The synchrosqueezed transform was proposed recently in [Daubechies et al. (2009)] as an alternative to the empirical mode decomposition (EMD) [Huang et al. (1998)], to decompose composite signals into a sum of “modes” that each have well-defined instantaneous frequencies. This paper presents, for synchrosqueezing, a study similar to that in [Rilling and Flandrin (2008)] for EMD, of how two sign...

This paper presents a new interest local regions descriptors method based on Hilbert-Huang Transform. The neighborhood of the interest local region is decomposed adaptively into oscillatory components called intrinsic mode functions (IMFs). Then the Hilbert transform is applied to each component and get the phase and amplitude information. The proposed descriptors samples the phase angles infor...

Suppose that we have a set of numbers x1, . . . , xn which have nonnegative sum. How many subsets of k numbers from {x1, . . . , xn} must have nonnegative sum? Manickam, Miklós, and Singhi conjectured that for n ≥ 4k the answer is ( n−1 k−1 ) . This conjecture is known to hold when n is large compared to k. The best known bounds are due to Alon, Huang, and Sudakov who proved the conjecture when...

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Identifying key elements of the ECG signal in modern day's diagnostic devices is crucial. Making a preliminary assessment of a patient during emergency situations, i.e. before arriving to the hospital, is starting to be a generally accepted practice in more and more countries. This article proposes a possible method of differentiating the T-wave from other features of the ECG signal based on th...

1Department of Civil and Environmental Engineering, University of Delaware, Newark, DE 19716, USA 2Department of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USA 3Departments of Mathematics and Statistics and Molecular Physiology Biophysics, The University of Vermont, Burlington, VT 05405, USA 4Civil Engineering Specialty, Division of Engineering, Colorado Scho...