Polar codes for distributed hierarchical source coding

Min Ye; Alexander Barg

doi:10.3934/amc.2015.9.87

Article Contents

2015, Volume 9, Issue 1: 87-103. Doi: 10.3934/amc.2015.9.87

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Polar codes for distributed hierarchical source coding

Min Ye^1, and
Alexander Barg^2,

1.
Department of ECE and Institute for Systems Research, University of Maryland, College Park, MD 20742
2.
Dept. of ECE and Institute for Systems Research, University of Maryland, College Park, MD 20742

Received: May 2014

Published: February 2015

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Abstract

We show that polar codes can be used to achieve the rate-distortion functions in the problem of hierarchical source coding also known as the successive refinement problem. We also analyze the distributed version of this problem, constructing a polar coding scheme that achieves the rate distortion functions for successive refinement with side information.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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