Title

Analysis Of Min-Norm And Music With Arbitrary Array Geometry

Document Type

Article

Date of Original Version

1-1-1990

Abstract

A new, nonasymptotic performance comparison between the Min-Norm and MUSIC algorithms is presented 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, unlike many previous asymptotic analyses. The analysis presented here 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 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. © 1990 IEEE

Publication Title

IEEE Transactions on Aerospace and Electronic Systems

Volume

26

Issue

6

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