Title
Asymptotic performance of optimal gain-and-phase estimators of sensor arrays
Abstract
For estimating angles of arrival, there are three well known algorithms: weighted noise subspace fitting (WNSF), unconditional maximum likelihood (UML), and conditional maximum likelihood (CML). These algorithms can also be used for estimating/calibrating the gains-and-phases of sensor arrays, assuming the angles of arrival are known. We show that the WNSF algorithm with an optimal weight has the same statistical efficiency as the UML algorithm but more efficient than the CML algorithm. This conclusion was known for angles of arrival estimation and is now confirmed for gains-and-phases calibration. Computationally, the WNSF algorithm is shown to be more attractive than the other two as it can be implemented via a quadratic minimization procedure for arbitrarily shaped arrays.
Year
DOI
Venue
2000
10.1109/78.887058
IEEE Transactions on Signal Processing
Keywords
Field
DocType
maximum likelihood estimate,music,unified modeling language,maximum likelihood estimation,maximum likelihood,direction,calibration,data model,angle of arrival,sensor array,indexing terms,statistical efficiency,multiple signal classification
Efficiency,Mathematical optimization,Subspace topology,Maximum likelihood,Quadratic equation,Minification,Conditional maximum likelihood,Calibration,Mathematics,Estimator
Journal
Volume
Issue
ISSN
48
12
1053-587X
Citations 
PageRank 
References 
10
0.70
12
Authors
3
Name
Order
Citations
PageRank
Qi Cheng1100.70
Y. Hua220919.58
Petre Stoica37959915.30