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Fair Numerical Algorithm of Coset Cardinality Spectrum for Distributed Arithmetic Coding.

Yong Fang1, Nan Yang1

  • 1School of Information Engineering, Chang'an University, Xi'an 710064, China.

Entropy (Basel, Switzerland)
|March 29, 2023
PubMed
Summary
This summary is machine-generated.

This study refines the numerical algorithm for calculating the Coset Cardinality Spectrum (CCS) in Distributed Arithmetic Coding (DAC). The improved method accurately approximates CCS, overcoming theoretical imperfections in previous algorithms for Slepian-Wolf coding.

Keywords:
Slepian-Wolf codingcoset cardinality spectrumdistributed arithmetic codingnumerical algorithm

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Area of Science:

  • Information Theory
  • Coding Theory
  • Signal Processing

Background:

  • Distributed Arithmetic Coding (DAC) is a key technique for asymmetric Slepian-Wolf coding.
  • The Coset Cardinality Spectrum (CCS) is crucial for understanding DAC's partitioning of source space and for decoder design.
  • Calculating CCS typically relies on numerical approximation algorithms.

Purpose of the Study:

  • To identify theoretical imperfections in the existing numerical algorithm for CCS approximation.
  • To develop a refined numerical algorithm for accurate CCS calculation.
  • To improve the theoretical understanding and practical decoder design of DAC.

Main Methods:

  • Theoretical analysis of the contemporary numerical algorithm for CCS.
  • Refinement of the existing numerical algorithm based on rigorous mathematical derivations.
  • Experimental validation of the refined algorithm against the original version.

Main Results:

  • The contemporary numerical algorithm for CCS was found to be theoretically imperfect and does not converge to the true CCS.
  • The refined numerical algorithm successfully addresses the convergence and accuracy issues of the original method.
  • Experimental results confirm the superiority of the refined algorithm.

Conclusions:

  • The refined numerical algorithm provides a theoretically sound and practically accurate method for CCS calculation in DAC.
  • This advancement is expected to enhance the performance and understanding of Slepian-Wolf coding systems.
  • The improved CCS approximation facilitates more effective DAC decoder design.