Communicating the Difference of Correlated Gaussian Sources Over a MAC

Details Communicating the Difference of Correlated Gaussian Sources Over a MAC Communicating the Difference of Correlated Gaussian Sources Over a MAC

2008-12-05

arxiv.org/abs/0812.1091v1

Computer Science

Information Theory

8 pages, 2 figures, submitted to DCC 2009

Scientific paper

This paper considers the problem of transmitting the difference of two jointly Gaussian sources over a two-user additive Gaussian noise multiple access channel (MAC). The goal is to recover this difference within an average mean squared error distortion criterion. Each transmitter has access to only one of the two Gaussian sources and is limited by an average power constraint. In this work, a lattice coding scheme that achieves a distortion within a constant of a distortion lower bound is presented if the signal to noise ratio (SNR) is greater than a threshold. Further, uncoded transmission is shown to be worse in performance to lattice coding methods. An alternative lattice coding scheme is presented that can potentially improve on the performance of uncoded transmission.

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