Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting

Author

Kollár, István ; Pintelon, Rik ; Schoukens, Johan

Author_Institution

Dept. of Meas. & Instrum. Eng., Tech. Univ., Budapest, Hungary

Volume

39

Issue

6

fYear

1990

fDate

12/1/1990 12:00:00 AM

Firstpage

847

Lastpage

852

Abstract

A method for the design of both finite impulse response (FIR) and infinite impulse resonant (IIR) digital Hilbert transformers, based on a parameter estimation method for linear systems, is presented. The first approximation is performed in a least-squares (LS) sense in the complex domain. An iterative extension of the algorithm is also presented. It results in an approximation in a minimax (Chebyshev) sense and is also in the complex domain. The procedures described can be used for the design of digital filters other than Hilbert transformers since the desired frequency response is given point by point

Keywords

Chebyshev approximation; circuit CAD; computerised signal processing; digital filters; iterative methods; least squares approximations; linear network synthesis; minimax techniques; parameter estimation; Chebyshev; FIR; IIR Hilbert transformer design; complex domain; digital Hilbert transformers; digital filters; finite impulse response; infinite impulse resonant; iterative extension; least-squares; linear systems; minimax fitting; optimal design; parameter estimation; Chebyshev approximation; Design methodology; Digital filters; Finite impulse response filter; Frequency response; Iterative algorithms; Linear systems; Minimax techniques; Parameter estimation; Resonance;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.65781

Filename

65781