On Permutation Entropy

The aim of this work is to present a method for nding the permutation entropy of an information source via introducing another information source which has the same permutation entropy. We also nd an approximation for rank variables of the products of information sources. Moreover we show that the topological entropy of the products of the two information sources is equal to the summation of their topological entropies.

Keywords:

Topological entropy , Metric entropy , Permutation topological entropy , Permutation metric entropy , Information source.