English

An Iterative Algorithm for Computing the Optimal Exponent of Correct Decoding Probability for Rates below the Rate Distortion Function

Information Theory 2016-05-30 v3 math.IT

Abstract

The form of Dueck and K\"orner's exponent function for correct decoding probability for discrete memoryless channels at rates above the capacity is similar to the form of Csisz\'ar and K\"orner's exponent function for correct decoding probability in lossy source coding for discrete memoryless sources at rates below the rate distortion function. We recently gave a new algorithm for computing Dueck and K\"orner's exponent. In this paper, we give an algorithm for computing Csisz\'ar and K\"orner's exponent. The proposed algorithm can be also used to compute cutoff rate and the rate distortion function.

Keywords

Cite

@article{arxiv.1601.06094,
  title  = {An Iterative Algorithm for Computing the Optimal Exponent of Correct Decoding Probability for Rates below the Rate Distortion Function},
  author = {Yutaka Jitsumatsu and Yasutada Oohama},
  journal= {arXiv preprint arXiv:1601.06094},
  year   = {2016}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-22T12:35:03.250Z