Design of equiripple nonrecursive digital differentiators and Hilbert transformers using a weighted least-squares technique

Author

Sunder, S. ; Ramachandran, V.

Author_Institution

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

Volume

42

Issue

9

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

2504

Lastpage

2509

Abstract

A procedure for the design of equiripple digital differentiators (DDs) and Hilbert transformers (HTs) using a weighted least-squares technique is described. This procedure involves an iterative algorithm in which the appropriate frequency-dependent weighting function that yields an equiripple design is determined. Our procedure is used in conjunction with prediction techniques for the DD and HT lengths to design DDs and HTs, respectively, satisfying prescribed specifications

Keywords

delay circuits; differentiating circuits; digital filters; filtering and prediction theory; iterative methods; least squares approximations; transformers; transforms; Hilbert transformers; equiripple design; equiripple nonrecursive digital differentiators; frequency-dependent weighting function; iterative algorithm; prediction techniques; weighted least-squares technique; Algorithm design and analysis; Computer errors; Delay; Equations; Filters; Fourier series; Frequency response; Minimax techniques; Passband; Transformers;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.317874

Filename

317874