2009/04/05 by Yasutada Oohama, Oohama, Yasutada
Computer Science · Engineering · #Advanced Data Compression Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Underwater Vehicles and Communication Systems #Wireless Communication Security Techniques
paper · pdf · doi:10.48550/arxiv.0904.0751
openalex publication_date 2009/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the distributed source coding system for L correlated Gaussian observations Yi, i=1,2, ..., L. Let Xi,i=1,2, ..., L be L correlated Gaussian random variables and Ni, i=1,2,... L be independent additive Gaussian noises also independent of Xi, i=1,2,..., L. We consider the case where for each i=1,2,..., L, Yi is a noisy observation of Xi, that is, Yi=Xi+Ni. On this coding system the determination problem of the rate distortion region remains open. In this paper, we derive explicit outer and inner bounds of the rate distortion region. We further find an explicit sufficient condition for those two to match. We also study the sum rate part of the rate distortion region when the correlation has some symmetrical property and derive a new lower bound of the sum rate part. We derive a sufficient condition for this lower bound to be tight. The derived sufficient condition depends only on the correlation property of the sources and their observations.