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.
ASJC Scopus subject areas
- Signal Processing
- Electrical and Electronic Engineering