Geometric Characterization of Eigenvalues of Covariance Matrix for Two- Source Array Processing

Abstract

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 a certain 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; (2) the behavior of the eigenvalues and their ratio as functions of the real triplet with respect to array processing, and; (3) a characterization of Speiser's eigenvalues bounds specialized to the two source scenario.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1991
Accession Number
ADA236923

Entities

People

  • S. I. Chou

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Base Lines
  • Boundaries
  • Celestial Brightness
  • Covariance
  • Detectors
  • Eigenvalues
  • Equations
  • Geometric Forms
  • Geometry
  • Information Operations
  • Intervals
  • Lines (Geometry)
  • Low Angles
  • Numbers
  • Radar Tracking
  • Real Numbers
  • Signal Processing

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Linear Algebra