scholarly journals Hierarchical Extraction Methods for Higher Order Correlation Information among Sound, Light and Electromagnetic Waves in a VDT Periphery Environment and Mutual Prediction of Each Fluctuation Probability Distribution

2000 ◽  
Vol 2000 (0) ◽  
pp. 151-156
Author(s):  
Hitoshi Ogawa ◽  
Mitsuo Ohta
Keyword(s):  
Probability Distribution ◽  
Electromagnetic Waves ◽  
Extraction Methods ◽  
Higher Order ◽  
Correlation Information

scholarly journals Statistical Signal Processing by Using the Higher-Order Correlation between Sound and Vibration and Its Application to Fault Detection of Rotational Machine

2008 ◽  
Vol 2008 ◽  
pp. 1-7 ◽  
Author(s):  
Hisako Masuike ◽  
Akira Ikuta
Keyword(s):  
Signal Processing ◽  
Probability Distribution ◽  
Time Domain ◽  
Statistical Signal Processing ◽  
Higher Order ◽  
Orthogonal Expansion ◽  
Mutual Relationship ◽  
Diagnosis Method ◽  
Correlation Information ◽  
Multidimensional Probability

In this study, a stochastic diagnosis method based on the changing information of not only a linear correlation but also a higher-order nonlinear correlation is proposed in a form suitable for online signal processing in time domain by using a personal computer, especially in order to find minutely the mutual relationship between sound and vibration emitted from rotational machines. More specifically, a conditional probability hierarchically reflecting various types of correlation information is theoretically derived by introducing an expression on the multidimensional probability distribution in orthogonal expansion series form. The effectiveness of the proposed theory is experimentally confirmed by applying it to the observed data emitted from a rotational machine driven by an electric motor.

scholarly journals Electromagnetic Waves Through Disordered Systems: Comparison of Intensity, Transmission and Conductance

2001 ◽  
Vol 694 ◽  
Author(s):  
Fredy R Zypman ◽  
Gabriel Cwilich
Keyword(s):  
Probability Distribution ◽  
Disordered Systems ◽  
Electromagnetic Waves ◽  
Delta Function ◽  
Rayleigh Distribution ◽  
Dirac Delta Function ◽  
Universal Form ◽  
Dirac Delta ◽  
Diffusive Regime ◽  
Analytical Expressions

AbstractWe obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities x, follow a universal form, YU(x) = xne−xμ. This family of functions includes the Rayleigh distribution (when α=0, μ=1) and the Dirac delta function (α →+ ∞), which are the expressions for intensity and transmission in the diffusive regime neglecting correlations. Finally, we find simple analytical expressions for the nth moment of the distributions and for to the ratio of the moments of the intensity and transmission, which generalizes the n! result valid in the previous case.

scholarly journals Coherently Driven and Superdirective Antennas

Electronics ◽  
2019 ◽  
Vol 8 (8) ◽  
pp. 845 ◽  
Author(s):  
Alex Krasnok
Keyword(s):  
Dielectric Resonator ◽  
Electromagnetic Waves ◽  
Wireless Power Transfer ◽  
Higher Order ◽  
Power Transfer ◽  
Wireless Power ◽  
Entire Spectrum ◽  
Guided Mode ◽  
Dielectric Antennas ◽  
Antenna Systems

Antennas are crucial elements for wireless technologies, communications and power transfer across the entire spectrum of electromagnetic waves, including radio, microwaves, THz and optics. In this paper, we review our recent achievements in two promising areas: coherently enhanced wireless power transfer (WPT) and superdirective dielectric antennas. We show that the concept of coherently enhanced WPT allows improvement of the antenna receiving efficiency by coherent excitation of the outcoupling waveguide with a backward propagating guided mode with a specific amplitude and phase. Antennas with the superdirectivity effect can increase the WPT system’s performance in another way, through tailoring of radiation diagram via engineering antenna multipoles excitation and interference of their radiation. We demonstrate a way to achieve the superdirectivity effect via higher-order multipoles excitation in a subwavelength high-index spherical dielectric resonator supporting electric and magnetic Mie multipoles. Thus, both types of antenna discussed here possess a coherent nature and can be used in modern intelligent antenna systems.

PATHS IN THE SIMPLE RANDOM GRAPH AND THE WAXMAN GRAPH

2001 ◽  
Vol 15 (4) ◽  
pp. 535-555 ◽  
Author(s):  
Piet Van Mieghem
Keyword(s):  
Probability Distribution ◽  
Random Graph ◽  
Higher Order ◽  
Higher Order Moments ◽  
Communications Networks ◽  
Poisson Law ◽  
Link Density

The Waxman graphs are frequently chosen in simulations as topologies resembling communications networks. For the Waxman graphs, we present analytic, exact expressions for the link density (average number of links) and the average number of paths between two nodes. These results show the similarity of Waxman graphs to the simpler class G>p(N). The first result enables one to compare simulations performed on the Waxman graph with those on other graphs with same link density. The average number of paths in Waxman graphs can be useful to dimension (or estimate) routing paths in networks. Although higher-order moments of the number of paths in Gp(N) are difficult to compute analytically, the probability distribution of the hopcount of a path between two arbitrary nodes seems well approximated by a Poisson law.

Synchronous Firing and Higher-Order Interactions in Neuron Pool

2003 ◽  
Vol 15 (1) ◽  
pp. 127-142 ◽  
Author(s):  
Shun-ichi Amari ◽  
Hiroyuki Nakahara ◽  
Si Wu ◽  
Yutaka Sakai
Keyword(s):  
Probability Distribution ◽  
Mean Value ◽  
Higher Order ◽  
Point Of View ◽  
Widespread Distribution ◽  
Pairwise Interactions ◽  
Synchronous Firing ◽  
Large Numbers ◽  
Two Peaks ◽  
Neuron Pool

The stochastic mechanism of synchronous firing in a population of neurons is studied from the point of view of information geometry. Higher-order interactions of neurons, which cannot be reduced to pairwise correlations, are proved to exist in synchronous firing. In a neuron pool where each neuron fires stochastically, the probability distribution q(r) of the activity r, which is the fraction of firing neurons in the pool, is studied. When q(r) has a widespread distribution, in particular, when q(r) has two peaks, the neurons fire synchronously at one time and are quiescent at other times. The mechanism of generating such a probability distribution is interesting because the activity r is concentrated on its mean value when each neuron fires independently, because of the law of large numbers. Even when pairwise interactions, or third-order interactions, exist, the concentration is not resolved. This shows that higher-order interactions are necessary to generate widespread activity distributions. We analyze a simple model in which neurons receive common overlapping inputs and prove that such a model can have a widespread distribution of activity, generating higher-order stochastic interactions.

Sign in / Sign up

Export Citation Format

Share Document