Direction-of-arrival estimation in applications with multipath and few snapshots |
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Authors: | Arye Nehorai David Starer Petre Stoica |
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Affiliation: | (1) Department of Electrical Engineering, Yale University, 06520 New Haven, Connecticut, USA;(2) Department of Automatic Control, Polytechnic Institute of Bucharest, Bucharest, Romania |
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Abstract: | This paper analyzes two direction-of-arrival (DOA) estimation algorithms used in the presence of multipath propagation and with very few snapshots. The conditional maximum likelihood (CML) algorithm and the method of direction estimation (MODE) are discussed. The estimates provided by these algorithms are shown to coincide for large number of snapshots or large signal-to-noise ratio. Necessary and sufficient conditions are derived for the algorithms to yield unique estimates. It is shown that their uniqueness conditions coincide with the minimal uniqueness condition on the array, that is independent of the algorithm used (if the array does not satisfy this minimal condition, no DOA estimation method can give unique estimates). Numerical examples are presented to demonstrate the theoretical results.The work of A. Nehorai and D. Starer was supported by the Air Force Office of Scientific Research under Grant No. AFOSR-90-0164 and by the Office of Naval Research under Grant No. N00014-91-J-1298. |
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