Design of a class of IIR eigenfilters with time- and frequency-domain constraints

Author

Pei, Soo-Chang ; Hsu, Chia-Chen ; Wang, Peng-Hua

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

49

Issue

2

fYear

2002

fDate

2/1/2002 12:00:00 AM

Firstpage

145

Lastpage

151

Abstract

An effective eigenfilter approach is presented to design special classes of infinite-impulse response (IIR) filters with time- and frequency-domain constraints is presented. By minimizing a quadratic measure of the error in the passband and stopband, an eigenvector of an appropriate real symmetric and positive-definite matrix is computed to get the filter coefficients. Several IIR filters such as notch filters, Nyquist filters and partial response filters can be easily designed by this approach. Some numerical design examples are illustrated to show the effectiveness of this approach

Keywords

IIR filters; eigenvalues and eigenfunctions; frequency-domain synthesis; network synthesis; notch filters; time-domain synthesis; Nyquist filter; eigenvector; frequency domain; infinite-impulse response eigenfilter; notch filter; numerical design; partial response filter; quadratic error minimization; real symmetric positive-definite matrix; time domain; Digital filters; Finite impulse response filter; Frequency domain analysis; Frequency response; IIR filters; Interference constraints; Intersymbol interference; Narrowband; Signal processing; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/TCSII.2002.1002516

Filename

1002516