Maximum likelihood time delay estimation in non-gaussian noise

Peter M. Schultheiss*, Hagit Messer, Gadi Shor

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In a non-Gaussian noise environment, it is theoretically possible to design a delay estimator that performs significantly better than the conventional linear correlator. In this correspondence, we study the maximum likelihood estimator for passive time delay in non-Gaussian noise. We show that the form of the best estimator depends strongly on signal-to-noise ratio (SNR), and the estimator optimal at low SNR can fail catastrophically at high values of SNR. The paper uses simulations to examine this sensitivity problem and proposes an ad hoc instrumentation that is reasonably robust over a wide range of SNR values.

Original languageEnglish
Pages (from-to)2571-2575
Number of pages5
JournalIEEE Transactions on Signal Processing
Issue number10
StatePublished - 1997
Externally publishedYes


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