The Annals of Statistics

Statistical Estimation of the Parameters of a Moving Source from Array Data

Shean-Tsong Chiu

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This paper is concerned with the problem of estimating the variable time delays of a signal arriving at an array of sensors. A procedure to estimate the parameters of a linear time delay model is proposed. The procedure compares the Fourier transforms at different frequencies (thereby taking the Doppler effect into consideration). Under regularity conditions, the estimate obtained is shown to be consistent and asymptotically normal. Simulations were carried out and the results were found to agree well with the theoretical results. The procedure was applied to the records of the Imperial Valley earthquake of October 15, 1979, as recorded by the El Centro differential array.

Article information

Ann. Statist., Volume 14, Number 2 (1986), 559-578.

First available in Project Euclid: 12 April 2007

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Primary: 62M99: None of the above, but in this section
Secondary: 60G35: Signal detection and filtering [See also 62M20, 93E10, 93E11, 94Axx]

Time delay Fourier transform periodogram spectrum coherence Doppler effect


Chiu, Shean-Tsong. Statistical Estimation of the Parameters of a Moving Source from Array Data. Ann. Statist. 14 (1986), no. 2, 559--578. doi:10.1214/aos/1176349938.

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