On Joint Source-Channel Coding for a Multivariate Gaussian on a Gaussian MAC


During this paper, nonlinear distributed joint source-channel coding (JSCC) schemes for transmission of multivariate Gaussian sources over a Gaussian multiple access channel are proposed and analyzed. The most contribution could be a zero-delay JSCC named Distributed Quantizer Linear Coder (DQLC), which performs comparatively close the knowledge theoretical bounds, improves when the correlation among the sources will increase, and will not level off as the signal-to-noise ratio (SNR) becomes massive. So it outperforms any linear solution for sufficiently massive SNR. More an extension of DQLC to an arbitrary code length named Vector Quantizer Linear Coder (VQLC) is analyzed. The VQLC closes in on the performance higher certain because the code length will increase and can probably achieve the bound for any range of freelance sources. The VQLC leaves a spot to the bound whenever the sources are correlated, however. JSCC achieving the sure for arbitrary correlation has been found for the bivariate case, however that answer is significantly outperformed by the DQLC/VQLC when there is an occasional delay constraint. This indicates that different approaches are needed to perform shut to the bounds when the code length is high and low. The VQLC/DQLC also apply for bandwidth compression of a multivariate Gaussian transmitted on purpose-to-point links.

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