Analysis of Min-Norm and MUSIC with arbitrary array geometry

Author

Li, Fu ; Vaccaro, Richard J.

Author_Institution

Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA

Volume

26

Issue

6

fYear

1990

fDate

11/1/1990 12:00:00 AM

Firstpage

976

Lastpage

985

Abstract

A nonasymptotic performance comparison is presented between the Min-Norm and MUSIC algorithms for estimating the directions of arrival of narrowband plane waves impinging on an array of sensors. The analysis is based on a finite amount of sensor data. The analysis makes the assumption of high signal-to-noise ratio (SNR), and it applies to arrays of arbitrary geometry. It is shown that Min-Norm can be expressed as a certain data-dependent weighted MUSIC algorithm, and that this relationship allows a unified performance comparison. It is also shown that the variances of the estimated directions-of-arrival from the MUSIC algorithm are always smaller than those of the Min-Norm algorithm at high SNR when both algorithms employ a numerical search procedure to obtain the estimates

Keywords

signal detection; signal processing; MUSIC; Min-Norm; SNR; arbitrary array geometry; array of sensors; array processing; computerised signal processing; direction of arrival estimation; estimation theory; narrowband plane waves; nonasymptotic performance comparison; numerical search; orthogonal subspace method; signal-to-noise ratio; subspace decomposition; Algorithm design and analysis; Array signal processing; Covariance matrix; Direction of arrival estimation; Geometry; Multiple signal classification; Performance analysis; Sensor arrays; Signal analysis; Signal processing algorithms;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.62249

Filename

62249