Use of the Weiss-Weinstein Bound to Compare the Direction-Finding Performance of Sparse Arrays

Abstract

Weiss and Weinstein have recently derived a new lower bound on random parameter estimation error. This report makes use of this bound to develop a criterion for comparing two sparse array configurations. The arrays are first adjusted in size so that their direction-finding (DF) accuracies at high element signal-to-noise ratio (ESNR) are the same when averaged over all possible directions of arrival in the hemisphere. Then their threshold ESNRs are calculated using the Weiss-Weinstein bound. The array having the lower threshold ESNR is judged the better array. As an example of the application of the bound, three 7-element arrays, a circle, a spiral, and an L-shaped array, are compared. The bound is also extended to the case of switched subarrays, where data are collected from several subarrays sequentially in time and processed as a unit. The purpose is to achieve DF accuracy approaching that of the full array while reducing the number of signal processing channels. An example, using five receivers on the 7-element spiral array, shows that this is indeed possible.

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Document Details

Document Type
Technical Report
Publication Date
Aug 16, 1993
Accession Number
ADA272582

Entities

People

  • D. F. Delong

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Angle Of Arrival
  • Computational Science
  • Computations
  • Computer Programs
  • Coordinate Systems
  • Direction Finding
  • Equations
  • Errors
  • Estimators
  • Geometry
  • Growth Factors
  • Hemispheres
  • Mathematical Models
  • Probability
  • Simulations
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Phased Array Antenna Design.