Simple approximations to the Cramer-Rao lower bound on direction ofarrival for closely spaced sources

Authors:
D.N. Swingler
Affiliations:
Div. of Eng., Saint Mary's Univ., Halifax, NS
Venue:
IEEE Transactions on Signal Processing
Year:
1993

Citing 0
Cited 2

On the Cramér-Rao lower bound for biased bearings-only maneuvering target tracking

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Abstract

It is demonstrated that the Cramer-Rao lower bound (CRLB) on the directions of arrival (DOAs) of two closely spaced uncorrelated plane wave sources impinging on a uniform line array can be approximated by simple algebraic formulas which provide insight into the behavior of the bound with respect to signal-to-noise ratios (SNRs), source separation, etc. These formulas are sufficiently accurate for general use with the number of sensors between about 6 and 60, for source separations down to about 0.1 of a classical beamwidth, and for SNRs from -30 to +30 dB