A new time-frequency transform for non-stationary signals with any nonlinear instantaneous phase
Multidimensional Systems and Signal Processing
| Hi-index | 35.68 |
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