Title
Distributed Rate-Distortion With Common Components
Abstract
We describe a scheme for rate-distortion with distributed encoding in which the sources to be compressed contain a common component. We show that this scheme is optimal in some situations and that it strictly improves upon existing schemes, which do not make full use of common components. This establishes that independent quantization followed by independent binning is not optimal for the two-encoder problem with a distortion constraint on one source. We also show that independent quantization and binning is suboptimal for the three-encoder problem in which the goal is to reproduce one of the sources losslessly. This provides a counterexample that is fundamentally different from one provided earlier by Körner and Marton. The proofs rely on the binary analogue of the entropy power inequality and the existence of a rate loss for the binary symmetric Wyner-Ziv problem.
Year
DOI
Venue
2011
10.1109/TIT.2011.2145570
IEEE Transactions on Information Theory
Keywords
Field
DocType
binary codes,data compression,entropy codes,quantisation (signal),rate distortion theory,source coding,binary symmetric Wyner-Ziv problem,distributed encoding,distributed rate-distortion scheme,entropy power inequality,independent binning,independent quantization,three-encoder problem,Common randomness,entropy power inequality,lossy compression,multiterminal source coding,one-helper problem,rate region,rate-distortion
Entropy power inequality,Discrete mathematics,Combinatorics,Computer science,Binary code,Decoding methods,Counterexample,Quantization (signal processing),Distortion,Rate–distortion theory,Binary number
Journal
Volume
Issue
ISSN
57
7
0018-9448
Citations 
PageRank 
References 
20
0.92
23
Authors
3
Name
Order
Citations
PageRank
Aaron B. Wagner132237.39
Benjamin G. Kelly2493.76
Altug, Y.3200.92