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THE EFFECT OF BAND LIMITED INTERPOLATION OF NONUNIFORM SAMPLES ON RECORDS OF ANALOG ACCELEROGRAPHS

Ashok Kumar, S. Basu and Brijesh Chandra

Paper No.: 327

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Vol.: 29

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No.: 4

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December, 1992

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pp. 53-67

Abstract

 

The earthquake records of analog accelerographs which are digitised on semi-automatic digitisers provide uncorrected accelerograms at unequal sample intervals (nonuniform samples). During the processing of such uncorrected accelerograms, most of the researchers usually perform linear interpolation to obtain data at constant sampling interval. However, it is well recognised that linear interpolation introduces frequencies from sero to infinity and the digital data which is always band limited is distorted by linear interpolation in the entire band due to the effect of aliasing. In this paper, an iterative method to recover band limited signal from nonuniform samples is discussed. A sinewave and a set of earthquake records defined at nonuniform samples are recovered at 200 samples per second with the above method. The same sine wave and the earthquake data are also linearly interpolated to get 200 samples per second data and a comparison in frequency domain is done to highlight the limitations of linear interpolation. In the process of this study, several uncorrected accelerograms of past earthquakes are reviewed and their limitations are discussed. In particular, the El Centro accelerogram and the Parkfield accelerogram are studied in detail and comparison of response spectra obtainedthrough linear interpolation and through band limited interpolation is presented.
Keywords: Not Available

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