Title :
Optimal initial phase wavelet transform
Author :
Bao, Feng ; Erdol, Nurgun
Author_Institution :
Dept. of Electr. Eng., Florida Atlantic Univ., Boca Raton, FL, USA
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
Keywords :
computational complexity; optimisation; search problems; tree searching; wavelet transforms; linear computational complexity; narrowband signals; optimal initial phase wavelet transform; relative initial phase; representation; search; uniformly tiled time-scale plane; wavelet series coefficients; wideband signals; Convergence; Equations; Filter bank; Fourier series; Narrowband; Signal analysis; Wavelet analysis; Wavelet coefficients; Wavelet transforms; Wideband;
Conference_Titel :
Digital Signal Processing Workshop, 1994., 1994 Sixth IEEE
Conference_Location :
Yosemite National Park, CA
Print_ISBN :
0-7803-1948-6
DOI :
10.1109/DSP.1994.379844
