Wideband maximum likelihood direction finding and signal parameter estimation by using the tree-structured EM algorithm

The expectation maximization (EM) algorithm is presented for the case of estimating direction of arrivals of unknown deterministic wideband signals. Alternative regularized least squares estimation techniques for the required signal estimation and a tree structure for the data mapping in the EM algorithm are proposed. Extensive simulation results are presented for comparison of the proposed algorithms with the conventional EM approach and the current high-resolution methods of wideband direction finding.

[1]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[2]  A. E. Hoerl,et al.  Ridge regression: biased estimation for nonorthogonal problems , 2000 .

[3]  Ehud Weinstein,et al.  Parameter estimation of superimposed signals using the EM algorithm , 1988, IEEE Trans. Acoust. Speech Signal Process..

[4]  R. A. Boyles On the Convergence of the EM Algorithm , 1983 .

[5]  O. Arikan,et al.  Wide-band maximum likelihood direction finding by using tree-structured EM algorithm , 1996, Proceedings of 8th Workshop on Statistical Signal and Array Processing.

[6]  J. S. Mehta,et al.  Two methods of evaluating hoerl and kennard's ridge regression , 1978 .

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

[8]  Shahrokh Valaee,et al.  Wideband array processing using a two-sided correlation transformation , 1995, IEEE Trans. Signal Process..

[9]  Douglas B. Williams,et al.  Counting the degrees of freedom when using AIC and MDL to detect signals , 1994, IEEE Trans. Signal Process..

[10]  H. Vinod A Survey of Ridge Regression and Related Techniques for Improvements over Ordinary Least Squares , 1978 .

[11]  Alfred O. Hero,et al.  Space-alternating generalized expectation-maximization algorithm , 1994, IEEE Trans. Signal Process..

[12]  Michael I. Miller,et al.  Maximum-likelihood narrow-band direction finding and the EM algorithm , 1990, IEEE Trans. Acoust. Speech Signal Process..

[13]  E. Weinstein,et al.  The cascade EM algorithm , 1988, Proc. IEEE.

[14]  Arthur E. Hoerl,et al.  Ridge Regression: Biased Estimation for Nonorthogonal Problems , 2000, Technometrics.

[15]  New York Dover,et al.  ON THE CONVERGENCE PROPERTIES OF THE EM ALGORITHM , 1983 .