Probability of resolution of the MUSIC algorithm

Author

Zhang, Q. T Keith

Author_Institution

Dept. of Electr. Eng., Ryerson Polytech. Inst., Toronto, Ont., Canada

Volume

43

Issue

4

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

978

Lastpage

987

Abstract

The MUSIC algorithm is well known for its high-resolution capability, and various aspects of its statistical performance have been investigated. However, rigorous asymptotic analysis of one of its most important performance measures, the probability of resolution, is not available yet. We analyze the probability of the MUSIC algorithm resolving two spatially separated signal sources in the context of array processing. By formulating the resolution problem in the framework of statistical decision theory and directly determining the probability density function (PDF) of the indefinite and singular quadratic form that defines the resolution event, we arrive at an exact asymptotic formula for the probability of resolution. This is accomplished by a multistep procedure. Computer simulations have been performed to confirm the validity of the theory

Keywords

array signal processing; decision theory; probability; signal resolution; statistical analysis; MUSIC algorithm; array processing; asymptotic analysis; computer simulations; exact asymptotic formula; performance measures; probability density function; resolution probability; resolution problem; signal resolution; singular quadratic; statistical decision theory; statistical performance; Algorithm design and analysis; Array signal processing; Decision theory; Multiple signal classification; Performance analysis; Probability; Signal analysis; Signal processing; Signal resolution; Spatial resolution;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.376849

Filename

376849