Cramer-Rao Bound, MUSIC, and Maximum Likelihood. Effects of Temporal Phase Difference

Abstract

We derived closed-form expressions for the Cramer-Rao Bound, MUSIC< and Maximum Likelihood (ML) asymptotic variances corresponding to the two-source direction-of-arrival estimation where sources were modeled as deterministic signals impinging on a uniform linear array. The choice of the center of the array as the coordinate reference resulted in compact expressions that greatly facilitated our study of effects of temporal phase difference (correlation phase) of the two sources on asymptotic variances of estimation error. These effects were shown to be intensified when the two signals were closely spaced and/or when their normalized correlation magnitude was high. Numerical examples obtained from specializing general formulas agreed with our results.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1990
Accession Number
ADA230259

Entities

People

  • C. V. Tran

Tags

Communities of Interest

  • Sensors

DTIC Thesaurus Topics

  • Abstracts
  • Angle Of Arrival
  • Arrays
  • Covariance
  • Detectors
  • Eigenvalues
  • Eigenvectors
  • Gaussian Processes
  • Geometry
  • Intervals
  • Linear Arrays
  • Narrowband
  • Numbers
  • Plane Waves
  • Signal Processing
  • Standards
  • Waves

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

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  • Space
  • Space - Space Objects