Error Exponent of Coding for Stationary Memoryless Sources with a Fidelity Criterion

  • Authors:
  • Shunsuke Ihara;Masashi Kubo

  • Affiliations:
  • The author is with the Graduate School of Information Science, Nagoya University, Nagoya-shi, 464-8601 Japan. E-mail: kubo@math.nagoya-u.ac.jp,;The author is with the Graduate School of Mathematics, Nagoya University, Nagoya-shi, 464-8602 Japan.

  • Venue:
  • IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
  • Year:
  • 2005

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Abstract

We investigate the error exponent in the lossy source coding with a fidelity criterion. Marton (1974) established a formula of the reliability function for the stationary memoryless source with finite alphabet. In this paper, we consider a stationary memoryless source assuming that the alphabet space is a metric space and not necessarily finite nor discrete. Our aim is to prove that Marton's formula for the reliability function remains true even if the alphabet is general.