Chirplet approximation of band-limited, real signals made easy
This work provides a simpler, more efficient method for chirplet approximation of signals, benefiting signal processing practitioners.
The paper presents hierarchical algorithms for approximating real band-limited signals with multiple Gaussian chirps, avoiding matching pursuit and complex searches. The number of chirp terms depends only on the extrema of a signed amplitude function.
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.