The design of peak-constrained least squares FIR filters with low-complexity finite-precision coefficients

Author

Fox, Trevor W. ; Turner, Laurence E.

Author_Institution

Calgary Univ., Alta., Canada

Volume

49

Issue

2

fYear

2002

fDate

2/1/2002 12:00:00 AM

Firstpage

151

Lastpage

154

Abstract

A method for the design of peak-constrained least squares (PCLS) finite-impulse response (FIR) digital filters with low-complexity finite-precision coefficients (FPC) based on Adams´ optimality criterion and an efficient local search is presented. Simple quantization of the infinite precision coefficients typically leads to filter designs which fail to meet the frequency response, passband to stopband energy ratio (PSR) and coefficient complexity (number of coefficient adders and subtractors) specifications. It is shown that it is possible to design a filter with an acceptable PSR that meets the frequency response specification while using a reduced number of adders and subtractors

Keywords

FIR filters; adders; digital filters; frequency response; least squares approximations; quantisation (signal); Adams´ optimality criterion; coefficient adders; coefficient complexity; coefficient subtractors; efficient local search; filter designs; frequency response; low-complexity finite-precision coefficients; passband to stopband energy ratio; peak-constrained least squares FIR filters; quantization; Adaptive signal processing; Attenuation; Circuits; Digital filters; Finite impulse response filter; IIR filters; Least squares methods; Nonlinear filters; Notice of Violation; Signal processing;

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.2002.1002517

Filename

1002517