English

Informational Divergence and Entropy Rate on Rooted Trees with Probabilities

Information Theory 2013-10-11 v1 math.IT

Abstract

Rooted trees with probabilities are used to analyze properties of a variable length code. A bound is derived on the difference between the entropy rates of the code and a memoryless source. The bound is in terms of normalized informational divergence. The bound is used to derive converses for exact random number generation, resolution coding, and distribution matching.

Keywords

Cite

@article{arxiv.1310.2882,
  title  = {Informational Divergence and Entropy Rate on Rooted Trees with Probabilities},
  author = {Georg Böcherer and Rana Ali Amjad},
  journal= {arXiv preprint arXiv:1310.2882},
  year   = {2013}
}

Comments

5 pages. With proofs and illustrating example

R2 v1 2026-06-22T01:44:22.112Z