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Synchronization Recovery and State Model Reduction for Soft Decoding of Variable Length Codes

Authors: Malinowski, Simon; Jégou, Hervé; Guillemot, Christine;

Synchronization Recovery and State Model Reduction for Soft Decoding of Variable Length Codes

Abstract

Variable length codes exhibit de-synchronization problems when transmitted over noisy channels. Trellis decoding techniques based on Maximum A Posteriori (MAP) estimators are often used to minimize the error rate on the estimated sequence. If the number of symbols and/or bits transmitted are known by the decoder, termination constraints can be incorporated in the decoding process. All the paths in the trellis which do not lead to a valid sequence length are suppressed. This paper presents an analytic method to assess the expected error resilience of a VLC when trellis decoding with a sequence length constraint is used. The approach is based on the computation, for a given code, of the amount of information brought by the constraint. It is then shown that this quantity as well as the probability that the VLC decoder does not re-synchronize in a strict sense, are not significantly altered by appropriate trellis states aggregation. This proves that the performance obtained by running a length-constrained Viterbi decoder on aggregated state models approaches the one obtained with the bit/symbol trellis, with a significantly reduced complexity. It is then shown that the complexity can be further decreased by projecting the state model on two state models of reduced size.

Keywords

Networking and Internet Architecture (cs.NI), FOS: Computer and information sciences, [INFO.INFO-NI] Computer Science [cs]/Networking and Internet Architecture [cs.NI], ACM: E.: Data/E.4: CODING AND INFORMATION THEORY, joint source/channel coding, Computer Science - Information Theory, Information Theory (cs.IT), [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT], variable length codes, 620, 004, Computer Science - Networking and Internet Architecture, [INFO.INFO-NI]Computer Science [cs]/Networking and Internet Architecture [cs.NI], [MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], [INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT], data compression

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Top 10%
Green
bronze