English

On the Smooth Renyi Entropy and Variable-Length Source Coding Allowing Errors

Information Theory 2015-12-22 v1 math.IT

Abstract

In this paper, we consider the problem of variable-length source coding allowing errors. The exponential moment of the codeword length is analyzed in the non-asymptotic regime and in the asymptotic regime. Our results show that the smooth Renyi entropy characterizes the optimal exponential moment of the codeword length.

Keywords

Cite

@article{arxiv.1512.06499,
  title  = {On the Smooth Renyi Entropy and Variable-Length Source Coding Allowing Errors},
  author = {Shigeaki Kuzuoka},
  journal= {arXiv preprint arXiv:1512.06499},
  year   = {2015}
}

Comments

19 pages

R2 v1 2026-06-22T12:14:39.787Z