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A probabilistic approach to some asymptotics in noiseless communication

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1 Author(s)
S. A. Savari ; Lucent Technol. Bell Labs., Murray Hill, NJ, USA

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

Published in:

IEEE Transactions on Information Theory  (Volume:46 ,  Issue: 4 )