Design and multiplierless realization of maximally flat FIR digital Hilbert transformers

Author

Samadi, Saed ; Igarashi, Yoshihito ; Iwakura, Hiroshi

Author_Institution

Dept. of Commun. & Syst., Univ. of Electro-Commun., Tokyo, Japan

Volume

47

Issue

7

fYear

1999

fDate

7/1/1999 12:00:00 AM

Firstpage

1946

Lastpage

1953

Abstract

A unified treatment of approximation and realization of type-3 finite impulse response (FIR) linear-phase Hilbert transformers is presented. A simple method based on Bernstein polynomials and half-band filters is proposed to derive the transfer function of the system, and a triangular array realization based on the de Casteljau algorithm is developed from the Bernstein form of the transfer function. It is shown that the array structure, consisting of multiplierless identical modules, can be realized hierarchically using complex and real signal processing techniques

Keywords

FIR filters; Hilbert transforms; digital filters; filtering theory; linear phase filters; network synthesis; polynomials; signal processing; systolic arrays; Bernstein polynomials; approximation; array structure; complex signal processing; de Casteljau algorithm; half-band filters; maximally flat FIR digital Hilbert transformers; multiplierless identical modules; multiplierless realization; real signal processing; transfer function; triangular array; type-3 finite impulse response; Array signal processing; Finite impulse response filter; Frequency response; Least squares approximation; Polynomials; Radar signal processing; Signal processing algorithms; Systolic arrays; Transfer functions; Transformers;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.771043

Filename

771043