Approximation of Real, Band-Limited Signals



J.M. Greenberg
Carnegie Mellon Univeristy
Department of Mathematical Sciences
Pittsburgh, PA 15213
greenber@andrew.cmu.edu

Abstract: In this paper we present algorithms for approximating real band-limited signals by multiple Gaussian Chirps. These algorithms are hierarchial and, at each stage, the number of terms in a given approximation depends only on the number of positive-valued maxima and negative-valued minima of a signed amplitude function characterizing part of the signal. Like the algorithms used in [1] and unlike previous methods, our chirp approximations require neither a complete dictionary of chirps nor complicated multi-dimensional searches to obtain suitable choices of chirp parameters.

Get the paper in its entirety as