Title :
Information transmission over channels with additive-multiplicative noise
Author :
Pinsker, Mark S. ; Prelov, Vyacheslav V. ; Van der Meulen, Edward C.
Author_Institution :
Inst. of Problems of Inf. Transmission, Acad. of Sci., Moscow, Russia
Abstract :
Information transmission over a stationary channel whose output signal Y={Yj} is equal to the sum Yj=UjXj+Zj,j=O,±1, …, where X={Xj}, U={Uj}, and Z={Zj } are the input signal, a multiplicative noise, and an additive noise, respectively, is considered. Under the assumption that the processes U, X, and Z are mutually independent and U is a completely singular process, it is shown that for the information rate I¯(X;Y) in such a channel the equality I¯(X;Y)=I¯(X;Y|U) holds. The asymptotic behavior of I¯(X;Y) in the case of a weak input signal is also investigated
Keywords :
channel capacity; discrete time systems; interference (signal); telecommunication channels; additive-multiplicative noise; asymptotic behavior; completely singular process; information rate; information transmission; output signal; stationary channel; weak input signal; Filtering; Information rates; Probability density function; Random variables; Reactive power; Stability; Sufficient conditions;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.708843
