Error Probability of Distributed Arithmetic Coding

doi:10.1109/LCOMM.2021.3114591

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Error Probability of Distributed Arithmetic Coding

2021-12-01

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Yong Fang *

Nan Yang

陈军 (Jun Chen)

DOI：10.1109/LCOMM.2021.3114591

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Abstract

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Distributed Arithmetic Coding (DAC) is an interesting realization of Slepian-Wolf coding that performs nonlinear coset-like partition for equiprobable binary sources. Just as in other coding problems, it is a very important issue to theoretically predict the decoding error probability of DAC. This letter proposes a plausible solution to this difficult issue. Our analyses are based on the concept of coexisting interval introduced in our previous work. Specifically, we use it to deduce the probability that two given codewords coexist in the same coset. Experimental results confirm the correctness of our theoretical analyses.

Keywords:

Decoding

Error probability

Arithmetic

Encoding

Codes

Hamming distance

Tools

Distributed arithmetic coding

Slepian-Wolf coding

coexisting interval

frame error rate

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