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Analysis of Min-Norm and MUSIC with arbitrary array geometry

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2 Author(s)
Fu Li ; Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA ; Vaccaro, R.J.

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

Published in:

Aerospace and Electronic Systems, IEEE Transactions on  (Volume:26 ,  Issue: 6 )