Applications of Cumulants in Speech Processing

Abstract

This paper analyzes applications of cumulant analysis in speech processing. The main focus is made on an integral representation for cUl1luJants using integrals involving cyclic products of kernels. These integrals serve as a tool for statistical analysis of c1ifferent statistics appearing in speech processing and speech recognition. As an example. we consider statistics based on the sample correlograrn. A representatiou for the cUlnulants of these statistics using integrals involving cyclic products of kernels is obtained.