Detection of fully correlated signals by the MDL principle

The authors present a novel approach to the problem of detecting the number of sources impinging on a passive sensor array. The approach is applicable also to the case of fully correlated sources appearing, for example, in specular multipath propagation. Two slightly different detection criteria, both based on the minimum description length (MDL) principle and both requiring the estimation of the locations of the sources, are presented. The first is tailored to the detection problem per se, while the other is tailored to the combined detection-estimation problem. The authors prove the consistency of the two criteria and demonstrate their performance by simulation results.<<ETX>>

[1]  Thomas Kailath,et al.  On smoothed rank profile tests in eigenstructure methods for directions-of-arrival estimation , 1987, IEEE Trans. Acoust. Speech Signal Process..

[2]  I. Ziskind,et al.  Maximum likelihood estimation via the alternating projection maximization algorithm , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[3]  Hong Wang,et al.  On the performance of signal-subspace processing- Part I: Narrow-band systems , 1986, IEEE Trans. Acoust. Speech Signal Process..

[4]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[5]  Z. Bai,et al.  On detection of the number of signals in presence of white noise , 1985 .

[6]  Paruchuri R. Krishnaiah,et al.  On some nonparametric methods for detection of the number of signals , 1987, IEEE Trans. Acoust. Speech Signal Process..

[7]  J. Rissanen A UNIVERSAL PRIOR FOR INTEGERS AND ESTIMATION BY MINIMUM DESCRIPTION LENGTH , 1983 .

[8]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[9]  Ilan Ziskind,et al.  On unique localization of multiple sources by passive sensor arrays , 1989, IEEE Trans. Acoust. Speech Signal Process..

[10]  Hong Wang,et al.  On the theoretical performance of a class of estimators of the number of narrow-band sources , 1987, IEEE Trans. Acoust. Speech Signal Process..