International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 28, Pages 1755-1770
doi:10.1155/S0161171203012250

Ergodicity and extremality of AMS sources and channels

Abstract

Asymptotically mean stationary (AMS) sources (probability measures) and channels are considered as an extension of stationary sources and channels. It is shown that each extreme point of the set of all AMS sources is ergodic, but not vice versa, and that each extreme point in the set of all AMS channels is ergodic, but not vice versa.