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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Veröffentlicht in:IEEE transactions on information theory 2017-08, Vol.63 (8), p.5162-5178
Hauptverfasser: Unal, Sinem, Wagner, Aaron B.
Format: Artikel
Sprache:eng
Schlagworte:
Communication channels
Covariance matrices
Decoders
Decoding
Distortion
Encoding
Indexes
Lower bounds
Rate-distortion
side information
vector Gaussian
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description 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.
doi_str_mv 10.1109/TIT.2017.2694015
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subjects Communication channels
Covariance matrices
Decoders
Decoding
Distortion
Encoding
Indexes
Lower bounds
Rate-distortion
side information
vector Gaussian
title Vector Gaussian Rate-Distortion With Variable Side Information
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