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

fYear

1994

fDate

19-22 Apr 1994

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.390102

Filename

390102