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Direction-of-arrival estimation in applications with multipath and few snapshots

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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.

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Authors and Affiliations

  1. Department of Electrical Engineering, Yale University, 06520, New Haven, Connecticut, USA

    Arye Nehorai & David Starer

  2. Department of Automatic Control, Polytechnic Institute of Bucharest, Bucharest, Romania

    Petre Stoica

Authors
  1. Arye Nehorai
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  2. David Starer
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  3. Petre Stoica
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Additional information

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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Nehorai, A., Starer, D. & Stoica, P. Direction-of-arrival estimation in applications with multipath and few snapshots. Circuits Systems and Signal Process 10, 327–342 (1991). https://doi.org/10.1007/BF01187549

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  • DOI: https://doi.org/10.1007/BF01187549

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