signal processing, image analysis, computational modeling andré khalil dept of mathematics dept of...

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Signal Processing, Image Analysis, Computational Modeling André Khalil Dept of Mathematics Dept of Physics Graduate School of Biomedical Sciences Institute for Molecular Biophysics University of Maine, Orono, ME The Jackson Laboratory, Bar Harbor, ME http://germain.its.maine.edu/ ~khalil/

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Page 1: Signal Processing, Image Analysis, Computational Modeling André Khalil Dept of Mathematics Dept of Physics Graduate School of Biomedical Sciences Institute

Signal Processing, Image Analysis, Computational Modeling

André Khalil Dept of MathematicsDept of PhysicsGraduate School of Biomedical SciencesInstitute for Molecular BiophysicsUniversity of Maine, Orono, METhe Jackson Laboratory, Bar Harbor, MEhttp://germain.its.maine.edu/~khalil/

Page 2: Signal Processing, Image Analysis, Computational Modeling André Khalil Dept of Mathematics Dept of Physics Graduate School of Biomedical Sciences Institute

Signal Processing, Image Analysis, Computational Modeling

Page 3: Signal Processing, Image Analysis, Computational Modeling André Khalil Dept of Mathematics Dept of Physics Graduate School of Biomedical Sciences Institute

Multifractal Analysis of Actigraphy Signals

Wavelet Transform Modulus Maxima (WTMM) Method:

Stationary or non-stationary signals

Fractal or multifractal signals

H = 0.3 anti-correlated

H = 0.5 uncorrelated

H = 0.7 long-range correlated

H = 0.9 long-range correlated

Page 4: Signal Processing, Image Analysis, Computational Modeling André Khalil Dept of Mathematics Dept of Physics Graduate School of Biomedical Sciences Institute

Multifractal Analysis of Actigraphy Signals

Wavelet Transform Modulus Maxima (WTMM) Method:

Stationary or non-stationary signals

Fractal or multifractal signals