Maximum likelihood separation of constant modulus signals

In this correspondence, we derive a Newton scoring algorithm for the maximum likelihood separation and direction-of-arrival (DOA) estimation of constant modulus (CM) signals using a sensor array. We present a rapidly converging scheme for the joint estimation of the signals and their directions based on their CM property. We discuss initialization and show that the complexity is moderate.

[1]  Thomas Kailath,et al.  Direction-of-arrival estimation via exploitation of cyclostationary-a combination of temporal and spatial processing , 1992, IEEE Trans. Signal Process..

[2]  S. Kay.  Fundamentals of statistical signal processing: estimation theory , 1993 .

[3]  J. Treichler,et al.  A new approach to multipath correction of constant modulus signals , 1983 .

[4]  A. V. D. Veen.  Blind source separation based on combined direction finding and constant modulus properties , 1998 .

[5]  J. F. Böhme,et al.  Estimation of spectral parameters of correlated signals in wavefields , 1986 .

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

[7]  John J. Shynk,et al.  The constant modulus array for cochannel signal copy and direction finding , 1996, IEEE Trans. Signal Process..

[8]  Philip E. Gill,et al.  Practical optimization , 1981 .

[9]  Thomas Kailath,et al.  ESPRIT-A subspace rotation approach to estimation of parameters of cisoids in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[10]  A. Gardner.  Methods of Statistics , 1941 .

[11]  Benjamin Friedlander,et al.  Direction finding algorithms based on high-order statistics , 1991, IEEE Trans. Signal Process..

[12]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[13]  Alle-Jan van der Veen,et al.  Direction-of-arrival estimation for constant modulus signals , 1999, IEEE Trans. Signal Process..

[14]  Shun-ichi Amari,et al.  Differential-geometrical methods in statistics , 1985 .