Time-Delay Estimation Using Cross-ΨB-Energy Operator

In this paper, a new time-delay estimation technique based on the cross IB-energy operator [5] is introduced. This quadratic energy detector measures how much a signal is present in another one. The location of the peak of the energy operator, corresponding to the maximum of interaction between the two signals, is the estimate of the delay. The method is a fully data-driven approach. The discrete version of the continuous-time form of the cross IBenergy operator, for its implementation, is presented. The effectiveness of the proposed method is demonstrated on real underwater acoustic signals arriving from targets and the results compared to the cross-correlation method.

Authors:

• Z. Saidi
• A.O. Boudraa
• J.C. Cexus
• S. Bourennane

Keywords:

• Teager-Kaiser energy operator
• Cross-energyoperator
• Time-Delay
• Underwater acoustic signals.

References:

[1] S. Haykin, Adaptive Filter Theory. Prentice-Hall, Inc., New-Jersey,
1996.
[2] B.G. Ferguson, "Improved time-delay estimates of underwater acoustic
signals using beamforming and prefiltering techniques," IEEE Trans.
Oceanic Eng., vol. 14, no. 3, pp. 238-244, 1989.
[3] S. Chandran, M.K. Ibrahim, "DOA estimation of wide-band signals
based on time-frequency analysis," IEEE Trans. Oceanic Eng., vol. 24,
no. 1, pp. 116-121, 1999.
[4] R.J. Ulman, and E. Geraniotis, "Wideband TDOA/FDOA processing
using summation of short-time CAF-s," IEEE Trans. Sig. Proc., vol. 47,
no. 12, pp. 3193-3200, 1999.
[5] J.C. Cexus, and A.O. Boudraa, "Link between cross-Wigner distribution
and cross-Teager energy operator," IEE Electronics Lett., vol. 40, pp.
778-780, 2004.
[6] A.O. Boudraa, J.C. Cexus, F. Salzenstein and L. Guillon, "IF estimation
using EMD and nonlinear Teager energy operator," Proc. of First Int.
Symp. Control, Commun. and Sig. Process., Tunisia, pp. 45-48, 2004.
[7] J.F. Kaiser, "Some useful properties of Teager-s energy operators,"
Proc. ICASSP, vol. 3, pp. 149-152, 1993.
[8] P. Maragos, and A. Potamianos, "Higher order differential energy
operators," IEEE Sig. Proc. Lett.., vol. 2, pp. 152-154, 1995.
[9] A. Savitzky, and M.J.E. Golay, "Smoothing and differentiation, of data
by simplified least squares procedures," Analytical chemistry, vol. 36,
pp. 1627-1639, 1964.