THEORETICAL CROSSPOWER AND CROSSCORRELATION BETWEEN SEISMOMETER OUTPUTS.
Advanced array research special rept. no. 5,
TEXAS INSTRUMENTS INC DALLAS SCIENCE SERVICES DIV
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In designing multichannel filters, it is frequently necessary to compute the required signal and noise crosspower or crosscorrelation matrices corresponding to theoretical models in frequency-wavenumber space. This report describes a general technique for accomplishing these computations. The method is applicable to models of the various types of wave propagation, and to the various types of sensors such as vertical or horizontal displacement or strain seismometers located at any depths. The propagating medium is considered to be a horizontally stratified series of homogeneous layers overlying a homogeneous halfspace. The method is illustrated by obtaining results for the special cases of compressional or Rayleigh waves and displacement sensors. Results for Love waves with displacement sensors, and for compressional waves with strain sensors are also presented. These illustrate the flexibility of the technique.