Sankhya: The Indian Journal of Statistics

1999, Volume 61, Series A, Pt. 1 ,pp. 120--138

ESTIMATING DIRECTION OF ARRIVAL OF SIGNALS: SOME ASYMPTOTIC RESULTS

By

DEBASIS KUNDU Indian Institute of Technology, Kanpur

SUMMARY. In signal processing high resolution signal parameter estimation is a significant problem. In particular the estimation of the direction of arrival of narrow band signals emitted by multiple sources received wide applications recently in signal processing literature. It is well known that among several methods, the centro symmetric TLS-ESPRIT and MUSIC work very well. In this paper we propose two new eigen decomposition methods, which work better than centro symmetric TLS-ESPRIT and MUSIC in terms of lower mean squared errors at least for small SNR and computational costs of both the methods are less than that of MUSIC or centro symmetric TLS-ESPRIT. Some asymptotic results have been obtained.

AMS (1991) subject classification.62F12, 62H12.

Key words and phrases. Direction of arrival, strong consistency, MUSIC, TLS-ESPRIT, asymptotic distributions.

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