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Self-tuned LMS Algorithm for Sinusoidal Time Delay Tracking

Authors: Jonah Gamba

Abstract:

In this paper the problem of estimating the time delay between two spatially separated noisy sinusoidal signals by system identification modeling is addressed. The system is assumed to be perturbed by both input and output additive white Gaussian noise. The presence of input noise introduces bias in the time delay estimates. Normally the solution requires a priori knowledge of the input-output noise variance ratio. We utilize the cascade of a self-tuned filter with the time delay estimator, thus making the delay estimates robust to input noise. Simulation results are presented to confirm the superiority of the proposed approach at low input signal-to-noise ratios.

Keywords: LMS algorithm, Self-tuned filter, Systemidentification, Time delay estimation, .

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062876

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References:


[1] G.C. Carter, "Time delay estimation for passive sonar signal processing," IEEE Trans. ASSP, vol.ASSP-29, no.3, pp.463--470, 1981.
[2] P.L. Feintuch, N.J. Bershad and F.A. Reed, "Time delay estimation using LMS algorithm-dynamic behavior," IEEE Trans. ASSP, vol.ASSP-29, no.3, pp.571--576, 1981.
[3] F.A. Reed, P.L. Feintuch and N.J. Bershad, "Time delay estimation using LMS algorithm-static behavior," IEEE Trans. ASSP, vol.ASSP-29, no.3, pp.561--571, 1981.
[4] R.E. Ziemer and W.H. Trenter, Principles of Communications: Systems Modulation and Noise, Wiley, NY, 2002.
[5] H.C. So, "Noisy input-output system identification approach for time delay estimation," Signal Processing, vol.82, no.10, pp.1471--1475, 2002.
[6] J. Gamba and T. Shimamura, "Sinusoidal time delay tracking by a self-tuned LMS filter with interpolation based system response coefficient ratios," presented at the 2005 IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing, Sapporo Convention Center, Sapporo, Japan, May 18--20, 2005.
[7] B. Widrow et al., "Adaptive noise canceling: Principles and applications," Proc. IEEE, vol.63, pp.1692--1716, 1975.
[8] Y.T. Chan, J.M. Riley and J.B. Plant, "Modeling time delay and its application to nonstationary delays," IEEE Trans. ASSP, vol.ASSP-29, no.4, pp.577--581, 1981.
[9] J.T. Ricard and J.R. Zeidler, "Second-order output statistics of the adaptive line enhancer," IEEE Trans. ASSP, vol.ASSP-27, no.1, pp.31--39, 1979.
[10] S. Haykin, Adaptive Filter Theory, Prentice-Hall, Englewood Cliffs, NJ, 2002.