Title :
On the Duality Between Slepian–Wolf Coding and Channel Coding Under Mismatched Decoding
Author :
Chen, Jun ; He, Da-Ke ; Jagmohan, Ashish
Author_Institution :
Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, ON, Canada
Abstract :
In this paper, Slepian-Wolf coding with a mismatched decoding metric is studied. Two different dualities between Slepian-Wolf coding and channel coding under mismatched decoding are established. These two dualities provide a systematic framework for comparing linear Slepian-Wolf codes, nonlinear Slepian-Wolf codes, and variable-rate Slepian-Wolf codes. In contrast with the fact that linear codes suffice to achieve the Slepian-Wolf limit under matched decoding, the minimum rate achievable with nonlinear Slepian-Wolf codes under mismatched decoding can be strictly lower than that achievable with linear Slepian-Wolf codes.
Keywords :
channel coding; decoding; linear codes; nonlinear codes; variable rate codes; Slepian-Wolf coding; Slepian-Wolf limit; channel coding; mismatched decoding; nonlinear Slepian-Wolf codes; variable-rate Slepian-Wolf codes; Channel coding; Decoding; Error correction; Error probability; H infinity control; Helium; Linear code; Probability distribution; Robustness; Belief propagation; Slepian–Wolf coding; channel coding; duality; mismatched decoding;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2025527
