Detection of the number of sources at low signal-to-noise ratio

A new method to detect the number of sources in array signal processing is proposed. Most source detection techniques perform reasonably well at medium or high signal-to-noise ratio (SNR), but not at low SNR. This method exploits eigenvectors, instead of sample eigenvalues, for source enumeration. It employs the blind beamforming technique and the peak-to-average power ratio based frequency estimation algorithm to estimate the number of sources. Simulation results show that the proposed method is superior to the minimum description length and predictive description length algorithms at low SNR.

[1]  A. V. D. Veen Algebraic methods for deterministic blind beamforming , 1998, Proc. IEEE.

[2]  Abdelhak M. Zoubir,et al.  Detection of sources using bootstrap techniques , 2002, IEEE Trans. Signal Process..

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

[4]  Harry L. Van Trees,et al.  Optimum Array Processing , 2002 .

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

[6]  Hagit Messer,et al.  Order statistics approach for determining the number of sources using an array of sensors , 1999, IEEE Signal Processing Letters.

[7]  H. Akaike A new look at the statistical model identification , 1974 .

[8]  D. A. Hill,et al.  Experimental carrier detection of BPSK and QPSK direct sequence spread spectrum signals , 1995, Proceedings of MILCOM '95.

[9]  Barry G. Quinn,et al.  The Estimation and Tracking of Frequency , 2001 .

[10]  L.H. Sibul,et al.  Blind source separation and beamforming: algebraic technique analysis , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[11]  Shahrokh Valaee,et al.  An information theoretic approach to source enumeration in array signal processing , 2004, IEEE Transactions on Signal Processing.

[12]  Andrzej Cichocki,et al.  Adaptive Blind Signal and Image Processing - Learning Algorithms and Applications , 2002 .

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

[14]  Björn E. Ottersten,et al.  Detection and estimation in sensor arrays using weighted subspace fitting , 1991, IEEE Trans. Signal Process..

[15]  Douglas B. Williams,et al.  Using the sphericity test for source detection with narrow-band passive arrays , 1990, IEEE Trans. Acoust. Speech Signal Process..

[16]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[17]  Fu Li,et al.  An eigenvector technique for detecting the number of emitters in a cluster , 1994, IEEE Trans. Signal Process..

[18]  R. Kumaresan,et al.  Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood , 1982, Proceedings of the IEEE.

[19]  T. W. Anderson An Introduction to Multivariate Statistical Analysis , 1959 .