Computationally efficient ESPRIT algorithm for direction-of-arrival estimation based on Nyström method

Cheng Qian, Lei Huang, H. C. So

Research output: Contribution to journalArticlepeer-review

58 Scopus citations

Abstract

A low-complexity ESPRIT algorithm for direction-of-arrival (DOA) estimation is devised in this work. Unlike the conventional subspace based methods, the proposed scheme only needs to calculate two sub-matrices of the sample covariance matrix, that is, R11â̂̂CK× K and R21â̂̂C(M-K)×K, avoiding its complete computation. Here, M is the number of sensors of the array, K satisfies P≤K≤min(M,N) with P being the number of source signals and N being the number of snapshots. Meanwhile, a Nyström-based approach is utilized to correctly compute the signal subspace which only requires O( MK2) flops. Thus, the proposed method has the advantage of computational attractiveness, particularly when Kâ ¡M. Furthermore, we derive the asymptotic variances of the estimated DOAs. Numerical results are included to demonstrate the effectiveness of the developed DOA estimator.

Original languageEnglish (US)
Pages (from-to)74-80
Number of pages7
JournalSignal Processing
Volume94
Issue number1
DOIs
StatePublished - Jan 1 2014

Keywords

  • Direction-of-arrival
  • ESPRIT
  • Eigenvalue decomposition
  • Signal subspace

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