Title :
Gegenbauer (ultraspherical) polynomials for Gabor-type wavelet approximation and FIR filter function generation in wavelet analysis
Author :
Saèd, A. ; Soltis, J.J. ; Ahmadi, M.
Author_Institution :
Dept. of Electr. Eng., Windsor Univ., Ont., Canada
Abstract :
Gegenbauer polynomials are very suitable for approximation of low-pass and bandpass finite filter functions in the time domain. The presented class of functions is characterized by a grid and an interdependence of two polynomial parameters, offering great flexibility in the choice of the filter characteristic. The provided definition of series within the class enables, that with only small optimization efforts, polynomials up to any degree can be applied in the search for the most desirable approximation
Keywords :
FIR filters; band-pass filters; low-pass filters; polynomials; time-domain analysis; wavelet transforms; DSP; FIR filter function generation; Gabor-type wavelet approximation; Gegenbauer polynomials; bandpass finite filter functions; filter characteristic; low-pass finite filter functions; optimization efforts; time domain; wavelet analysis; Band pass filters; Chebyshev approximation; Digital signal processing; Electronic mail; Filter bank; Finite impulse response filter; Low pass filters; Polynomials; Time frequency analysis; Wavelet analysis;
Conference_Titel :
Electrical and Computer Engineering, 1995. Canadian Conference on
Conference_Location :
Montreal, Que.
Print_ISBN :
0-7803-2766-7
DOI :
10.1109/CCECE.1995.526567
