Performance analysis of DOA estimation based on nonlinear functions of covariance matrix

Abstract The performance of direction of arrival estimators based on R−k is studied. Expressions are derived for variance, bias and resolution threshold of the estimators due to finite sample effects. Analytical expressions are verified with simulation results and comparisons are made with the performance of MUSIC. The mean square error is suggested as a criterion for selection of k. Different noise scenarios are considered and studied as a function of k.

[1]  Harry B. Lee,et al.  Resolution threshold of beamspace MUSIC for two closely spaced emitters , 1990, IEEE Trans. Acoust. Speech Signal Process..

[2]  Benjamin Friedlander.  A sensitivity analysis of the MUSIC algorithm , 1990, IEEE Trans. Acoust. Speech Signal Process..

[3]  H. Cox.  Resolving power and sensitivity to mismatch of optimum array processors , 1973 .

[4]  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..

[5]  A. Lee Swindlehurst,et al.  A Performance Analysis ofSubspace-Based Methods in thePresence of Model Errors { Part I : The MUSIC AlgorithmA , 1992 .

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

[7]  Anthony J. Weiss,et al.  The resolution threshold of a direction-finding algorithm for diversely polarized arrays , 1994, IEEE Trans. Signal Process..

[8]  N. L. Owsley,et al.  Signal Subspace Based Minimum-Variance Spatial Array Processing , 1985, Nineteeth Asilomar Conference on Circuits, Systems and Computers, 1985..

[9]  J. Capon.  High-resolution frequency-wavenumber spectrum analysis , 1969 .

[10]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

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

[12]  B. A. D. H. Brandwood.  A complex gradient operator and its applica-tion in adaptive array theory , 1983 .

[13]  Petre Stoica,et al.  Large-Sample Analysis of Music and Min-Norm Direction Estimators in the Presence of Model Errors , 1994 .

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