The Annals of Statistics

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

Shean-Tsong Chiu

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Abstract

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

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

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176349938

Digital Object Identifier
doi:10.1214/aos/1176349938

Mathematical Reviews number (MathSciNet)
MR840514

Zentralblatt MATH identifier
0604.62095

JSTOR
links.jstor.org

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

Keywords
Time delay Fourier transform periodogram spectrum coherence Doppler effect

Citation

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. https://projecteuclid.org/euclid.aos/1176349938


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