Threshold of Overflow Probability Using Smooth Max-Entropy in Lossless Fixed-to-Variable Length Source Coding for General Sources

Shota SAITO  Toshiyasu MATSUSHIMA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E99-A   No.12   pp.2286-2290
Publication Date: 2016/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E99.A.2286
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
Category: Source Coding and Data Compression
Keyword: 
finite block length,  lossless fixed-to-variable length source coding,  overflow probability,  smooth max-entropy,  

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Summary: 
We treat lossless fixed-to-variable length source coding under general sources for finite block length setting. We evaluate the threshold of the overflow probability for prefix and non-prefix codes in terms of the smooth max-entropy. We clarify the difference of the thresholds between prefix and non-prefix codes for finite block length. Further, we discuss our results under the asymptotic block length setting.