Optimal initial phase wavelet transform

Abstract

Localization of the wavelet series coefficients and the efficiency of representation with the wavelet transform depends on the relative initial phase of the signal and the analyzing wavelet functions, and the dependence becomes more pronounced for wideband signals. The authors a) establish the significance of initial phase for efficient representation of narrowband signals using wavelets, b) develop an algorithm of linear computational complexity to search through a uniformly tiled time-scale plane for the optimal initial phase.<>