Title :
Comments on regular half-band filter design via Bernstein polynomial expansions
Author :
Zarowski, Christopher J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Queen´´s Univ., Kingston, Ont., Canada
Abstract :
This paper considers certain aspects of half-band filter design based upon Bernstein polynomial expansions originally due to Caglar and Akansu (1993). The Bernstein polynomial approach lends itself to design under a least-squares constraint which can lead to an eigenproblem as shown by Cooklev (1995). Certain numerical difficulties with this method are considered, and a simple way of alleviating them via a DFT/FFT method is shown. It will also be shown that the eigenproblem may be readily replaced by a simpler matrix inverse problem
Keywords :
FIR filters; band-pass filters; discrete Fourier transforms; eigenvalues and eigenfunctions; fast Fourier transforms; filtering theory; least squares approximations; matrix inversion; polynomials; quadrature mirror filters; Bernstein polynomial expansions; DFT/FFT method; FIR filter; PR-QMF filter banks; eigenproblem; half-band filter design; least-squares constraint; matrix inverse problem; perfect reconstruction quadrature mirror filter banks; Delay; Filter bank; Finite impulse response filter; Frequency response; Hydrogen; Inverse problems; Mirrors; Polynomials;
Conference_Titel :
Communications, Computers and Signal Processing, 1997. 10 Years PACRIM 1987-1997 - Networking the Pacific Rim. 1997 IEEE Pacific Rim Conference on
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-3905-3
DOI :
10.1109/PACRIM.1997.620001
