An iterative filtering method for adaptive signal decomposition based on a PDE model

Series
Applied and Computational Mathematics Seminar
Time
Monday, November 7, 2011 - 2:00pm for 30 minutes
Location
Skiles 006
Speaker
Jingfang Liu – GT Math – http://www.math.gatech.edu/users/jliu74
Organizer
Sung Ha Kang
The empirical mode decomposition (EMD) was a method developed by Huang et al as an alternative approach to the traditional Fourier and wavelet techniques for studying signals. It decomposes signals into finite numbers of components which have well behaved intataneous frequency via Hilbert transform. These components are called intrinstic mode function (IMF). Recently, alternative algorithms for EMD have been developed, such as iterative filtering method or sparse time-frequency representation by optimization. In this talk we present our recent progress on iterative filtering method. We develop a new local filter based on a partial differential equation (PDE) model as well as a new approach to compute the instantaneous frequency, which generate similar or better results than the traditional EMD algorithm.