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:

 
-10.539;-5.787+i7.407;-5.787-i7.407

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

 
-22.21+i22.21;-22.21-i22.21;-0.06283;-29.62+i29.62;-29.62-i29.62;

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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