Chirplet approximation of band-limited, real signals made easy

Details Chirplet approximation of band-limited, real signals made easy Chirplet approximation of band-limited, real signals made easy

2008-09-22

arxiv.org/abs/0809.3711v1

SIAM J. Sci. Comp. (2009) ??

Mathematics

Numerical Analysis

Scientific paper

10.1137/080734674

In this paper we present algorithms for approximating real band-limited signals by multiple Gaussian Chirps. These algorithms do not rely on matching pursuit ideas. They 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 \cite{gre2} and unlike previous methods, our chirplet approximations require neither a complete dictionary of chirps nor complicated multi-dimensional searches to obtain suitable choices of chirp parameters.

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