The design of arbitrary FIR digital filters using the eigenfilter method

Author

Nguyen, Truong Q.

Author_Institution

MIT Lincoln Lab., Lexington, MA, USA

Volume

41

Issue

3

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1128

Lastpage

1139

Abstract

The design of finite impulse response (FIR) digital filters for approximating an arbitrary function (in both magnitude and phase) in the least-square sense is studied. The design method is based on the computation of an eigenvector of an appropriate real, symmetric and positive-definite matrix. The design of the complex-coefficient filter is shown to be an extension of the design of the real-coefficient filter. Several design examples, including the constant-group-delay filters and digital phase all-pass filters, are presented. Comparisons to existing methods are made

Keywords

all-pass filters; digital filters; eigenvalues and eigenfunctions; matrix algebra; arbitrary FIR digital filters; complex-coefficient filter; constant-group-delay filters; design; digital phase all-pass filters; eigenfilter method; real symmetric positive-definite matrix; real-coefficient filter; Algorithm design and analysis; Delay; Design methodology; Digital filters; Finite impulse response filter; Helium; Least squares approximation; Least squares methods; Minimax techniques; Symmetric matrices;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.205718

Filename

205718