="6" top="1718.4" width="155.4" height="16.8" align-x="25.8" align-y="1728" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">ADC overdrive factor:<sp count="3"/> <region region-id="4107" left="103.2" top="1719" width="46.2" height="16.2" align-x="124.2" align-y="1728" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="od">f</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1.2</ml:real> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <sp count="3"/> </p> </text> </region> <region region-id="6768" left="6" top="1742.4" width="261" height="16.8" align-x="21.6" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of quantization levels of the ADC:<sp count="2"/> <region region-id="5172" left="182.4" top="1743" width="36" height="16.2" align-x="200.4" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="q">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>8</ml:real> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> </p> </text> </region> <region region-id="6769" left="6" top="1766.4" width="264" height="16.8" align-x="21.6" align-y="1776" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Number of simulation runs:<sp count="2"/> <region region-id="5198" left="120.6" top="1767" width="62.4" height="16.2" align-x="150.6" align-y="1776" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="runs">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1000</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="5"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="48"/> </region> <sp/> </p> </text> </region> <region region-id="6770" left="6" top="1785.6" width="354.6" height="18" align-x="12" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Thresholds: <region region-id="4952" left="56.4" top="1786.2" width="212.4" height="17.4" align-x="73.8" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">γ</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="1" cols="10"> <ml:real>1.3</ml:real> <ml:real>1.4000000000000001</ml:real> <ml:real>1.5</ml:real> <ml:real>1.6</ml:real> <ml:real>1.7000000000000002</ml:real> <ml:real>1.8000000000000003</ml:real> <ml:real>1.9000000000000001</ml:real> <ml:real>2</ml:real> <ml:real>2.1</ml:real> <ml:real>2.2</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="49"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <sp count="2"/> </inlineAttr> </f> <sp/> </p> </text> </region> <region region-id="6771" left="6" top="1814.4" width="267.6" height="13.2" align-x="19.8" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Lenght of the impulse reponse of the receive filter:<sp count="4"/> <region region-id="5590" left="220.8" top="1815" width="34.8" height="12.6" align-x="232.8" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>10</ml:real> </result> </ml:eval> </math> <rendering item-idref="50"/> </region> <sp count="2"/> </p> </text> </region> <region region-id="6772" left="6" top="1833.6" width="312.6" height="18" align-x="21" align-y="1848" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Impulse response of the receive filter:<sp count="2"/> <region region-id="5490" left="164.4" top="1834.2" width="146.4" height="17.4" align-x="180.6" align-y="1848" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">h</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="1" cols="10"> <ml:real>1</ml:real> <ml:real>1</ml:real> <ml:real>1</ml:real> <ml:real>1</ml:real> <ml:real>1</ml:real> <ml:real>1</ml:real> <ml:real>1</ml:real> <ml:real>1</ml:real> <ml:real>1</ml:real> <ml:real>1</ml:real> </ml:matrix> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="matrix" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="51"/> </region> <sp count="3"/> </p> </text> </region> <region region-id="6773" left="6" top="1862.4" width="549" height="19.2" align-x="22.2" align-y="1872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Estimated average number of CRs in cooperation (equal to m for no IN countermeasure ,"N", or muting, "M")<inlineAttr font-weight="normal">:<sp count="4"/> </inlineAttr> <region region-id="6629" left="463.2" top="1863" width="77.4" height="18.6" align-x="522.6" align-y="1872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">mean</ml:id> <ml:apply> <ml:indexer/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>6</ml:real> </result> </ml:eval> </math> <rendering item-idref="52"/> </region> </p> </text> </region> <region region-id="6774" left="6" top="1886.4" width="473.4" height="16.8" align-x="6" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <inlineAttr font-weight="normal">Theoretical average number of CRs in cooperation for the "Elimination" IN coutermeasure, "E":<sp count="5"/> </inlineAttr> <region region-id="6694" left="408" top="1887" width="54.6" height="16.2" align-x="432.6" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CR">A</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>3.0702591999999997</ml:real> </result> </ml:eval> </math> <rendering item-idref="53"/> </region> </p> </text> </region> <region region-id="6853" left="6" top="1923" width="568.8" height="11.4" align-x="6" align-y="1932" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit"> <b>**************************************************************************************************************************************************************</b> </p> </text> </region> <region region-id="1752" left="972" top="8808" width="273.6" height="233.4" align-x="972" align-y="8808" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <metafile mapping-mode="8" x-extent="330.7465" y-extent="281.2535" item-idref="54"/> </picture> <rendering item-idref="55"/> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yQwW7CMAyG7aZbS9etu3AhSOUZeIIdENph2iT2ACiUAkVUTF2ROPLm3W8n u+w0R3b+Ot/vRsmJiJGfyEy1QS228/W+c1+H9e7cta5PSGKMHGl74XqnLZog07b62Bzrqvet ld8omqGYMF+8hWr5yty1+V7q6FjZKfKNA+tjwCKe/r/7OzzpO1fV84XRIxvAkp+JLQ+imG0E 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