The newly developed method known as Hilbert-Huang Transform (HHT) is ideal for nonlinear and nonstationary data analysis as it is totally adaptive in nature. This paper will discuss the fundamentals of HHT method which consists of the empirical mode decomposition and Hilbert spectral transform. As a part of analysis, the HHT method is applied on two different data sets in which one is the annua...

In order to supply a gap of current resonance vibration and STFT demodulation method applied to rolling bearing fault feature extraction of city rail vehicle, a fault diagnosis method for rolling bearing is presented, which is based on the integration of improved wavelet packet, frequency energy analysis and Hilbert marginal spectrum. When faults occur in rolling bearing, the energy of the roll...

Inverse Transient Analysis (ITA) is a powerful approach for leak detection of pipelines. When the pipe transient flow is analyzed in frequency domain the ITA is called Inverse Frequency Response Analysis (IFRA). To implement an IFRA for leak detection, a transient state is initiated in the pipe by fast closure of the downstream end valve. Then, the pressure time history at the valve location is...

by the method of weight coefficients and techniques of real analysis, ahardy-hilbert-type inequality with a general homogeneous kernel and a bestpossible constant factor is given. the equivalent forms, the operatorexpressions with the norm, the reverses and some particular examples are alsoconsidered.

by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...

For almost two decades one of the most successful methods of demodulating fringe patterns was based on the Fourier transform implementation of the 1-D Hilbert transform /1/ . Recently, however, a method of fringe analysis based on an isotropic 2-D Hilbert transform has been proposed /2/ . An isotropic Hilbert transform had been previously considered topologically impossible by many researchers....

Any power quality disturbance waveform can be seen as superimposition of various oscillating modes. It becomes necessary to separate different components of single frequency or narrow band of frequencies from a non stationary signal to identify the causes which contribute to power quality disturbances. In this paper a method is proposed to detect and classify voltage sag causes based on Empiric...