Title :
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
fDate :
11/1/1990 12:00:00 AM
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;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
