MULTIPLE INVARIANCE ESPRIT

Citation
Al. Swindlehurst et al., MULTIPLE INVARIANCE ESPRIT, IEEE transactions on signal processing, 40(4), 1992, pp. 867-881
Citations number
39
ISSN journal
1053587X
Volume
40
Issue
4
Year of publication
1992
Pages
867 - 881
Database
ISI
SICI code
1053-587X(1992)40:4<867:MIE>2.0.ZU;2-4
Abstract
ESPIRIT is a recently developed technique for high-resolution signal p arameter estimation with applications to direction-of-arrival estimati on and time series analysis. By exploiting invariances designed into t he sensor array, parameter estimates are obtained directly, without kn owledge of the array response and without computation or search of som e spectral measure. The original formulation of ESPIRIT assumes there is only one invariance in the array associated with each dimension of the parameter space. However, in many applications, arrays that posses s multiple invariances (e.g., uniform linear arrays, uniformly sampled time series) are employed, and the question of which invariance to us e naturally arises. More importantly, it is desirable to exploit the e ntire invariance structure simultaneously in estimating the signal par ameters. Herein, a subspace-fitting formulation of the ESPIRIT problem is presented that provides a framework for extending the algorithm to exploit arrays with multiple invariances. In particular, a multiple i nvariance (MI) ESPIRIT algorithm is developed and the asymptotic distr ibution of the estimates obtained. Simulations are conducted to verify the analysis and to compare the performance of MI ESPIRIT with that o f several other approaches. The excellent quality of the MI ESPIRIT es timates is explained by recent results which state that, under certain conditions, subspace-fitting methods of this type are asymptotically efficient.