Null Steering Applications of Polynomials with Unimodular Coefficients.

Abstract

Concerning adaptive array and null steering applications of polynomials with restricted coefficients, the basic mathematical question to consider in electronic beam steering, with a discrete array consisting of omnidirectional elements spaced at equal increments along a straight line, is how coefficients of a polynomial may be chosen in a robust yet computationally efficient manner so as to arrive at a desired beam pattern. In numerous applications, these coefficients are required to satisfy certain restrictions, such as a bound on their dynamic range. Thus, particularly in null steering, it is often advantageous, or even necessary, for the shading coefficients to all have the same magnitude. Basic properties of such polynomials and their applications to beamforming are described. Keywords: Notched fitters, Applied mathematics.

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Document Details

Document Type
Technical Report
Publication Date
Mar 23, 1987
Accession Number
ADA191087

Entities

People

  • Donald J. Newman
  • James S. Byrnes
  • Martin Goldstein

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Human Systems
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Antenna Arrays
  • Beam Steering
  • Computer Science
  • Contracts
  • Engineering
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Polynomials
  • Random Variables
  • Scientific Research
  • Scientists
  • Steering
  • United States
  • United States Government

Readers

  • Operations Research
  • Phased Array Antenna Design.
  • Regression Analysis.

Technology Areas

  • Directed Energy
  • Microelectronics
  • Space