A probabilistic approach to some asymptotics in noiseless communication

  • Authors:
  • S. A. Savari

  • Affiliations:
  • Lucent Technol. Bell Labs., Murray Hill, NJ

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Renewal theory is a powerful tool in the analysis of source codes. We use renewal theory to obtain some asymptotic properties of finite-state noiseless channels. We discuss the relationship between these results and earlier uses of renewal theory to analyze the Lempel-Ziv (1977, 1978) codes and the Tunstall (1967) code. As a new application of our results, we provide the asymptotic performance of two of the Perl, Garey and Even (1975) prefix condition codes