UWB-MMIC Matrix Distributed Low Noise Amplifier †

: In this paper, a 3.1–11 GHz ultra-wideband low noise ampliﬁer with low noise ﬁgure, high power gain S 21 , low reverse gain S 12 , and high linearity using the OMMIC ED02AH process, which employs a 0.18 µ m Pseudomorphic High Electron Mobility Transistor is presented. This Low Noise Ampliﬁer (LNA) was designed with the Advanced Design System simulator in distributed matrix architecture. For the low noise ampliﬁer, four stages were used obtaining a good input / output matching. An average power gain S 21 of 11.6 dB with a gain ripple of ± 0.6 dB and excellent noise ﬁgure of 3.55 to 4.25 dB is obtained in required band with a power dissipation of 48 mW under a supply voltage of 2 V. The input compression point 1 dB and third-order input intercept point are − 1.5 and 23 dBm respectively. The core layout size is 1.8 × 1.2 mm 2 .


Introduction
With the growth of technological needs, especially in wireless communication, it was imperative for researchers to find and develop more structures compatible with modernity and which are aligned with global standards. In this context, we mention ultra-wideband (UWB) systems which were a source of interest for the most important industrial companies and institutes during the sixties of the previous century. As for recent years, these systems have several advantages, such as, high data rate transmission [1], high flexibility [2,3], low power spectra density [4], security [5], single chip architecture with small size, low cost and low power requirements [6]. Thus, systems performances are enhanced. According to Federal Communication Commission (FCC), UWB can be used in the field imaging systems (medical systems, Global Positioning Systems (GPS) and surveillance systems) or communications and measurement systems or vehicular Radar systems, allocating them a frequency domain of 3.1 to 10.6 GHz [7]. A critical component of UWB system is the Low Noise Amplifier, which aims to reduce the noise figure with large gain, low power consumption and stability necessary for eliminating self-oscillation [8].
The first distributed amplifier was studied in 1948 from pentode tubes [9]. The originality of principle lies in the fact that we got to take this advantage by the active elements in parallel while avoiding the disadvantages of reducing the input and output impedances. In distributed amplifiers, the active elements are placed between two propagation lines which carry out both an addition of the currents and adaptation to the source and to the load. Today, distributed amplifiers have become good candidates for providing flat gain in a sufficiently wide band [10]. Monolithic microwave integrated circuit or MMIC technology seems a priori, the best suited to achieve this objective. This paper is organized as follows. In Section 2, the characteristics of the ED02AH transistor device and the MMIC process will be presented. Section 3 gives a description of the proposed circuit and design considerations. Section 4 will discuss the results of a post-implementation simulation of proposed design techniques and compare them with those recently performed. The conclusion of this work will be presented in Section 5.

Device Characteristics and MMIC Process
OMMIC ED02 commercial foundry provides several models for pseudomorphic High Electron Mobility transistors (pHEMTs) in the ED02AH technology. This uses six gate segments of 15 µm width each (6 × 15 µm ED02AH) as shown in Figure 1. Small signal linear models are given by scattering parameters versus bias points of a transistor. Nonlinear models include noises sources usually developed by manufacturers (Kacprzak and Materka model [11], Triquint foundry model [12], etc.).
Proceedings 2020, 63, 52 2 of 7 Today, distributed amplifiers have become good candidates for providing flat gain in a sufficiently wide band [10]. Monolithic microwave integrated circuit or MMIC technology seems a priori, the best suited to achieve this objective. This paper is organized as follows. In Section 2, the characteristics of the ED02AH transistor device and the MMIC process will be presented. Section 3 gives a description of the proposed circuit and design considerations. Section 4 will discuss the results of a post-implementation simulation of proposed design techniques and compare them with those recently performed. The conclusion of this work will be presented in Section 5.

Device Characteristics and MMIC Process
OMMIC ED02 commercial foundry provides several models for pseudomorphic High Electron Mobility transistors (pHEMTs) in the ED02AH technology. This uses six gate segments of 15 μm width each (6 × 15 μm ED02AH) as shown in Figure 1. Small signal linear models are given by scattering parameters versus bias points of a transistor. Nonlinear models include noises sources usually developed by manufacturers (Kacprzak and Materka model [11], Triquint foundry model [12], etc.).  The error of the input and output reflection coefficients (S11 and S22) of the two models is weak compared to the direct and inverse gain parameters (S21 and S12) which can be as high as 30% when the frequency becomes larger. These Monolithic Microwave Integrated Circuit (MMIC) chips are Today, distributed amplifiers have become good candidates for providing flat gain in a sufficiently wide band [10]. Monolithic microwave integrated circuit or MMIC technology seems a priori, the best suited to achieve this objective. This paper is organized as follows. In Section 2, the characteristics of the ED02AH transistor device and the MMIC process will be presented. Section 3 gives a description of the proposed circuit and design considerations. Section 4 will discuss the results of a post-implementation simulation of proposed design techniques and compare them with those recently performed. The conclusion of this work will be presented in Section 5.

Device Characteristics and MMIC Process
OMMIC ED02 commercial foundry provides several models for pseudomorphic High Electron Mobility transistors (pHEMTs) in the ED02AH technology. This uses six gate segments of 15 μm width each (6 × 15 μm ED02AH) as shown in Figure 1. Small signal linear models are given by scattering parameters versus bias points of a transistor. Nonlinear models include noises sources usually developed by manufacturers (Kacprzak and Materka model [11], Triquint foundry model [12], etc.).  The error of the input and output reflection coefficients (S11 and S22) of the two models is weak compared to the direct and inverse gain parameters (S21 and S12) which can be as high as 30% when the frequency becomes larger. These Monolithic Microwave Integrated Circuit (MMIC) chips are The error of the input and output reflection coefficients (S 11 and S 22 ) of the two models is weak compared to the direct and inverse gain parameters (S 21 and S 12 ) which can be as high as 30% when the frequency becomes larger. These Monolithic Microwave Integrated Circuit (MMIC) chips are fabricated with 0.18 µm pseudomorphic GaAs based HEMT technology, carried out by commercially available foundry. Table 1 summarizes the different characteristics of transistor ED02AH.  Figure 3 shows Ultra-Wideband Low Noise Amplifier (LNA) using MMIC technology. This LNA was designed in distributed matrix architecture. The noise resistor of transistor ED02AH depends on several parameters, which can be reduced using several short fingers (6 × 15 µm) or by increasing the number of stages. The amplifier that meets these criteria consists of six cells.  Figure 3 shows Ultra-Wideband Low Noise Amplifier (LNA) using MMIC technology. This LNA was designed in distributed matrix architecture. The noise resistor of transistor ED02AH depends on several parameters, which can be reduced using several short fingers (6 × 15 μm) or by increasing the number of stages. The amplifier that meets these criteria consists of six cells. This Matrix architecture presents a very important gain for an ultra-wide frequency band. The resistive stability of the amplifier at high frequencies increases the value of the output conductance of the structure and at the same time degrades the gain of the amplifier [13]. Adjusting the reactive stability is an appropriate solution achieved by the means of the LsCs components of the gate of the transistor. A parallel resistor Rs is put in place to ensure the polarization of the circuit. The polarizations are fed via drain and gate lines. Inductances L1 and L3 must be dimensioned in order to have high impedance with respect to the Radio-Frequency RF signals. The module of the impedances ZLd and ZLg of these inductances is written as:

Circuit Description
In order to ensure good RF signal transmission, the ZLd and ZLg impedance module must be greater than the characteristic impedance of the 50 Ω drain and gate lines at the minimum operating frequency. The Capacitors C0 and Cd are optimized to ensure a good adaptation in the frequency range studied. The values of different LNA parameters are shown in Table 2: This Matrix architecture presents a very important gain for an ultra-wide frequency band. The resistive stability of the amplifier at high frequencies increases the value of the output conductance of the structure and at the same time degrades the gain of the amplifier [13]. Adjusting the reactive stability is an appropriate solution achieved by the means of the L s C s components of the gate of the transistor. A parallel resistor Rs is put in place to ensure the polarization of the circuit. The polarizations are fed via drain and gate lines. Inductances L 1 and L 3 must be dimensioned in order to have high impedance with respect to the Radio-Frequency RF signals. The module of the impedances Z Ld and Z Lg of these inductances is written as: In order to ensure good RF signal transmission, the Z Ld and Z Lg impedance module must be greater than the characteristic impedance of the 50 Ω drain and gate lines at the minimum operating frequency. The Capacitors C 0 and C d are optimized to ensure a good adaptation in the frequency range studied. The values of different LNA parameters are shown in Table 2:

Results and Discussion
The proposed wideband LNA was simulated with a 0.18 µm GaAs-pHEMT ED02AH transistor. The performances of gain, noise, input/output matching, linearity, and power consumption are specified in order to regulate the values of the circuit components.
The final MMIC layout of the proposed wideband LNA is shown in Figure 4. The LNA is compact with the dimensions of 1.8 × 1.2 mm 2 .

Results and Discussion
The proposed wideband LNA was simulated with a 0.18 μm GaAs-pHEMT ED02AH transistor. The performances of gain, noise, input/output matching, linearity, and power consumption are specified in order to regulate the values of the circuit components.
The final MMIC layout of the proposed wideband LNA is shown in Figure 4. The LNA is compact with the dimensions of 1.8 × 1.2 mm 2 . The simulated input and output reflections of LNA are shown in Figure 5a. Input and output reflections are less than −10 dB at all frequencies. The stability of LNA can be verified using Rollet's K factor defined as in expression (3): where, |∆| |S S S S |.
For unconditional stability, the condition K > 1 and ∆ < 1 must be satisfied. Figure 5b shows the value of K of LNA, which proves the unconditional stability over the entire band. It can be seen from Figure 6a that reverse gain S12 is less than −33 dB.  The simulated input and output reflections of LNA are shown in Figure 5a. Input and output reflections are less than −10 dB at all frequencies. The stability of LNA can be verified using Rollet's K factor defined as in expression (3): where, |∆| = |S 11 S 22 − S 21 S 12 |. intersection between the fundamental spectrum and the third-order intercept point IP3. The output IP3 was calculated with Equation (4).
OIP3 P 1 2 P P (4) Figure 7 shows that the compression point occurs for −1.5 dBm and the third-order input interception point (IIP3) is about 20 dBm for input RF power.    For unconditional stability, the condition K > 1 and ∆ < 1 must be satisfied. Figure 5b shows the value of K of LNA, which proves the unconditional stability over the entire band. It can be seen from Figure 6a that reverse gain S 12 is less than −33 dB. Figure 6b proves an excellent noise figure (NF) as low as 3.65-4.35 dB in the required band with flat power gain of {11-12.2} dB and a consumption of 48 mW under a supply voltage of 2 V. Linearity is another important LNA parameter. The 1 dB compression point and third-order intercept point (IP3) represent the non linear operating domain of RF circuits that helps in proving a circuit's linearity and dynamic range. By generating a two-tone input signal with a separation frequency of 10 MHz, the intermodulation point IM is the point of intersection between the fundamental spectrum and the third-order intercept point IP3. The output IP3 was calculated with Equation (4).
Proceedings 2020, 63, 52 5 of 7 of RF circuits that helps in proving a circuit's linearity and dynamic range. By generating a two-tone input signal with a separation frequency of 10 MHz, the intermodulation point IM is the point of intersection between the fundamental spectrum and the third-order intercept point IP3. The output IP3 was calculated with Equation (4).
OIP3 P 1 2 P P (4) Figure 7 shows that the compression point occurs for −1.5 dBm and the third-order input interception point (IIP3) is about 20 dBm for input RF power.      The performance analysis with comparison of current works with recent literature was shown in Table 3.
The MMIC Matrix Distributed Low Noise Amplifier presents a high gain and low noise compared to the work of [14,15]. The linearity of this amplifier is very high compared to [14][15][16] and reaches up to 20 dBm.

Conclusions
An Ultra-wideband LNA using MMIC technology with 0.18 µm-pHEMT ED02AH transistor was designed in distributed matrix architecture. The input/output matching conditions were satisfied by parallel capacitance. Stability was enhanced by an LC resonant circuit used in series with the transistor gate. From 3.1 to 11 GHz and with 2 V supply voltage, the amplifier's noise figure is 3.9 ± 0.35 dB. The average power gain is 11.9 dB. The power consumption is 48 mW. Due to wideband and high linearity, the proposed LNA is a suitable choice for multi-standard and UWB applications.