Orthogonal Polynomial Based Array Design

Abstract

Array weighting designs of the Dolph-Chebyshev and Kaiser-Bessel type are based mathematically on orthogonal polynomials. The theoretical properties of these polynomials give rise to the desirable properties of the resulting arrays. This paper presents results for array weights based on a very general set of orthogonal polynomials called the Jacobi polynomials. Many interesting array far-field beampatterns are exhibited. A practical means of computing all the array weights exactly by means of one fast Fourier transform (FFT) is given. This method is quick and accurate and can compute the weights for arrays having large numbers of elements. It can efficiently compute both Dolph-Chebyshev and discrete Kaiser-Bessel weights as special cases.

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Document Details

Document Type
Technical Report
Publication Date
Jan 24, 1985
Accession Number
ADA630539

Entities

People

  • Roy L. Streit

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Arrays
  • Chebyshev Polynomials
  • Coefficients
  • Computations
  • Digital Filters
  • Far Field
  • Fast Fourier Transforms
  • Frequency
  • Information Operations
  • Intervals
  • Linear Arrays
  • Perturbations
  • Plane Waves
  • Polynomials
  • Procedures (Computers)
  • Real Variables

Readers

  • Approximation Theory.
  • Phased Array Antenna Design.