A method for the optimal pattern synthesis of linear arrays with prescribed nulls

Author

Shpak, Dale J.

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

44

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

286

Lastpage

294

Abstract

A new L_∞ optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This iterative method provides for the exact specification of the beam width, while at the same time allowing for the specification of the relative levels of individual sidelobes by index or as a function of bearing (e.g., angularly-extended nulls), as well as the realization of specified narrowband nulls. The resulting array factors are optimal in the weighted L_∞ sense and, in general, have complex coefficients. This new Remez-type method employs multiple objective functions to provide the degrees of freedom that are required for exact null placement. Examples which demonstrate the design flexibility offered by the method are included for various sum and difference patterns, including superdirective and shaped-beam arrays

Keywords

antenna radiation patterns; antenna theory; directive antennas; iterative methods; linear antenna arrays; optimisation; L_∞ optimal method; Remez-type method; angularly-extended nulls; antenna arrays; asymmetrical far-field pattern functions; beam width; bearing; complex coefficients; difference patterns; iterative method; linear arrays; multiple objective functions; narrowband nulls; optimal pattern synthesis; shaped-beam array; sidelobes; sum patterns; superdirective arrays; Algorithm design and analysis; Computational efficiency; Digital filters; Iterative methods; Linear programming; Narrowband; Null value; Optimization methods; Perturbation methods; Polynomials;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.486295

Filename

486295