Recent applications of bandpass filtering Page: 7 of 15
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Recent Applications of Bandpass Filtering
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The displacement source functions used in the test results shown in the following figures are the unit
impulse responses of Butterworth low-pass filters of orders 1, 2, 3, and 4, respectively. The corner
frequency in all cases is 2.24 Hz and was chosen to be logarithmically half way between the lowest and
the highest of the sampled frequencies. The velocity and acceleration functions were created simply by
differentiating once and twice, respectively. In each of the figures, the displacement and velocity
spectra are plotted on the left-hand side of the page, and the acceleration and the errors associated
with all three are plotted on the right-hand side. The error is shown as the ratio of the estimated to
Figures 1.1 through 2.4 show the results obtained from one-octave bandpass filters. In Figures 1.1
through 1.4, the results of assigning the scaled-RMS values to the low-cut frequency of the bandpass
filter are shown, and the improvements that result from assigning the scaled RMS values to the center
of the bandpass are demonstrated in Figures 2.1 through 2.4.
The results of applying a set of comb filters are shown in Figures 3.1 through 3.4, and the results from a
Gaussian filter are shown in Figures 4.1 through 4.4.
M. D. Denny
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Denny, M D. Recent applications of bandpass filtering, report, March 15, 1999; California. (https://digital.library.unt.edu/ark:/67531/metadc784805/m1/7/: accessed May 23, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.