Designs of Chebyshev-type complex FIR filters and digital beamformers with linear-phase characteristics

Author

Zhang, X. ; Dai, S.

Volume

141

Issue

1

fYear

1994

fDate

2/1/1994 12:00:00 AM

Firstpage

2

Lastpage

8

Abstract

Based on the theory of optimal polynomial approximation, the authors present a complex alternation theorem which shows the existence of Chebyshev complex FIR filters. According to the theorem, a method for designing Chebyshev-type complex FIR filter and DBFs with linear-phase characteristics is proposed. A zero exchange algorithm and the related procedures are used to iteratively find the best approximation to a variety of desired frequency responses and directivity patterns. Several examples are included to show the efficacy of the designs of FIR filters with multistop-/multipassband responses, DBFs with pencil beams and local low sidelobes, and pattern synthesis with a shaped mainlobe

Keywords

Chebyshev approximation; antenna radiation patterns; array signal processing; digital filters; frequency response; Chebyshev complex FIR filters; complex alternation theorem; digital beamformers; directivity patterns; frequency response; linear-phase characteristics; low sidelobes; multipassband response; multistopband response; optimal polynomial approximation; pattern synthesis; pencil beams; shaped mainlobe; zero exchange algorithm;

fLanguage

English

Journal_Title

Vision, Image and Signal Processing, IEE Proceedings -

Publisher

iet

ISSN

1350-245X

Type

jour

DOI

10.1049/ip-vis:19949707

Filename

278128