Abstract: This paper proposes empirical mode decomposition
(EMD) together with wavelet transform (WT) based analytic signal
for power quality (PQ) events assessment. EMD decomposes the
complex signals into several intrinsic mode functions (IMF). As
the PQ events are non stationary, instantaneous parameters have
been calculated from these IMFs using analytic signal obtained
form WT. We obtained three parameters from IMFs and then used
KNN classifier for classification of PQ disturbance. We compared
the classification of proposed method for PQ events by obtaining
the features using Hilbert transform (HT) method. The classification
efficiency using WT based analytic method is 97.5% and using HT
based analytic signal is 95.5%.
Abstract: Frequency estimation of a sinusoid in white noise using
maximum entropy power spectral estimation has been shown to be
very sensitive to initial sinusoidal phase. This paper presents use of
wavelet transform to find an analytic signal for frequency estimation
using maximum entropy method (MEM) and compared the results
with frequency estimation using analytic signal by Hilbert transform
method and frequency estimation using real data together with MEM.
The presented method shows the improved estimation precision and
antinoise performance.
Abstract: Tikhonov regularization and reproducing kernels are the
most popular approaches to solve ill-posed problems in computational
mathematics and applications. And the Fourier multiplier operators
are an essential tool to extend some known linear transforms
in Euclidean Fourier analysis, as: Weierstrass transform, Poisson
integral, Hilbert transform, Riesz transforms, Bochner-Riesz mean
operators, partial Fourier integral, Riesz potential, Bessel potential,
etc. Using the theory of reproducing kernels, we construct a simple
and efficient representations for some class of Fourier multiplier
operators Tm on the Paley-Wiener space Hh. In addition, we give
an error estimate formula for the approximation and obtain some
convergence results as the parameters and the independent variables
approaches zero. Furthermore, using numerical quadrature integration
rules to compute single and multiple integrals, we give numerical
examples and we write explicitly the extremal function and the
corresponding Fourier multiplier operators.
Abstract: Analysis of vocal fold vibration is essential for understanding the mechanism of voice production and for improving clinical assessment of voice disorders. This paper presents a Dynamic Time Warping (DTW) based approach to analyze and objectively classify vocal fold vibration patterns. The proposed technique was designed and implemented on a Glottal Area Waveform (GAW) extracted from high-speed laryngeal images by delineating the glottal edges for each image frame. Feature extraction from the GAW was performed using Linear Predictive Coding (LPC). Several types of voice reference templates from simulations of clear, breathy, fry, pressed and hyperfunctional voice productions were used. The patterns of the reference templates were first verified using the analytical signal generated through Hilbert transformation of the GAW. Samples from normal speakers’ voice recordings were then used to evaluate and test the effectiveness of this approach. The classification of the voice patterns using the technique of LPC and DTW gave the accuracy of 81%.
Abstract: This paper proposes a method to vibration analysis in
order to on-line monitoring and predictive maintenance during the
milling process. Adapting envelope method to diagnostics and the
analysis for milling tool materials is an important contribution to the
qualitative and quantitative characterization of milling capacity and a
step by modeling the three-dimensional cutting process. An
experimental protocol was designed and developed for the
acquisition, processing and analyzing three-dimensional signal. The
vibration envelope analysis is proposed to detect the cutting capacity
of the tool with the optimization application of cutting parameters.
The research is focused on Hilbert transform optimization to evaluate
the dynamic behavior of the machine/ tool/workpiece.
Abstract: Single side band modulation is a widespread technique in communication with significant impact on communication technologies such as DSL modems and ATSC TV. Its widespread utilization is due to its bandwidth and power saving characteristics. In this paper, we present a new scheme for SSB signal generation which is cost efficient and enjoys superior characteristics in terms of frequency stability, selectivity, and robustness to noise. In the process, we develop novel Hilbert transform properties.
Abstract: For cognitive radio networks, there is a major
spectrum sensing problem, i.e. dynamic spectrum management. It is
an important issue to sense and identify the spectrum holes in
cognitive radio networks. The first-order derivative scheme is usually
used to detect the edge of the spectrum. In this paper, a novel
spectrum sensing technique for cognitive radio is presented. The
proposed algorithm offers efficient edge detection. Then, simulation
results show the performance of the first-order derivative scheme and
the proposed scheme and depict that the proposed scheme obtains
better performance than does the first-order derivative scheme.