Title :
The optimal wavelet transform and translation invariance
Author :
Bao, Feng ; Erdol, Nurgun
Author_Institution :
Dept. of Electr. Eng., Florida Atlantic Univ., Boca Raton, FL, USA
Abstract :
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
Keywords :
optimisation; signal representation; time-frequency analysis; wavelet transforms; algorithm; energy distribution; input signal shifting; nonstationary signals; optimal initial phase; optimal wavelet transform; orthonormal wavelet representations; scale domain; stationary stationary signals; time-frequency transform; time-variant representation; translation domain; translation invariance; wavelet function separability; Adaptive filters; Adaptive signal detection; Energy measurement; Phase measurement; Signal analysis; Signal processing; Time frequency analysis; Wavelet analysis; Wavelet domain; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.390102
