Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published July 1993 | public
Journal Article

Linear System Response by DFT: Analysis of a Recent Modified Method


An analysis of a recent modified frequency-domain procedure for computing the response of linear systems using the fast Fourier transform (FFT) algorithm is described. This modified procedure eliminates the appended free-vibration interval that is used in the standard approach. The duration of the period of computation still needs to be longer than that of the response interval of interest, but only slightly. Reducing the period of computation lowers the number of frequencies at which the transfer function needs to be defined. The major drawback of the method is a high sensitivity to errors in the computed values of the transfer function, which reduces the role of interpolation in the transfer function definition. The modified method is related to the discrete Laplace transform.

Additional Information

Copyright © 1993 John Wiley & Sons. Manuscript Revised: 17 NOV 1992; Manuscript Received: 24 MAR 1992. The authors thank E. Kausel, J. L. Humar and B. Weber for pre-publication copies of their papers. E. Kausel made valuable comments including the sensitivity problem with interpolation error.

Additional details

August 20, 2023
October 18, 2023