Passive time delay estimation in non-Gaussian noise

Hagit Messer, Gadi Shor, Peter M. Schultheiss

Research output: Contribution to journalArticlepeer-review


This correspondence 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 (SNR's), 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.

Original languageEnglish
Pages (from-to)2531-2534
Number of pages4
JournalIEEE Transactions on Signal Processing
Issue number9
StatePublished - 1999
Externally publishedYes


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