Least-squares design of FIR filters as a tapped cascaded interconnection of substructures

Author

Vainio, Olli

Author_Institution

Dept. of Inf. Technol., Tampere Univ. of Technol., Finland

Volume

2

fYear

2002

fDate

5-8 Nov. 2002

Firstpage

1510

Abstract

Least-squares design of FIR filters is considered for a structure consisting of a tapped cascaded interconnection of identical subfilters. By using computationally efficient substructures, savings are achieved in the number of multiplications, as compared to direct form designs of comparable integrated squared error. Analytical formulas are derived for the optimum tap coefficients, based on the time-domain composition of the overall impulse response. Examples of linear-phase lowpass and bandpass filter design are given.

Keywords

FIR filters; band-pass filters; least squares approximations; low-pass filters; time-domain analysis; FIR filters; bandpass filter design; comparable integrated squared error; computationally efficient substructures; impulse response; least-squares design; linear-phase lowpass filter design; optimum tap coefficients; subfilters; tapped cascaded interconnection; time-domain composition; Adders; Constraint optimization; Digital arithmetic; Digital filters; Error analysis; Finite impulse response filter; Frequency response; Information technology; Time domain analysis; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

IECON 02 [Industrial Electronics Society, IEEE 2002 28th Annual Conference of the]

Print_ISBN

0-7803-7474-6

Type

conf

DOI

10.1109/IECON.2002.1185503

Filename

1185503