Hilbert Transform, Envelope, Instantaneous Phase, and Frequency
Published Online: 15 SEP 2009
Copyright © 2009 John Wiley & Sons, Ltd. All rights reserved.
Encyclopedia of Structural Health Monitoring
How to Cite
Feldman, M. 2009. Hilbert Transform, Envelope, Instantaneous Phase, and Frequency. Encyclopedia of Structural Health Monitoring. .
- Published Online: 15 SEP 2009
The application of the Hilbert transform to the signal analysis provides some additional information about amplitude, instantaneous phase, and frequency of vibrations. The Hilbert transform decomposition methods are intended for extracting simple components using the varying instantaneous frequency and amplitude from multicomponent nonstationary signals. The corresponding identification methods directly extract the backbone and damping curve of nonlinear vibration systems. This enables us to solve an inverse identification problem, namely, the problem of estimation of the initial nonlinear static elastic and damping force characteristics.
- Hilbert transform;
- analytic signal;
- instantaneous phase;
- instantaneous frequency;
- empirical mode decomposition;
- Hilbert vibration decomposition;
- nonlinear system identification