A New Subspace Identification Algorithm for

In this paper, we propose a new direction of arrival (DOA) estimator for sensor-array processing. The estimator is based on a linear algebraic connection between the standard subspace model of the array correlation matrix and a special signal-plus-interference model, which we develop in this paper. The estimator we propose is a signal subspace scaled MUSIC algorithm, which we call SSMUSIC. It is not a subspace weighted MUSIC, because the scaling depends on the eigenstructure of the estimated signal subspace. SSMUSIC has the advantage of simul- taneously estimating the DOA and the power of each source. We employ a second-order perturbation analysis of the estimator and derive stochastic representations for its bias and squared-error. We compare the new DOA estimator with the MUSIC estimator, based on these representations. Numerical results demonstrate the superior performance of SSMUSIC relative to MUSIC and the validity of the perturbation results.

[1]  Yang Lu,et al.  Unified Bias Analysis of Subspace-Based DOA Estimation Algorithms , 2000 .

[2]  Petre Stoica,et al.  Introduction to spectral analysis , 1997 .

[3]  Torsten Söderström,et al.  Optimally Weighted MUSIC for Frequency Estimation , 1995, SIAM J. Matrix Anal. Appl..

[4]  Louis L. Scharf,et al.  Signal processing applications of oblique projection operators , 1994, IEEE Trans. Signal Process..

[5]  Richard J. Vaccaro,et al.  A Second-Order Perturbation Expansion for the SVD , 1994 .

[6]  Yang Lu,et al.  Unified bias analysis for DOA estimation algorithms , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

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

[8]  Ralph Otto Schmidt,et al.  A signal subspace approach to multiple emitter location and spectral estimation , 1981 .