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      Lower bounds on the error probability of turbo codes

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      Author
      Özçelikkale, Ayça
      Duman, Tolga M.
      Date
      2014-06-07
      Source Title
      IEEE International Symposium on Information Theory - Proceedings
      Publisher
      IEEE
      Pages
      3170 - 3174
      Language
      English
      Type
      Conference Paper
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      Abstract
      We present lower bounds on the error probability of turbo codes under maximum likelihood (ML) decoding. We focus on additive white Gaussian noise (AWGN) channels, and consider both ensembles of codes with uniform interleaving and specific turbo codes with fixed interleavers. To calculate the lower bounds, instead of using the traditional approach that only makes use of the distance spectrum, we propose to utilize the exact second order distance spectrum. This approach together with a proper restriction of the error events results in promising lower bounds. © 2014 IEEE.
      Keywords
      Information theory
      White noise
      Additive white Gaussian noise channel
      Distance spectra
      Error events
      Error probabilities
      Maximum-likelihood decoding
      Second orders
      Traditional approaches
      Uniform interleaving
      Turbo codes
      Permalink
      http://hdl.handle.net/11693/26797
      Published Version (Please cite this version)
      https://doi.org/10.1109/ISIT.2014.6875419
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      • Department of Electrical and Electronics Engineering 3524
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