A semicontinuity theorem and its application to network source coding

For a general class of Gaussian network source coding problems for which no single-letter characterization of the rate-distortion region is known, it is shown that the rate- distortion region is inner semicontinuous with respect to the source distribution. This semicontinuity theorem is used to obta...

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Bibliographic Details
Main Authors: Jun Chen, Wagner, A.B.
Format: Conference Proceeding
Language:English
Subjects:
Decoding
Electronic mail
Entropy
Random variables
Rate-distortion
Robustness
Source coding
Online Access:Request full text
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Summary:For a general class of Gaussian network source coding problems for which no single-letter characterization of the rate-distortion region is known, it is shown that the rate- distortion region is inner semicontinuous with respect to the source distribution. This semicontinuity theorem is used to obtain two new results, one for the Gaussian many-help-one problem and one for the Gaussian robust distributed source coding problem.
ISSN:2157-8095
2157-8117
DOI:10.1109/ISIT.2008.4595022