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...

The main objective of this study is to propose a motor fault diagnosis model based on machine learning. Compared with the traditional model, proposed can reduce computation time. This be divided into three steps: feature extraction, selection, and classification. In extraction step, original signal extracted by Hilbert-Huang transform (HHT), envelope analysis (EA), variational mode decompositio...

Preterm birth (PTB) is the leading cause of perinatal mortality and long-term morbidity, which results in significant health and economic problems. The early detection of PTB has great significance for its prevention. The electrohysterogram (EHG) related to uterine contraction is a noninvasive, real-time, and automatic novel technology which can be used to detect, diagnose, or predict PTB. This...

T he past decade has brought remarkable advances in the processing of neural signals—that is, neural activity signatures1 such as electroencephalogram (EEG), magnetoencephalography (MEG), electrocorticography (ECoG), magnetic resonance imaging (MRI), and functional MRI (fMRI). Neural signal analysis is vital in detecting, diagnosing, and treating brain disorders and related diseases.2 Neural si...

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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Epilepsy is a significant neurological disease that occurs due to abnormal activities of particular portion brain neurons. Electroencephalography (EEG) signals are mainly used detect this disease. can be diagnosed automatically by measuring and analyzing the non-linearity non-stationary properties EEG signals. In study, Hilbert Huang Transformation (HHT) proposed extract distinctive features fr...