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Passive time delay estimation in non-Gaussian noise

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3 Author(s)
Messer, H. ; Dept. of Electr. Eng. Syst., Tel Aviv Univ., Israel ; Gadi Shor ; Schultheiss, P.M.

This article deals with the structure of the maximum-likelihood (ML) estimator for time delay with arbitrary signal and noise statistics. At high signal-to-noise ratios (SNRs), the ML estimation performs a nonlinear operation on the delayed difference of the two received waveshapes. The required nonlinearity depends only on the noise statistics. At low SNR, a closed-form simple expression for the ML, which depends only on the noise statistics and on the second-order statistics of the signal, is provided. With statistically independent noise processes, the estimator correlates two vectors generated by separate nonlinear operations on the two received waveshapes

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Signal Processing, IEEE Transactions on  (Volume:47 ,  Issue: 9 )