Detecting the Number of Signals at Low Signal-to-Noise Ratios

Abstract:

To improve the multi-target detection performance of sensor arrays at low signal-to-noise ratios, a new method called DTAE（Detection Technique based on Approximate Eigenvectors）is proposed. In the proposed method, the approximate eigenvectors of the signal subspace corresponding to the estimate of the source cluster centroid are computed first, then the array output data are weighted by the approximate eigenvectors, finally the estimate of the number of signals is acquired by a certain criterion using the information of the peak-to-average power ratio of the weighted data in frequency domain. Simulations show DTAE demonstrates better detection performance than traditional methods such as EDT(Eigenvector Detection Technique) and AIC（Akaike Information Criterion）etc. at low SNR.

• Periodical: Advanced Materials Research (Volumes 516-517)
• Pages: 1699-1705
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.516-517.1699
• Online since: May 2012
• Authors: Hong Cun Zhai, Xiang Yi Xu
• Keywords: A Cluster of Signals, AIC, Approximate Eigenvectors, Number of Signals, Peak-to-Average Power Ratio (PAPR)

References

[1] T. W. Anderson, "Asymptotic theory for principal component analysis," Ann. J. Math. Stat., vol. 34, pp.122-148, 1963.

[2] M. Wax and T. Kailath, "Detection of signals by information theoretic criteria," IEEE Trans. Acoust., Speech, Signal Processing, vol.33(2). pp.387-392, Apr. 1985.

DOI: 10.1109/tassp.1985.1164557

[3] H. Akaike, "A new look at the statistical model identification," IEEE Trans. Automat. Contr., vol. 19, pp.716-723, 1974.

DOI: 10.1109/tac.1974.1100705

[4] G. Schwarz, "Estimating the dimensions of a model." The Annals of Statistics. vol. 6(2), pp.461-464, 1978.

[5] J . Rissanen, "Modelling by shortest data description," Autornarica, vol. 14. pp.465-471, 1978.

[6] L. C. Zhao, P. R. Krishnaiah, and Z. D. Bai, "On detection of numbers of signals in presence of white noise," J. Multivariare Anal., vol. 20, pp.1-25, 1986.

[7] W. Chen, K. M. Wong, and J. P. Riley, "Detection of the number of signals: a predicted eigen-threshold approach", IEEE Trans. on Signal Processing, vol. 39, pp.1088-1098, May. 1991.

DOI: 10.1109/78.80959

[8] Harry Lee, Fu Li. An Eigenvector Technique for Detecting the Number of Emitters in a Cluster. IEEE Transactions on signal processing, vol. 42, no. 9, September 1994, pp.2380-2388

DOI: 10.1109/78.317859

[9] Olivia Hu, Fuchun Zhen and Michael Faulkner, Detecting the number of signals using antenna array: a signal threshold solution", Fifth International Symposium on Signal Processing and Its Applications, ISSPA'1999, Brisbane, Australia, 22-25 August, (1999)

DOI: 10.1109/isspa.1999.815818