Detection of coherent and noncoherent signals via the stochastic signals model

A novel method for detection of coherent and noncoherent signals, based on the application of Rissanen's minimum description length principle for model selection to the stochastic signals model, is presented. In this method, the detection and localization are done simultaneously, with the location estimator coinciding with the maximum likelihood estimator derived by Bohme. The proposed method outperforms the recently proposed method of Wax and Ziskind (1989), especially in the threshold region. Another important factor in the improved performance is the maximum likelihood estimator for the stochastic signals model which, unlike the maximum likelihood estimator of the deterministic signals used in the solution of Wax and Ziskind, is efficient. Simulation results demonstrating the improved performance are included.<<ETX>>

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

[2]  Ilan Ziskind,et al.  Detection of the number of coherent signals by the MDL principle , 1989, IEEE Trans. Acoust. Speech Signal Process..

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

[4]  Lennart Ljung,et al.  Asymptotic results for sensor array processing , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

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

[6]  Ilan Ziskind,et al.  Maximum likelihood localization of multiple sources by alternating projection , 1988, IEEE Trans. Acoust. Speech Signal Process..

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

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

[9]  Petre Stoica,et al.  MUSIC, maximum likelihood and Cramer-Rao bound: further results and comparisons , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

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

[11]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .