Novel Generalized max* Approximation Method for Simplified Decoding of Turbo and TTCM Codes

  • Authors:
  • Stylianos Papaharalabos;Michal Sybis;Piotr Tyczka;P. Takis Mathiopoulos

  • Affiliations:
  • Institute for Space Applications and Remote Sensing (ISARS), National Observatory of Athens, Athens, Greece 15236;Chair of Wireless Communications Poznan, University of Technology, Poznan, Poland 60-965;Chair of Wireless Communications Poznan, University of Technology, Poznan, Poland 60-965;Institute for Space Applications and Remote Sensing (ISARS), National Observatory of Athens, Athens, Greece 15236

  • Venue:
  • Wireless Personal Communications: An International Journal
  • Year:
  • 2013

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Abstract

A novel method for approximating the optimal max* operator used in Log- MAP decoding of turbo and turbo trellis-coded modulation (TTCM) codes is proposed being derived from a well-known inequality, which has not been published before. The max* operation is generalized, for the first time, and performed on n 2 rather than n = 2 arguments, as it is the conventional approach. Complexity comparisons reveal a significant reduction in the number of operations required per decoding step for the proposed approximation, as compared with the optimal Log-MAP algorithm. Performance evaluation results are presented for both turbo and TTCM codes, showing the near optimal performance of the novel approximation method in both the additive white Gaussian noise (AWGN) and uncorrelated, i.e. fully interleaved, Rayleigh fading channels.