Title :
Sampling of Stochastic Operators
Author :
Pfander, Götz E. ; Zheltov, Pavel
Author_Institution :
Sch. of Eng. & Sci., Jacobs Univ. Bremen, Bremen, Germany
Abstract :
We develop sampling methodology aimed at identifying stochastic operators that satisfy a support size restriction on the autocorrelation of the operators stochastic spreading function. The data that we use to reconstruct the operator (or, in some cases only the autocorrelation of the spreading function) is based on the response of the unknown operator to a known, deterministic test signal.
Keywords :
correlation methods; signal sampling; stochastic systems; autocorrelation; deterministic test signal; size restriction; stochastic operator identification; stochastic operator sampling; stochastic spreading function; Correlation; Fourier transforms; Modulation; Random processes; Scattering; Stochastic processes; Time-frequency analysis; Gabor frames; Haar property; Stochastic; autocorrelation; delta train; operator sampling; scattering function; spreading function; time-frequency analysis;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2014.2301444
