A. Douglas, MAKING THE MOST OF THE RECORDINGS FROM SHORT-PERIOD SEISMOMETER ARRAYS, Bulletin of the Seismological Society of America, 88(5), 1998, pp. 1155-1170
Several methods have been developed for computing optimum multichannel
filters for use with short-period arrays, but these methods are not w
idely used. The most commonly used method is delay and sum (DS) follow
ed by high-pass filtering. This, however, fails to exploit fully the s
patial-filtering properties of arrays, which if used should reduce the
need for frequency filtering. To compute spatial filters requires the
auto- and cross-correlation of functions of the noise. Here the corre
lation functions are specified using noise models rather than the obse
rved noise in an interval (the fitting interval) preceding signal onse
t. With noise models, it is found that problems of signal distortion a
nd ''supergain'' are avoided, supergain being excessive noise reductio
n in the fitting interval, with little reduction or even amplification
of the noise outside the interval. Using minimum power (MP) filters,
which minimize the noise at the output yet pass signals undistorted, i
t is shown using data from the 20-element array at Eskdalemuir, Scotla
nd, that signal-to-noise improvements of up to 7 can be obtained durin
g periods when noise levels are above average, the improvement with si
mple delay-and-sum processing for the same noise sample being only 1.7
. The use of noise models allows stable and effective wavenumber filte
rs to be rapidly estimated and applied. For those seismograms for whic
h the signal and noise after MP processing have obvious differences in
predominant frequency, it is shown that optimum frequency filters can
sometimes be used to further improve signal-to-noise ratio (S/N) with
out significant loss of bandwidth.