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Wigner-based formulation of the chirplet transform

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2 Author(s)
Baraniuk, R.G. ; Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA ; Jones, D.L.

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

Published in:

Signal Processing, IEEE Transactions on  (Volume:44 ,  Issue: 12 )