The No-Rate-Loss Property of Wyner-Ziv Coding in the Z-Channel Correlation Case

In this letter, we present the exact Wyner-Ziv limit for binary source coding with side information correlated by a Z-channel and with the Hamming-distance as distortion metric. A surprising discovery is that, unlike the general case, Wyner-Ziv coding under this setup does not suffer a rate loss com...

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Bibliographic Details
Published in:IEEE communications letters Vol. 18; no. 10; pp. 1675 - 1678
Main Authors: Deligiannis, Nikos, Sechelea, Andrei, Munteanu, Adrian, Cheng, Samuel
Format: Journal Article
Language:English
Published: IEEE 01.10.2014
Subjects:
Correlation
Decoding
Entropy
Measurement
Rate-distortion
Source coding
Source coding with side information
Wyner-Ziv coding
rate-distortion performance
no rate loss
ISSN:1089-7798, 1558-2558
Online Access:Get full text
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Summary:In this letter, we present the exact Wyner-Ziv limit for binary source coding with side information correlated by a Z-channel and with the Hamming-distance as distortion metric. A surprising discovery is that, unlike the general case, Wyner-Ziv coding under this setup does not suffer a rate loss compared to source coding with side information available at both the encoder and the decoder. Highlighting the significance of our finding, we note that this is an additional case for which Wyner-Ziv coding is shown not to suffer a rate loss apart from the quadratic Gaussian case, proven by Wyner and Ziv, and its generalization by Pradhan et al.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2014.2349986