A Proof of Existence of a Unique Solution to the Problem of Adaptive Beamforming Subject to Linear Constraints.

Abstract

A description of adaptive beamforming in the presence of linear constraints is given. It is proved that if the number of constraints does not exceed a stated maximum then the adaptive process determines one unique beam pattern. The proof is first written out explicitly using elementary algebra, and second in matrix form. The matrix form has the advantage of compactness and makes possible the writing of a simple formula for the weights which themselves define the beam pattern. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA093408

Entities

People

  • M. F. C. Woollett

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Aircrafts
  • Arrays
  • Covariance
  • Detectors
  • Equations
  • Linear Arrays
  • Navigation
  • Numbers
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Real Numbers
  • Signal Processing
  • Simultaneous Equations

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Operations Research
  • Phased Array Antenna Design.