Computing Instantaneous Frequency by normalizing Hilbert Transform
Patent
·
OSTI ID:1175374
This invention presents Normalized Amplitude Hilbert Transform (NAHT) and Normalized Hilbert Transform(NHT), both of which are new methods for computing Instantaneous Frequency. This method is designed specifically to circumvent the limitation set by the Bedorsian and Nuttal Theorems, and to provide a sharp local measure of error when the quadrature and the Hilbert Transform do not agree. Motivation for this method is that straightforward application of the Hilbert Transform followed by taking the derivative of the phase-angle as the Instantaneous Frequency (IF) leads to a common mistake made up to this date. In order to make the Hilbert Transform method work, the data has to obey certain restrictions.
- Research Organization:
- United States Of America, National Aeronautics And Space Administration, Washington, DC (United States)
- Sponsoring Organization:
- USDOE
- Assignee:
- The United States of America as represented by the Administrator of the National Aeronautics and Space Administration (Washington, DC)
- Patent Number(s):
- 6,901,353
- Application Number:
- 10/615,365
- OSTI ID:
- 1175374
- Country of Publication:
- United States
- Language:
- English
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
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journal | March 1998 |
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