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/

Transcript of Signal Processing, Image Analysis, Computational Modeling André Khalil Dept of Mathematics Dept of...

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