Performance analysis of spatial smoothing with interpolated arrays

Author

Weiss, Anthony J. ; Friedlander, Benjamin

Author_Institution

Dept. of Electr. Eng., Tel Aviv Univ., Israel

Volume

41

Issue

5

fYear

1993

fDate

5/1/1993 12:00:00 AM

Firstpage

1881

Lastpage

1892

Abstract

The interpolated spatial smoothing algorithm is a computationally efficient method for estimating the directions of arrival (DOAs) of signals, some of which may be perfectly correlated. It extends the spatial smoothing method to arbitrary array geometries. A statistical performance analysis of the algorithm is presented. Closed-form expressions for the covariance matrix of the DOA estimation errors are derived using a perturbation analysis. Evaluating these expressions for specific cases and comparing them to the Cramer-Rao lower bound for the DOA estimates provides insight into the statistical efficiency of this algorithm. The formulas for the error covariance are quite general and can be specialized to provide results for other DOA estimation algorithms as well

Keywords

array signal processing; error analysis; interpolation; matrix algebra; statistical analysis; Cramer-Rao lower bound; DOA estimation errors; array geometries; closed form expressions; covariance matrix; directions of arrival; error covariance; interpolated arrays; interpolated spatial smoothing algorithm; statistical efficiency; statistical performance analysis; Covariance matrix; Direction of arrival estimation; Estimation error; Geometry; Interpolation; Maximum likelihood estimation; Performance analysis; Signal processing algorithms; Signal resolution; Smoothing methods;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.215306

Filename

215306