This paper makes a detailed analysis regarding the definition of the intrinsic mode function and proves that Condition 1 of the intrinsic mode function can really be deduced from Condition 2. Finally, an improved definition of the intrinsic mode function is given. Keywords—Empirical Mode Decomposition (EMD), HilbertHuang transform(HHT), Intrinsic Mode Function(IMF).

An automatic sleep staging method is proposed to score wakefulness and three nonrapid eye movement (NREM) stages S1, S2 and S3, based on the Empirical Mode Decomposition (EMD) algorithm. Patients with sleep disorders were tested using this method. Good agreements between manual and automatic staging results were achieved in terms of their Cohen's Kappa value.

Wigner-Ville Distribution (WVD) possesses high time-frequency concentration and resolutions, but brings serious cross-terms in process of a multi-component signal to distort greatly the result of timefrequency analysis. Because of this the use of the WVD is limited for many applications. In this paper a combined method is proposed: Empirical Mode Decomposition (EMD) is first used to decompose t...

In this study, a new speckle reduction method was proposed in terms of by Bidimensional Empirical Mode Decomposition (BEMD). In this method, the SAR image containing speckle noise was decomposed into a number of elementary components by using BEMD and then the extremal points are done the boundary equivalent extension after screening and the residual continue to be done the boundary equivalent ...

Depth of anaesthesia (DoA) is an important measure for assessing the degree to which the central nervous system of a patient is depressed by a general anaesthetic agent, depending on the potency and concentration with which anaesthesia is administered during surgery. We can monitor the DoA by observing the patient’s electroencephalography (EEG) signals during the surgical procedure. Typically h...

Wireless sensor networks are extensively utilized as a communication mechanism in the field of Internet Things (IoT). Along with these services, numerous IoT based applications need stabilized transmission or delivery over unbalanced wireless connections. To ensure stability data packets delivery, prevailing works exploit diverse geographical routing multi-hop forwarders WSNs. Furthermore, crit...

The electroencephalogram (EEG) is an invaluable measurement for the purpose of assessing brain activities. The detection of epileptic seizures based on EEG signal is very useful in diagnostics. In this paper, we present a new method for discrimination between seizure and seizure-free EEG signals. The proposed method is based on empirical mode decomposition (EMD) process. We investigated that th...

KOSEKI J. KOBAYASHI-KIRSCHVINK∗, KING-FAI LI†,‡,§, RUN-LIE SHIA† and YUK L. YUNG† ∗Department of Mathematical Engineering and Information Physics The University of Tokyo, Tokyo 113-0033, Japan †Division of Geological and Planetary Sciences California Institute of Technology, Pasadena, California 91125, USA ‡Atomic and Molecular Physics Laboratories Research School of Physics and Engineering Aus...