Smoothed eigenspace-based parameter estimation

Abstract Contemporary high-resolution Direction-Of-Arrival (DOA) techniques in sensor array processing based on the MUSIC algorithm fail when the signals are fully correlated and/or closely spaced. When the data are taken from a linear array of equally-spaced sensors, spatial smoothing or subarray averaging is the most familiar way to combat the effects of signal correlation and retain some computational efficiency. The purpose of this paper is to show analytically that improved parameter estimates result when subarray averaging is applied to a suitable reduced-rank approximation to the array covariance matrix instead of performing a conventional spatial smoothing. Further improvements can be achieved if a suitable data matrix is utilized. Simulation examples are provided to substantiate the theoretical predictions.

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

[2]  Bernard Widrow,et al.  Signal cancellation phenomena in adaptive antennas: Causes and cures , 1982 .

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

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

[5]  Mats Viberg Sensitivity of parametric direction finding to colored noise fields and undermodeling , 1993, Signal Process..

[6]  Philippe Forster,et al.  Operator approach to performance analysis of root-MUSIC and root-min-norm , 1992, IEEE Trans. Signal Process..

[7]  Jean-Pierre Le Cadre Parametric methods for spatial signal processing in the presence of unknown colored noise fields , 1989, IEEE Trans. Acoust. Speech Signal Process..

[8]  James E. Evans,et al.  Application of Advanced Signal Processing Techniques to Angle of Arrival Estimation in ATC Navigation and Surveillance Systems , 1982 .

[9]  M. Tismenetsky,et al.  Kronecker Products and Matrix Calculus (Alexander Graham) , 1983 .

[10]  John G. Proakis,et al.  Performance analysis of smoothed subspace-based estimation methods , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[11]  John G. Proakis,et al.  Further results on smoothed reduced rank subspaces , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[12]  R. Muirhead Aspects of Multivariate Statistical Theory , 1982, Wiley Series in Probability and Statistics.

[13]  Gene H. Golub,et al.  Matrix computations , 1983 .

[14]  Björn E. Ottersten,et al.  Instrumental variable approach to array processing in spatially correlated noise fields , 1994, IEEE Trans. Signal Process..

[15]  R.C. DiPietro,et al.  Enumeration of fully correlated signals by modified rank sequences , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

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