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On low‐frequency errors of uniformly modulated filtered white‐noise models for ground motions
Author(s) -
Safak Erdal,
Boore David M.
Publication year - 1988
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.4290160307
Subject(s) - white noise , envelope (radar) , noise (video) , acoustics , magnitude (astronomy) , filter (signal processing) , physics , mathematics , engineering , computer science , statistics , telecommunications , electrical engineering , radar , astronomy , artificial intelligence , image (mathematics)
Low‐frequency errors of a commonly used non‐stationary stochastic model (uniformly modulated filtered white‐noise model) for earthquake ground motions are investigated. It is shown both analytically and by numerical simulation that uniformly modulated filter white‐noise‐type models systematically overestimate the spectral response for periods longer than the effective duration of the earthquake, because of the built‐in low‐frequency errors in the model. The errors, which are significant for low‐magnitude short‐duration earthquakes, can be eliminated by using the filtered shot‐noise‐type models (i.e. white noise, modulated by the envelope first, and then filtered).