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Bulletin of the Seismological Society of America; February 1979; v. 69; no. 1; p. 271-288
© 1979 Seismological Society of America
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Seismic system calibration: 2. Cross-spectral calibration using random binary signals

JON BERGER, DUNCAN CARR AGNEW, ROBERT L. PARKER and WILLIAM E. FARRELL*

INSTITUTE OF GEOPHYSICS AND PLANETARY PHYSICS SCRIPPS INSTITUTION AND OCEANOGRAPHY UNIVERSITY OF CALIFORNIA,, SAN DIEGO, LAJOLLA, CALIFORNIA 92093
ENGINEERING GEOSCIENCE MATERIALS SCIENCE AND MINERAL ENGINEERING UNIVERSITY OF CALIFORNIA, BERKELEY, CALIFORNIA 94720

Abstract

We present a rapid and accurate method of calibrating seismic systems using a random binary calibration signal and cross-spectral techniques. The complex transfer function obtained from the cross spectrum is least-squares fit to the ratio of two polynomials in s(s = i{omega}) whose degrees are determined by a linear systems analysis. This provides a compact representation of the system frequency response. We demonstrate its application to two seismic systems, the IDA and SRO seismomenters. This method yields calibrations to an accuracy of better than 1 per cent in amplitude and 1° in phase.

Footnotes

* Present address: Systems, Science and Software, P.O. Box 1620, La Jolla, California 92038.




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