作者：
Lu, JianWang, QiaoSE Univ
Dept Radio Engn Sch Informat Sci & Engn Nanjing 210096 Peoples R China
In this paper, we consider the rate loss and achievable region of multiple sources codes (also named multiterminal source codes) in the Wyner-Ziv setting (WZ-MSC), in which two stationary memoryless sources (X, Y) are...
详细信息
In this paper, we consider the rate loss and achievable region of multiple sources codes (also named multiterminal source codes) in the Wyner-Ziv setting (WZ-MSC), in which two stationary memoryless sources (X, Y) are compressed separately from each other at respective rates and R-1 and R-2, and the joint decoder, having access to the side information S which is correlated with sources (X, Y), reconstructs X and Y with distortion and D-1 and D-2, respectively. We define the rate loss L-1 = R-1 - R-X vertical bar Y,R- S (D-1), L-2 = R-2 - R-Y vertical bar X,R- S (D-2) and L-0 = R-1 + R-2 - R-X,R-Y vertical bar S(D-1, D-2). For general real-valued stationary memoryless sources and mean squared error distortion measure, we show that the rate loss can be bounded by L-i <= K-i + 1,i = 1, 2, and L-0 <= 1, where K-1 = R-X,R-Y vertical bar(S)(D-1, D-2) - R-Y vertical bar S(D-1) - R-X vertical bar Y,R-S(D-1) and K-2 = R-X,R-Y vertical bar(S)(D-1, D-2) - R-X vertical bar S(D-1) - R-Y vertical bar X,R-S(D-2). When the sources and side information have a jointly Gaussian distribution, we give upper bounds of K-1 and K-2 by a function of conditional correlation coefficient rho(XY vertical bar S). For a special case when there is no side information, our result tightens Feng's rate loss bounds. Using our upper bounds of the rate loss, we give good approximations of the achievable region.
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