The optimal wavelet transform and translation invariance
Fernando Ba��o, Nurgün Erdöl · 2002
Orthonormal wavelet representations are known to be time-variant. With shifting of the input signal, the energy distribution in time-scale plane also changes. We define the "separability" of a wavelet function both in the scale and translation domains as a measure of its localization with respect to translation. We derive a criterion for the optimal initial phase and then develop an algorithm for its choice in the case of stationary and nonstationary signals.>