Vector Gaussian Rate-Distortion With Variable Side Information

Vector Gaussian Rate-Distortion With Variable Side Information

We consider rate-distortion with two decoders, each with distinct side information. This problem is well understood when the side information at the decoders satisfies a certain degradedness condition. We consider cases in which this degradedness condition is violated but the source and the side inf...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 63; no. 8; pp. 5162 - 5178
Main Authors: Unal, Sinem, Wagner, Aaron B.
Format: Journal Article
Language:English
Published: New York IEEE 01-08-2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Communication channels
Covariance matrices
Decoders
Decoding
Distortion
Encoding
Indexes
Lower bounds
Rate-distortion
side information
vector Gaussian
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Description
Summary:We consider rate-distortion with two decoders, each with distinct side information. This problem is well understood when the side information at the decoders satisfies a certain degradedness condition. We consider cases in which this degradedness condition is violated but the source and the side information consist of jointly Gaussian vectors. We provide a hierarchy of four lower bounds on the optimal rate. These bounds are then used to determine the optimal rate for several classes of instances.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2017.2694015