time autocorrelation function
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Author(s):  
А.П. Владимиров ◽  
Н.А. Друкаренко ◽  
К.Е. Мызнов

Using time-averaged speckle images on a sample of 09G2S steel made with two recesses with a radius of 2.5 mm, the plastic deformations occurring in the fatigue crack origin zone are estimated. It is shown that fatigue fracture occurs due to the localization of irreversible processes in a region less than 1 mm in size, the limit value of tensile plastic deformations is of the order of 10-1. As a precursor of destruction it is proposed to use the reduction of the normalized time autocorrelation function of the radiation intensity to negative values.


2019 ◽  
Author(s):  
Kenichiro Sato ◽  
Yu Nagashima ◽  
Tatsuo Mano ◽  
Atsushi Iwata ◽  
Tatsushi Toda

AbstractObjectiveGait movies recorded in daily clinical practice are usually not filmed with specific devices, which prevents neurologists benefitting from leveraging gait analysis technologies. Here we propose a novel unsupervised approach to quantifying gait features and to extract cadence from normal and parkinsonian gait movies recorded with a home video camera by applying OpenPose, a deep learning–based 2D-pose estimator that can obtain joint coordinates from pictures or videos recorded with a monocular camera.MethodsOur proposed method consisted of two distinct phases: obtaining sequential gait features from movies by extracting body joint coordinates with OpenPose; and estimating cadence of periodic gait steps from the sequential gait features using the short-time pitch detection approach.ResultsThe cadence estimation of gait in its coronal plane (frontally viewed gait) as is frequently filmed in the daily clinical setting was successfully conducted in normal gait movies using the short-time autocorrelation function (ST-ACF). In cases of parkinsonian gait with prominent freezing of gait and involuntary oscillations, using ACF-based statistical distance metrics, we quantified the periodicity of each gait sequence; this metric clearly corresponded with the subjects’ baseline disease statuses.ConclusionThe proposed method allows us to analyze gait movies that have been underutilized to date in a completely data-driven manner, and might broaden the range of movies for which gait analyses can be conducted.


2018 ◽  
Vol 185 ◽  
pp. 03008
Author(s):  
Alexandr N. Purtov ◽  
Marina V. Mamonova ◽  
Vladimir V. Prudnikov ◽  
Pavel V. Prudnikov

A Monte Carlo simulation of the non-equilibrium behavior of multilayer magnetic structures consisting of alternating magnetic and nonmagnetic nanolayers is realized. The calculated two-time autocorrelation function for the structure during its evolution starting from high-temperature initial state is analyzed. The analysis reveals aging effects characterized by a slowing down of correlation characteristics in the system with increase of the waiting time. The dependence of aging characteristics on thickness of ferromagnetic films is investigated. It is shown that, in contrast to bulk magnetic systems, the aging effects in magnetic superstructures arise not only at the ferromagnetic ordering temperature Tc in the films but also within a wide temperature range at T ≤ Tc.


2013 ◽  
pp. 15-23
Author(s):  
S. Douis ◽  
M.T. Meftah

The electrons dynamics and the time autocorrelation function Cee(t) for the total electric microfield of the electrons on positive charge impurity embedded in a plasma are considered when the relativistic dynamic of the electrons is taken into account. We have, at first, built the effective potential governing the electrons dynamics. This potential obeys a nonlinear integral equation that we have solved numerically. Regarding the electron broadening of the line in plasma, we have found that when the plasma parameters change, the amplitude of the collision operator changes in the same way as the time integral of Cee(t). The electron-impurity interaction is taken at first time as screened Deutsh interaction and at the second time as Kelbg interaction. Comparisons of all interesting quantities are made with respect to the previous interactions as well as between classical and relativistic dynamics of electrons.


2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Muhammad Imran Akram ◽  
Asrar U. H. Sheikh

This paper presents the statistical properties of the vehicle-to-vehicle Nakagami-Hoyt (Nakagami-q) channel model under non-isotropic condition. The spatial time correlation function (STCF), the power spectral density (PSD), squared time autocorrelation function (SQCF), level crossing rate (LCR), and the average duration of Fade (ADF) of the Nakagami-Hoyt channel have been derived under the assumption that both the transmitter and receiver are nonstationary having nonomnidirectional antennas. A simulator that uses the inverse-fast-fourier-transform- (IFFT-) based computation method is designed for this model. The simulator and analytical results are compared.


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