TY - JOUR

T1 - Computationally efficient ESPRIT algorithm for direction-of-arrival estimation based on Nyström method

AU - Qian, Cheng

AU - Huang, Lei

AU - So, H. C.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

KW - Direction-of-arrival

KW - ESPRIT

KW - Eigenvalue decomposition

KW - Signal subspace

UR - http://www.scopus.com/inward/record.url?scp=84880908393&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880908393&partnerID=8YFLogxK

U2 - 10.1016/j.sigpro.2013.05.007

DO - 10.1016/j.sigpro.2013.05.007

M3 - Article

AN - SCOPUS:84880908393

VL - 94

SP - 74

EP - 80

JO - Signal Processing

JF - Signal Processing

SN - 0165-1684

IS - 1

ER -