Open Access
June, 1986 Statistical Estimation of the Parameters of a Moving Source from Array Data
Shean-Tsong Chiu
Ann. Statist. 14(2): 559-578 (June, 1986). DOI: 10.1214/aos/1176349938

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.

Citation

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Shean-Tsong Chiu. "Statistical Estimation of the Parameters of a Moving Source from Array Data." Ann. Statist. 14 (2) 559 - 578, June, 1986. https://doi.org/10.1214/aos/1176349938

Information

Published: June, 1986
First available in Project Euclid: 12 April 2007

zbMATH: 0604.62095
MathSciNet: MR840514
Digital Object Identifier: 10.1214/aos/1176349938

Subjects:
Primary: 62M99
Secondary: 60G35

Keywords: Coherence , Doppler effect , Fourier transform , periodogram , spectrum , time delay

Rights: Copyright © 1986 Institute of Mathematical Statistics

Vol.14 • No. 2 • June, 1986
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