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inria-00119600, version 2

Synchronization recovery and state model reduction for soft decoding of variable length codes

Simon Malinowski () a1, Hervé Jégou () b2, Christine Guillemot () b1

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
  • oai:hal.inria.fr:inria-00119600
  • From: 
  • Submitted on: Tuesday, 12 December 2006 23:56:47
  • Updated on: Friday, 3 December 2010 10:34:27
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