A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
A semi‐analytic approach to retrieve the unitary impulse response function
10.1002/eqe.631.abs
Two kinds of errors occur in numerically transforming the transfer function (TF) to the unitary impulse response function (UIRF), the truncating error due to ignoring high frequency band contribution, and the discrete error due to numerical integration. The truncating error becomes prevailing if the TF attenuating trend is slow as the frequency approaches infinity. A semi‐analytic approach is presented to alleviate this error. This approach dissects the whole frequency axis symmetrically into three bands, the central band, and two side bands extending to infinity. The contribution from the central band is calculated numerically, while the TF over the side bands is approximated as a simple function with an explicitly known inverse Laplace transform. This approach can overcome the Gibbs oscillation in computing the UIRF for a slowly attenuating TF, as is verified by the numerical examples studied here. Copyright © 2006 John Wiley & Sons, Ltd.
A semi‐analytic approach to retrieve the unitary impulse response function
10.1002/eqe.631.abs
Two kinds of errors occur in numerically transforming the transfer function (TF) to the unitary impulse response function (UIRF), the truncating error due to ignoring high frequency band contribution, and the discrete error due to numerical integration. The truncating error becomes prevailing if the TF attenuating trend is slow as the frequency approaches infinity. A semi‐analytic approach is presented to alleviate this error. This approach dissects the whole frequency axis symmetrically into three bands, the central band, and two side bands extending to infinity. The contribution from the central band is calculated numerically, while the TF over the side bands is approximated as a simple function with an explicitly known inverse Laplace transform. This approach can overcome the Gibbs oscillation in computing the UIRF for a slowly attenuating TF, as is verified by the numerical examples studied here. Copyright © 2006 John Wiley & Sons, Ltd.
A semi‐analytic approach to retrieve the unitary impulse response function
Chen, Kui‐Fu (author) / Zhang, Sen‐Wen (author)
Earthquake Engineering & Structural Dynamics ; 36 ; 429-437
2007-03-01
9 pages
Article (Journal)
Electronic Resource
English
A semi-analytic approach to retrieve the unitary impulse response function
| Online Contents | 2007
| British Library Online Contents | 2007
An impulse response function approach for predicting ground and structure vibrations
| British Library Conference Proceedings | 2001
An Information fusion approach for PALSAR data to retrieve soil moisture
| Online Contents | 2016
An Information fusion approach for PALSAR data to retrieve soil moisture
| Online Contents | 2017