Representation of pseudoperiodic signals by means of pitch-synchronous frequency warped wavelet transform

In this paper we discuss a novel representation of pseudoperiodic signals based on a frequency warped pitch-synchronous transform. The unitary warping operation is performed by means of the discrete Laguerre transform and controlled by the Laguerre parameter. This parameter can be adapted to the characteristics of the signal. In particular, for a large class of signals, by means of frequency warping one can regularize the spacing of the partials, so that the resulting signal is pseudo-harmonic. By applying the Pitch-Synchronous Wavelet Transform to the regularized signal one can achieve an interesting separation of noise and transients from the resonant components. These concepts are integrated in a single unitary transform. The Pitch-Synchronous Frequency Warped Wavelet Transform has applications in sound analysis, coding and synthesis.