A new method for estimating the parameters describing properties such as the amplitude or velocity of a signal passing across an array of sensors is presented for the case where the signal is a transient plane wave. An appropriate setting for an analysis of the asymptotic properties of the estimates is developed and strong convergence and a central limit theorem are proved. An application to seismological data and some simulations are presented to demonstrate the efficacy of the procedure and the adequacy of the asymptotic theory for finite samples.
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Cameron et al. (1979) studied this question.