Bias and variance analysis of MUSIC location estimates

Author

Xu, Xiao-Liang ; Buckley, Kevin

Author_Institution

Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA

fYear

1990

fDate

10-12 Oct. 1990

Firstpage

332

Lastpage

336

Abstract

Presents a statistical performance analysis of the MUSIC location estimator. Explicit and concise asymptotical expressions for both the bias and variance of MUSIC location estimates are derived for multiple source cases. These expressions are valid over a wide range of SNR extending down into the resolution threshold region of MUSIC, where analysis is of particular interest. These expressions, though asymptotical, can also be accurately applied to limited number of observation cases. In comparison with previous analysis, this new statistical analysis results in significantly less complicated statistics and derivations and is more general in that it accurately examines both the bias and variance of MUSIC location estimates. Further, this analysis approach can be applied to other eigenspace spatial-spectrum based location estimators.<>

Keywords

parameter estimation; signal processing; statistical analysis; MUSIC location estimates; asymptotical expressions; bias analysis; eigenspace spatial-spectrum based location estimators; resolution threshold region; statistical performance analysis; variance analysis; Analysis of variance; Computational complexity; Contracts; Multiple signal classification; Narrowband; Performance analysis; Sensor arrays; Sensor phenomena and characterization; Spatial resolution; Statistical analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Spectrum Estimation and Modeling, 1990., Fifth ASSP Workshop on

Conference_Location

Rochester, NY, USA

Type

conf

DOI

10.1109/SPECT.1990.205602

Filename

205602