Title
A Note On The Epsilon-Overflow Probability Of Lossless Codes
Abstract
In this letter, we generalize the achievability of variable-length coding from two viewpoints. One is the definition of an overflow probability, and the other is the definition of an achievability. We define the overflow probability as the probability of codeword length, not per symbol, is larger than eta(n) and we introduce the epsilon-achievability of variable-length codes that implies an existence of a code for the source under the condition that the overflow probability is smaller than or equal to epsilon. Then we show that the epsilon-achievability of variable-length codes is essentially equivalent to the epsilon-achievability of fixed-length codes for general sources. Moreover by using above results, we show the condition of epsilon-achievability for some restricted sources given epsilon.
Year
DOI
Venue
2007
10.1093/ietfec/e90-a.12.2965
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
DocType
Volume
fixed-length codes, error probability, overflow probability, variable-length codes
Journal
E90A
Issue
ISSN
Citations 
12
0916-8508
1
PageRank 
References 
Authors
0.37
0
3
Name
Order
Citations
PageRank
R. NOMURA162.55
T. MATSUSHIMA210.37
Shigeichi Hirasawa37853.22