Performance bounds and distance spectra of variable length codes in turbo/concatenated systems

  • Authors:
  • Xavier Jaspar;Luc Vandendorpe

  • Affiliations:
  • Universite Catholique de Louvain, Laboratoire de Telecommunications et Teledetection, Louvain-la-Neuve, Belgium;Universite Catholique de Louvain, Laboratoire de Telecommunications et Teledetection, Louvain-la-Neuve, Belgium

  • Venue:
  • IEEE Transactions on Communications
  • Year:
  • 2010

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Abstract

Variable length codes (VLCs), used in data compression, are very sensitive to error propagation in the presence of noisy channels. Addressing this problem with joint source-channel turbo techniques has been proposed in the literature and looks quite promising. But to date, most code-related conclusions are based on simulations. This paper states and proves several theoretical results about the robustness of prefix VLCs concatenated with linear error correcting codes (ECC), assuming a maximum likelihood decoder. Especially, an approximate and asymptotically tight distance spectrum of the concatenated code (VLC+ECC) is rigorously developed. Together with the union bound, it provides upper bounds on the symbol and frame/packet error rates.