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The transfer function of a short-period vertical seismograph

BELL TELEPHONE LABORATORIES, INCORPORATED,, MURRAY HILL, NEW JERSEY

Abstract

We locate the poles and zeros of the transfer function of a seismograph which consists of the Geotech Model 1051 Benioff vertical seismometer and the Geotech Model 4500 galvanometer-phototube amplifier with a 5 cps galvanometer. A weighted least squares fit to the measured frequency response of the seismometer, assuming a damping ratio of 17 to 1, gives for the pole locations of the seismometer transfer function:

There is a triple zero at the origin. The overall seismograph transfer function has additional poles at

an additional zero at the origin, and a quadruple zero at infinity.

an additional zero at the origin, and a quadruple zero at infinity.

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