Gaussian Zig-Zag Source Coding Problem
In 1997 the author considered the separate coding system for two correlated memoryless Gaussian sources and squared distortion measures and determined the rate distortion region in a case where one source plays a role of the partial side information at the decoder The above source coding system can be extended to a certain class of source network with several decoders where each decoder has at most one full or partial side information This class of source network is called the one helps one system In this paper we consider a source network belonging to this class for correlated memoryless Gaussian sources and squared distortion measures This source network was posed and investigated by Korner and Marton and was called the zig-zag source network They studied the zig-zag source network in the case of discrete memoryless multiple sources In this paper we study the zig-zag source network in the case of correlated memoryless Gaussian sources and square distortion We determine the rate distortion region in a case where sources have a certain correlation property key words zig-zag source network correlated Gaussian sources rate distortion region
rate distortion region zig-zag source network correlated gaussian sources