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Entropy 2008, 10(4), 722-735; doi:10.3390/e10040722
Article

Intercept Capacity: Unknown Unitary Transformation

1,* , 1
 and
2
Received: 22 May 2008 / Accepted: 10 November 2008 / Published: 20 November 2008
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Abstract

We consider the problem of intercepting communications signals between Multiple-Input Multiple-Output (MIMO) communication systems. To correctly detect a transmitted message it is necessary to know the gain matrix that represents the channel between the transmitter and the receiver. However, even if the receiver has knowledge of the message symbol set, it may not be possible to estimate the channel matrix. Blind Source Separation (BSS) techniques, such as Independent Component Analysis (ICA) can go some way to extracting independent signals from individual transmission antennae but these may have been preprocessed in a manner unknown to the receiver. In this paper we consider the situation where a communications interception system has prior knowledge of the message symbol set, the channel matrix between the transmission system and the interception system and is able to resolve the transmissionss from independent antennae. The question then becomes: what is the mutual information available to the interceptor when an unknown unitary transformation matrix is employed by the transmitter.
Keywords: Communications; Unitary; BSS Communications; Unitary; BSS
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kitchen, J.; Moran, B.; Howard, S.D. Intercept Capacity: Unknown Unitary Transformation. Entropy 2008, 10, 722-735.

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