Overflow Probability of Variable-Length Codes With Codeword Cost

Lossless variable-length source coding with codeword cost is considered for general sources. The problem setting, where we impose on unequal costs on code symbols, is called the variable-length coding with codeword cost. In this problem, the infimum of average codeword cost have already been determi...

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Veröffentlicht in:IEEE transactions on information theory Jg. 65; H. 12; S. 8194 - 8206
1. Verfasser: Nomura, Ryo
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 01.12.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Additives
Channel coding
Codes
Codeword cost
Coding
Cost function
general source
Infimum
information-spectrum
Licenses
overflow probability
Random variables
Source coding
variable-length coding
ISSN:0018-9448, 1557-9654
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Zusammenfassung:Lossless variable-length source coding with codeword cost is considered for general sources. The problem setting, where we impose on unequal costs on code symbols, is called the variable-length coding with codeword cost. In this problem, the infimum of average codeword cost have already been determined for general sources. On the other hand, the overflow probability, which is defined as the probability of codeword cost being above a threshold, have not been considered yet. In this paper, we first determine the infimum of achievable threshold in the first-order sense and the second-order sense for general sources with additive memoryless codeword cost. Then, we compute it for some special sources such as i.i.d. sources and mixed sources. A generalization of the codeword cost is also discussed.
Bibliographie:ObjectType-Article-1
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content type line 14
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2019.2941888