A generalized approximation for the Cramer–Rao lower bound on direction‐of‐arrival estimates for a pair of closely spaced sources
作者:
D. N. Swingler,
S. Gregory,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1996)
卷期:
Volume 100,
issue 2
页码: 918-924
ISSN:0001-4966
年代: 1996
DOI:10.1121/1.416251
出版商: Acoustical Society of America
关键词: ACOUSTIC MEASUREMENTS;SPATIAL RESOLUTION;ERRORS;OPTIMIZATION;SIGNAL−TO−NOISE RATIO
数据来源: AIP
摘要:
It is demonstrated that the Cramer–Rao lower bound on direction‐of‐arrival estimation with two closely spaced, narrow‐band plane waves, with an arbitrary correlation coefficient, impinging on a uniform line array, is well‐approximated by an empirically derived, nonmatrix expression combining two previously published, special‐case approximations. The approximation is useful for a number of sensors down to about 6, signal‐to‐noise ratios from about −30 to +30 dB, and source separations down to about one‐sixth of a Rayleigh beamwidth. The root mean square error is about 11%.
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