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

Volume

2

fYear

1995

fDate

5-8 Sep 1995

Firstpage

878

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 1995. Canadian Conference on

Conference_Location

Montreal, Que.

ISSN

0840-7789

Print_ISBN

0-7803-2766-7

Type

conf

DOI

10.1109/CCECE.1995.526567

Filename

526567