Mathematics – Numerical Analysis
Scientific paper
2010-06-13
SIAM Journal on Mathematical Analysis 43(5):2078-2095, 2011
Mathematics
Numerical Analysis
19 pages, 9 figures
Scientific paper
10.1137/100798818
We propose a new approach for studying the notion of the instantaneous frequency of a signal. We build on ideas from the Synchrosqueezing theory of Daubechies, Lu and Wu and consider a variant of Synchrosqueezing, based on the short-time Fourier transform, to precisely define the instantaneous frequencies of a multi-component AM-FM signal. We describe an algorithm to recover these instantaneous frequencies from the uniform or nonuniform samples of the signal and show that our method is robust to noise. We also consider an alternative approach based on the conventional, Hilbert transform-based notion of instantaneous frequency to compare to our new method. We use these methods on several test cases and apply our results to a signal analysis problem in electrocardiography.
Thakur Gaurav
Wu Hau-Tieng
No associations
LandOfFree
Synchrosqueezing-based Recovery of Instantaneous Frequency from Nonuniform Samples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Synchrosqueezing-based Recovery of Instantaneous Frequency from Nonuniform Samples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Synchrosqueezing-based Recovery of Instantaneous Frequency from Nonuniform Samples will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-626036