NDLI: Indirect and Direct Gaussian Distributed Source Coding Problems

Content Provider	IEEE Xplore Digital Library
Author	Oohama, Y.
Copyright Year	1963
Abstract	We consider the distributed source coding system of L correlated Gaussian sources Y_l, l = 1, 2, ... , L, which are noisy observations of correlated Gaussian remote sources X_k, k = 1,2, ..., K. We assume that Y^L = t(Y₁, Y₂,...,Y_L) is an observation of the source vector X^K = t(X₁, X₂, . . . , X_K), having the form Y^L = AX^K+N^L, where A is a L×K matrix and N^L = t(N₁, N₂, ... , N_L) is a vector of L-independent Gaussian random variables also independent of X^K. In this system, L correlated Gaussian observations are separately compressed by L encoders and sent to the information processing center. We study the remote source coding problem, where the decoder at the center attempts to reconstruct the remote source X^K. We consider three distortion criteria based on the covariance matrix of the estimation error on X^K. For each of those three criteria, we derive explicit inner and outer bounds of the rate distortion region. Next, in the case of K = L and A = I_L, we study the multiterminal source coding problem, where the decoder wishes to reconstruct the observation Y^L = X^L + N^L. To investigate this problem, we shall establish a result that provides a strong connection between the remote source coding problem and multiterminal source coding problem. Using this result, we derive several new partial solutions to the multiterminal source coding problem.
Sponsorship	IEEE Information Theory Society
Starting Page	7506
Ending Page	7539
Page Count	34
File Size	1197040
File Format	PDF
ISSN	00189448
Volume Number	60
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Source coding Vectors Rate-distortion Covariance matrices Random variables Decoding Estimation error rate distortion region Distributed source coding remote sources Gaussian CEO problem multiterminal source coding
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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