Cramer-Rao Bound, MUSIC, and Maximum Likelihood. Effects of Temporal Phase Difference
NAVAL OCEAN SYSTEMS CENTER SAN DIEGO CA
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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 andor when their normalized correlation magnitude was high. Numerical examples obtained from specializing general formulas agreed with our results.
- Numerical Mathematics