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SIGNAL ESTIMATION USING STOCHASTIC VELOCITY

MODELS AND IRREGULAR ARRAYS

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P. J. THOMSON

*Institute of Statistics and Operations Research, Victoria University of Wellington,*

P.O. Box 600, Wellington, New Zealand
(Received January 17, 1989; revised January 7, 1991)

**Abstract.**
Consider the situation where a plane wave signal is
received
by a spatial arrangement of recorders. Information derived from
observations on such
a process can be used to determine the speed and direction of the signal
together
with properties of the medium through which the signal is being propagated.
Certain
models for the case where the signal velocity can be regarded as stochastic and
where the array is irregular are investigated and estimation procedures
proposed. A
major practical property of these models is that, unlike their deterministic
counterparts, coherence decays to zero as distance between recorders increases.

*Key words and phrases*:
Fourier analysis, array estimation,
velocity
estimation, space-time spectral analysis, random media, random arrays, frequency
wavenumber processing.

**Source**
( TeX ,
DVI ,
PS )