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Analysis and Design of Tuned Turbo Codes

  • Christian Koller
  • Alexandre Graell i Amat
  • Joerg Kliewer
  • Francesca Vatta
  • Kamil Zigangirov
  • Daniel J. Jr. Costello
Publiceringsår: 2012
Språk: Engelska
Sidor: 4796-4813
Publikation/Tidskrift/Serie: IEEE Transactions on Information Theory
Volym: 58
Nummer: 7
Dokumenttyp: Artikel i tidskrift
Förlag: IEEE--Institute of Electrical and Electronics Engineers Inc.


It has been widely observed that there exists a fundamental tradeoff between the minimum (Hamming) distance properties and the iterative decoding convergence behavior of turbo-like codes. While capacity-achieving code ensembles typically are asymptotically bad in the sense that their minimum distance does not grow linearly with block length, and they therefore exhibit an error floor at moderate-to-high signal-to-noise ratios, asymptotically good codes usually converge further away from channel capacity. In this paper, we introduce the concept of tuned turbo codes, a family of asymptotically good hybrid concatenated code ensembles, where asymptoticminimum distance growth rates, convergence thresholds, and code rates can be tradedoff using two tuning parameters: lambda and mu By decreasing lambda, the asymptotic minimum distance growth rate is reduced in exchange for improved iterative decoding convergence behavior, while increasing lambda raises the asymptotic minimum distance growth rate at the expense of worse convergence behavior, and thus, the code performance can be tuned to fit the desired application. By decreasing mu, a similar tuning behavior can be achieved for higher rate code ensembles.


  • Electrical Engineering, Electronic Engineering, Information Engineering
  • Concatenated codes
  • distance growth rates
  • extrinsic information
  • transfer (EXIT) charts
  • Hamming distance
  • iterative decoding
  • turbo
  • codes


  • ISSN: 0018-9448

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