The Annals of Statistics
- Ann. Statist.
- Volume 14, Number 2 (1986), 559-578.
Statistical Estimation of the Parameters of a Moving Source from Array Data
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.
Ann. Statist., Volume 14, Number 2 (1986), 559-578.
First available in Project Euclid: 12 April 2007
Permanent link to this document
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]
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