Eigenvalues of Covariance Matrix for Two-Source Array Processing

Abstract

Eigenvalue weighting appears in some noise subspace methods, in parametric signal subspace fitting methods, and in nonparametric subspace adaptive nulling beamforming. For a two-source array processing scenario, normalized eigenvalues' expressions lambda sub 1 and lambda sub 2 are reduced to forms depending only on a real triplet: phase-dependent variable xi, phase- independent variable eta, and power ratio is confined to an isosceles-like region. We characterize: (1) this isosceles-like region and the many-to-one mapping from the Cartesian product of the temporal and spatial correlation unit- disks onto this region, and (2) the behavior of the eigenvalues and their ratio as functions of the real triplet both analytically and graphically with respect to array processing.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1991
Accession Number
ADA236924

Entities

People

  • S. I. Chou

Tags

Communities of Interest

  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Arrays
  • Beam Forming
  • Boundaries
  • Computers
  • Covariance
  • Data Processing
  • Detectors
  • Direction Finding
  • Eigenvalues
  • Geometric Forms
  • Geometry
  • Linear Arrays
  • Lines (Geometry)
  • Plane Waves
  • Position Finding
  • Signal Processing
  • Steering

Readers

  • Linear Algebra
  • Radio communications and signal processing.
  • Regression Analysis.