Time-frequency localization optimized biorthogonal wavelets

Author

Sharma, Mukesh ; Kolte, Ritesh ; Patwardhan, Pushkar ; Gadre, Vikram

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol. Bombay, Mumbai, India

fYear

2010

fDate

18-21 July 2010

Firstpage

1

Lastpage

5

Abstract

The time-frequency product of any function in L² (R) is bounded by the uncertainty principle. This paper presents a method to design linear phase biorthogonal wavelets with the time-frequency localization as the optimality criterion, improving on the previous designs on the same theme. The design philosophy is to optimize the time-frequency product of the wavelet, after fixing the number of vanishing moments of the analysis and synthesis lowpass filters of the corresponding filter bank. The regularity of the discrete filters has also been evaluated.

Keywords

indeterminancy; low-pass filters; optimisation; time-frequency analysis; wavelet transforms; discrete filters; linear phase biorthogonal wavelets; lowpass filters; optimized biorthogonal wavelets; time-frequency localization; uncertainty principle; Continuous wavelet transforms; Convergence; Eigenvalues and eigenfunctions; Filter bank; Time frequency analysis; Wavelet analysis; biorthogonal filter banks; linear phase; time-frequency localization; wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and Communications (SPCOM), 2010 International Conference on

Conference_Location

Bangalore

Print_ISBN

978-1-4244-7137-9

Type

conf

DOI

10.1109/SPCOM.2010.5560545

Filename

5560545