Joint Source-Channel Coding for Correlated Gaussian Sources Over a Gaussian MAC with Side Information

We consider the transmission of correlated Gaussian sources over a Gaussian multiple access channel (GMAC) with side information. Three joint source-channel coding schemes: Amplify and Forward (AF), Separation based (SB) and a coding scheme developed by Lapidoth and Tinguely (LT) are studied. Various methods are proposed to effectively utilize the side information with these schemes such that the sum of the distortions is minimized. The performance of the three schemes is also compared. It is found that AF is the best at low SNR but the worst under high SNR. Also, decoder side information is more useful than encoder side information.