Wigner-based formulation of the chirplet transform

Richard G. Baraniuk; Douglas L. Jones

doi:10.1109/78.553486

Wigner-based formulation of the chirplet transform

Richard G. Baraniuk, Douglas L. Jones

Houston Methodist

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

Using the Wigner distribution we derive and analyze a matrix formulation for the chirplet transform a signal analysis tool that generalizes the wavelet and short-time Fourier transforms. The formulation expresses the translations scalings and shears of the chirplet transform in terms of affine matrix transformations on the time-frequency plane. Our approach leads naturally to several new signal transforms which we derive analyze and extend.

Original language	English (US)
Pages (from-to)	3129-3135
Number of pages	7
Journal	IEEE Transactions on Signal Processing
Volume	44
Issue number	12
DOIs	https://doi.org/10.1109/78.553486
State	Published - 1996

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/78.553486

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title = "Wigner-based formulation of the chirplet transform",

abstract = "Using the Wigner distribution we derive and analyze a matrix formulation for the chirplet transform a signal analysis tool that generalizes the wavelet and short-time Fourier transforms. The formulation expresses the translations scalings and shears of the chirplet transform in terms of affine matrix transformations on the time-frequency plane. Our approach leads naturally to several new signal transforms which we derive analyze and extend.",

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AB - Using the Wigner distribution we derive and analyze a matrix formulation for the chirplet transform a signal analysis tool that generalizes the wavelet and short-time Fourier transforms. The formulation expresses the translations scalings and shears of the chirplet transform in terms of affine matrix transformations on the time-frequency plane. Our approach leads naturally to several new signal transforms which we derive analyze and extend.

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Wigner-based formulation of the chirplet transform

Abstract

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