The Use of a Beam Space Representation and Nonlinear Programming in Phase-Only Nulling

Abstract

A new computational method is presented for calculating the phases required for minimized weight perturbation, phase-only null synthesis in linear array antenna patterns. The method uses nonlinear programming algorithms to determine the coefficients of a beam space representation of the optimal phase perturbations. The derivatives of the objective and null constraint functions with respect to the beam coefficients, required by the nonlinear programming algorithms, are calculated from analytic expressions. The beam space representation allows the number of unknowns to be reduced from half the number of array elements to the number of imposed null locations, and results in a significant reduction in computation time from that required to calculate the phase perturbations directly.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA131365

Entities

People

  • Robert A. Shore

Organizations

  • Rome Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Amplitude
  • Antennas
  • Arrays
  • Cancellation
  • Coefficients
  • Computational Science
  • Computations
  • Computer Programming
  • Equations
  • Linear Arrays
  • Mathematical Programming
  • Nonlinear Programming
  • Numerical Analysis
  • Perturbations
  • Sidelobes

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Phased Array Antenna Design.

Technology Areas

  • Space