Computing Instantaneous Frequency by normalizing Hilbert...

Details Computing Instantaneous Frequency by normalizing Hilbert... Computing Instantaneous Frequency by normalizing Hilbert...

2005-05-31

2005-05-31

Hoff, Marc S. (Department: 2857)

Data processing: measuring, calibrating, or testing

Measurement system

Measured signal processing

C702S067000, C702S104000, C702S179000

Reexamination Certificate

active

06901353

ABSTRACT:
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.

REFERENCES:
patent: 5750024 (1998-05-01), Spearman
patent: 5916435 (1999-06-01), Spearman et al.
patent: 5983162 (1999-11-01), Huang
patent: 6311130 (2001-10-01), Huang
patent: 6381559 (2002-04-01), Huang
patent: 6507798 (2003-01-01), Salvino et al.
patent: 6631325 (2003-10-01), Huang et al.
patent: 6782124 (2004-08-01), Gloersen
Norden Huang, The empirical decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proc. of The Royal Society, pp903-995.

Affiliated with

Also associated with

Rating

Computing Instantaneous Frequency by normalizing Hilbert... does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Computing Instantaneous Frequency by normalizing Hilbert..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computing Instantaneous Frequency by normalizing Hilbert... will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFUS-PAI-O-3387342