WIGNER-BASED FORMULATION OF THE CHIRPLET TRANSFORM

Using the Wigner distribution, we derive and analyze a matrix formulat ion for the chirplet transform, a signal analysis tool that generalize s the wavelet and short-time Fourier transforms. The formulation expre sses 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.