Robust high-resolution direction-of-arrival estimation via signal eigenvector domain

A robust high-resolution direction-of-arrival (DOA) estimation approach for coherent/noncoherent sources is presented. The approach is based on the fact that the signal eigenvectors of the covariance matrix are a linear combination of the direction vectors that contain the DOA information. By applying a high-resolution frequency estimation algorithm to an element sequence from a combination of the signal eigenvectors, the approach achieves better performance at low SNR than the conventional methods. It is shown that the improvement in performance increases with the number of snapshots. For example, the resolution improvement of the proposed signal eigenvector domain approach over spatial-smoothed minimum-norm is about 2.5 dB and 7 dB for 20 and 100 snapshots, respectively. >

[1]  Ken Sharman,et al.  Maximum likelihood parameter estimation by simulated annealing , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[2]  Motoyuki Sato,et al.  Analysis of a borehole radar in cross-hole mode , 1991, IEEE Trans. Geosci. Remote. Sens..

[3]  Ilan Ziskind,et al.  Maximum likelihood localization of multiple sources by alternating projection , 1988, IEEE Trans. Acoust. Speech Signal Process..

[4]  Gautam M. Shroff A parallel algorithm for the eigenvalues and eigenvectors of a general complex matrix , 1990 .

[5]  Mati Wax,et al.  Detection and localization of multiple sources via the stochastic signals model , 1991, IEEE Trans. Signal Process..

[6]  J. Cadzow,et al.  Resolution of coherent signals using a linear array , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[7]  Thomas Kailath,et al.  On spatial smoothing for direction-of-arrival estimation of coherent signals , 1985, IEEE Trans. Acoust. Speech Signal Process..

[8]  A. Moghaddamjoo Application of spatial filters to DOA estimation of coherent sources , 1991 .

[9]  U. Nickel Algebraic formulation of Kumaresan-Tufts superresolution method, showing relation to ME and MUSIC methods , 1988 .

[10]  M. Zoltowski,et al.  A vector space approach to direction finding in a coherent multipath environment , 1986 .

[11]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[12]  Thomas Kailath,et al.  ESPIRT-estimation of signal parameters via rotational invariance techniques , 1989 .

[13]  Franklin T. Luk,et al.  Computing the Singular Value Decomposition on the Connection Machine , 1990, IEEE Trans. Computers.

[14]  S. DeGraaf,et al.  Improving the resolution of bearing in passive sonar arrays by eigenvalue analysis , 1981 .

[15]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[16]  Petre Stoica,et al.  Maximum likelihood methods for direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[17]  Mostafa Kaveh,et al.  The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[18]  Benjamin Friedlander,et al.  Direction finding using an interpolated array , 1990, International Conference on Acoustics, Speech, and Signal Processing.

[19]  James A. Cadzow,et al.  A high resolution direction-of-arrival algorithm for narrow-band coherent and incoherent sources , 1988, IEEE Trans. Acoust. Speech Signal Process..

[20]  G. Bienvenu,et al.  Optimality of high resolution array processing using the eigensystem approach , 1983 .

[21]  Björn E. Ottersten,et al.  Detection and estimation in sensor arrays using weighted subspace fitting , 1991, IEEE Trans. Signal Process..

[22]  S. Unnikrishna Pillai,et al.  Forward/backward spatial smoothing techniques for coherent signal identification , 1989, IEEE Trans. Acoust. Speech Signal Process..

[23]  Gautam M. Shroff Parallel algorithm for the eigenvalues and eigenvectors of a general matrix , 1990 .

[24]  Avinash C. Kak,et al.  Array signal processing , 1985 .

[25]  D. R. Farrier,et al.  Asymptotic results for eigenvector methods , 1985 .

[26]  Kevin Buckley,et al.  Bias analysis of the MUSIC location estimator , 1992, IEEE Trans. Signal Process..

[27]  Ken Sharman,et al.  Genetic algorithms for maximum likelihood parameter estimation , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[28]  R. Kumaresan,et al.  Estimating the Angles of Arrival of Multiple Plane Waves , 1983, IEEE Transactions on Aerospace and Electronic Systems.

[29]  Anthony J. Weiss,et al.  On the Cramer-Rao Bound for Direction Finding of Correlated Signals , 1993, IEEE Trans. Signal Process..

[30]  Anthony J. Weiss,et al.  Performance analysis of spatial smoothing with interpolated arrays , 1993, IEEE Trans. Signal Process..

[31]  Darel Allen Linebarger PARAMETRIC AND NON-PARAMETRIC METHODS OF IMPROVING BEARING ESTIMATION IN NARROWBAND PASSIVE SONAR SYSTEMS , 1987 .

[32]  James P. Reilly,et al.  Detection of the number of signals: a predicted eigen-threshold approach , 1991, IEEE Trans. Signal Process..

[33]  Björn E. Ottersten,et al.  Sensor array processing based on subspace fitting , 1991, IEEE Trans. Signal Process..