On the asymptotic relative efficiency of the MUSIC algorithm

Author

Porat, Boaz ; Friedlander, Benjamin

Author_Institution

Dept. of Electr. Eng., Technion, Israel Inst. of Technol., Haifa, Israel

fYear

1988

fDate

11-14 Apr 1988

Firstpage

2376

Abstract

The authors provide an analytic performance evaluation of the errors of the direction-of-arrival estimates obtained by the MUSIC algorithm for uncorrelated sources. Explicit asymptotic formulas are given for the covariances of the estimates. The covariances are then compared to the Cramer-Rao lower bound. It is shown that, for a single source, the MUSIC algorithm is asymptotically efficient. For multiple sources, the algorithm is not efficient when the SNRs (signal-to-noise ratios) of all sources tend to infinity

Keywords

error analysis; parameter estimation; signal processing; Cramer-Rao lower bound; MUSIC algorithm; asymptotic relative efficiency; covariances; direction-of-arrival estimates; error evaluation; multiple signal characterisation; multiple sources; signal processing; signal-to-noise ratios; uncorrelated sources; Additive noise; Algorithm design and analysis; Direction of arrival estimation; H infinity control; Multiple signal classification; Narrowband; Performance analysis; Sensor arrays; Signal processing algorithms; Signal to noise ratio;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Conference_Location

New York, NY

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1988.197118

Filename

197118