A least-squares approach for the design of nonrecursive differentiators of arbitrary order

Author

Sunder, S. ; Ramachandran, Ravi P.

Author_Institution

Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada

fYear

1992

Firstpage

477

Abstract

A method which can be used to design low-pass nonrecursive linear-phase digital differentiators is described. The method involves formulating an error function based on the absolute mean-square difference between the amplitude responses of the practical and ideal differentiators as a quadratic function. The filter coefficients are obtained by solving a system of linear equations. This method leads to a lower mean-square error and is computationally more efficient than the eigenfilter method and the method based on the Remez exchange algorithm

Keywords

circuit CAD; differentiating circuits; digital filters; least squares approximations; low-pass filters; absolute mean-square difference; amplitude responses; arbitrary order; design; error function; least-squares approach; linear-phase digital differentiators; low-pass; nonrecursive differentiators; quadratic function; Biomedical signal processing; Computer errors; Digital filters; Eigenvalues and eigenfunctions; Equations; Frequency; Nonlinear filters; Signal processing algorithms; Speech; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1992., Proceedings of the 35th Midwest Symposium on

Conference_Location

Washington, DC

Print_ISBN

0-7803-0510-8

Type

conf

DOI

10.1109/MWSCAS.1992.271359

Filename

271359