Compactification of the stationary channel space

[摘要] Topologization of the set consisting of all channels is given. This result is applied to the proof that the entropy rates and the transmission rate are jointly upper semi-continuous on the product topological space constructed from the stationary regular Borel probability measures and the stationary channels. Finally, it is proved that there exists a combination of an input stationary measure and a stationary channel having finite memory which can make the transmission rate maximal. (C) 2000 Academic Press.

[发布日期] 2000-10-01