Title :
A class of time-frequency product optimized biorthogonal wavelet filter banks
Author :
Kolte, Ritesh ; Patwardhan, Pushkar ; Gadre, Vikram
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol. Bombay, Mumbai, India
Abstract :
The time-frequency product of any function in L2 (¿) is bounded by the uncertainty principle. This paper presents a method to design linear phase biorthogonal filter banks with the time-frequency localization as the optimality criterion. The design philosophy is to optimize the time-frequency product of the iterated wavelet, after fixing the number of vanishing moments of the analysis and synthesis lowpass filters, by adjusting a single parameter.
Keywords :
linear phase filters; low-pass filters; wavelet transforms; biorthogonal wavelet filter banks; iterated wavelet; linear phase biorthogonal filter banks; lowpass filter; optimality criterion; time-frequency localization; time-frequency product; uncertainty principle; vanishing moment; Continuous wavelet transforms; Design methodology; Design optimization; Filter bank; Finite impulse response filter; Image reconstruction; Nonlinear filters; Time frequency analysis; Uncertainty; Wavelet analysis; biorthogonal filter banks; linear phase; time-frequency localization; wavelets;
Conference_Titel :
Communications (NCC), 2010 National Conference on
Conference_Location :
Chennai
Print_ISBN :
978-1-4244-6383-1
DOI :
10.1109/NCC.2010.5430198
