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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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