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Symmetrical fft technique and its applications to earthquake engineering
Author(s) -
Katukura Hiroshi,
Ohno Susumu,
Izumi Masanori
Publication year - 1989
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290180510
Subject(s) - symmetrization , fast fourier transform , frequency domain , deconvolution , time domain , earthquake engineering , phase (matter) , computer science , domain (mathematical analysis) , algorithm , acoustics , mathematical analysis , structural engineering , mathematics , engineering , physics , quantum mechanics , computer vision
The objective of this paper is to propose an FFT technique symmetrical for time and frequency, in which the symmetrization is done by introducing generating functions. By the symmetrical treatment, it becomes possible to derive several complementary relations in the time and frequency domains. Based on the idea of the symmetrical FFT technique, the phase problem of seismic waves is discussed not only in the frequency domain but also in the time domain. Furthermore, the deconvolution technique to evaluate the minimum‐phase‐shift and all‐pass functions of seismic waves, which is not discussed sufficiently in earthquake engineering, is developed in the two domains. Numerical examples to present these basic ideas are also illustrated in the symmetrical framework.