inria-00119600, version 2
Synchronization recovery and state model reduction for soft decoding of variable length codes
Simon Malinowski
a, 1Hervé Jégou
b, 2Christine Guillemot
b, 1
IEEE Transactions on Information Theory 53, 1 (2007) 368 - 377
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.
- a – Université Rennes I
- b – INRIA
- 1: TEMICS (INRIA - IRISA)
- CNRS : UMR6074 – INRIA – Université de Rennes 1
- 2: LEAR (IMAG-INRIA Rhône-Alpes / GRAVIR)
- CNRS : FR71 – CNRS : UMR5527 – INRIA – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
- Domain : Computer Science/Information Theory and Coding
Mathematics/Information Theory
Computer Science/Networking and Telecommunication - Keywords : variable length codes – data compression – joint source/channel coding
- Available versions : v1 (2006-12-11) v2 (2006-12-13)
- inria-00119600, version 2
- http://hal.inria.fr/inria-00119600
- oai:hal.inria.fr:inria-00119600
- From: Hervé Jégou
- Submitted on: Tuesday, 12 December 2006 23:56:47
- Updated on: Friday, 3 December 2010 10:34:27
Associated documents
arXiv: cs.NI/0612063








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