Performance analysis of Root-Music

Author

Rao, Bhaskar D. ; Hari, K.V.S.

Author_Institution

AMES Dept.-Syst. Sci., California Univ., San Diego, La Jolla, CA, USA

Volume

37

Issue

12

fYear

1989

fDate

12/1/1989 12:00:00 AM

Firstpage

1939

Lastpage

1949

Abstract

The authors analyze the performance of Root-Music, a variation of the MUSIC algorithm, for estimating the direction of arrival (DOA) of plane waves in white noise in the case of a linear equispaced sensor array. The performance of the method is analyzed by examining the perturbation in the roots of the polynomial formed in the intermediate step of Root-Music. In particular, asymptotic results for the mean squared error in the estimates of the direction of arrival are derived. Simplified expressions are presented for the one- and two-source case and compared to those obtained for least-squares ESPRIT. Computer simulations are also presented, and they are in close agreement with the theory. An important outcome of this analysis is the fact that the error in the signal zeros has a largely radial component. This provides an explanation as to why the Root-Music is superior to the spectral MUSIC algorithm

Keywords

polynomials; signal detection; spectral analysis; MUSIC algorithm; Root-Music; direction of arrival; least-squares ESPRIT; linear equispaced sensor array; plane waves; polynomial; radial component; signal detection; simulations; spectral analysis; white noise; Algorithm design and analysis; Computer errors; Computer simulation; Direction of arrival estimation; Multiple signal classification; Performance analysis; Polynomials; Sensor arrays; Signal analysis; White noise;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.45540

Filename

45540