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DEPARTMENT OF ELECTRICAL ENGINEERING AND APPLIED PHYSICS LABORATORY UNIVERSITY OF WASHINGTON, SEATTLE, WASHINGTON 98195
TERRA TECHNOLOGY CORPORATION, 3860 148TH AVENUE N.E., REDMOND, WASHINGTON 98052
Abstract
This paper describes a new recursive digital algorithm for computing the response spectrum from acceleration data. The algorithm digitally implements a single degree of freedom oscillator using a covariance-invariant digital filter. It is shown that this technique will produce an accurate response spectrum from input data that have been sampled at a rate that is as low as three times the oscillator natural frequency, fn. The more common response spectrum digital filter obtained using a bilinear z transformation technique requires a sampling rate of ten times fn. The fact that the algorithm can be used for data with a low sampling rate makes it particularly well suited for real time, multi-frequency calculation of response spectra with a microprocessor system.
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J. L. BECK Comments on "covariance-invariant digital filtering--a better digital processing technique for ground motion studies," by J. E. Ehrenberg and E. N. Hernandez Bulletin of the Seismological Society of America, August 1, 1982; 72(4): 1445 - 1446. [PDF] |
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