Implementation of recursive filters using highly quantized periodically time-varying coefficients

Author

Ghanekar, Sachin ; Tantaratana, Sawasd ; Franks, Lewis E.

Author_Institution

Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA

fYear

1991

fDate

14-17 Apr 1991

Firstpage

1625

Abstract

A multiplierless realization of IIR (infinite impulse response) filters is proposed. It is achieve by cascading biquad units (second-order filters), and each biquad unit is realized by a periodically time-varying state-space (PTV-SS) structure, preceded and followed by a first-order interpolator (hold circuit) and a decimator (down-sampler), respectively. The coefficients of the PTV-SS structure are powers of two, so that multiplications are performed by shift operations. Design examples show that the resulting frequency response closely matches that of the target filter with infinite-precision coefficients

Keywords

digital filters; IIR digital filters; biquad units; decimator; down-sampler; first-order interpolator; frequency response; hold circuit; infinite impulse response; infinite-precision coefficients; multiplications; multiplierless filters; periodically time-varying coefficients; periodically time-varying state-space; quantised coefficients; second-order filters; shift operations; Circuits; Digital filters; Eigenvalues and eigenfunctions; Finite impulse response filter; Frequency response; IIR filters; Matched filters; Narrowband; Time varying systems; Very large scale integration;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Conference_Location

Toronto, Ont.

ISSN

1520-6149

Print_ISBN

0-7803-0003-3

Type

conf

DOI

10.1109/ICASSP.1991.150581

Filename

150581