Gesture recognition using auto-regressive coefficients of higher-order local auto-correlation features

Author(s):  
T. Ishihara ◽  
N. Otsu
2020 ◽  
Vol 62 (6) ◽  
pp. 1494-1507
Author(s):  
Roberto Benedetti ◽  
Thomas Suesse ◽  
Federica Piersimoni

2011 ◽  
Author(s):  
Shimon Maeda ◽  
Tetsuaki Matsunawa ◽  
Ryuji Ogawa ◽  
Hirotaka Ichikawa ◽  
Kazuhiro Takahata ◽  
...  

2021 ◽  
Vol 2137 (1) ◽  
pp. 012032
Author(s):  
Xisen Wang

Abstract This paper describes the intrinsic qualities of a simple double pendulum (DP), with a visual representation, a rigorous deduction of the Lagrangian equation, and a concrete factor analysis. LSTM model was utilized to simulate the double pendulum’s periodic and chaotic behaviors and evaluates the effectiveness of the model. The auto-correlation coefficients was calculated. Meanwhile, Box-Pierce test and Ljung-Box tests for various state-dependent time series were conducted to give various initial conditions to explore the DP system’s random characteristics. The research results are as follows: 1) Chaos did not lead to direct randomness; 2) seasonality could coexist with chaos; 3) the highly auto-regressive nature of DP’s time series data are found. Therefore, it can be concluded that the chaos in a double pendulum has particular patterns (such as the positive relationship with the likelihood of being a random white noise series) that could be further explored.


Author(s):  
P. Moreno Zarate ◽  
Alexandre S. Shcherbakov ◽  
Svetlana Mansurova

Here we examine a new application of the adaptive detectors based on non-steady-state photo-electro-motive force effect for the detection of higher order  correlation functions, aiming the estimation of the parameters of ultra short optical pulses arranged in high-repetition trains. For this purpose three beam interferometer scheme with two signal beams modulated at different frequencies is proposed. Theoretical analysis of non-steady-state photo-EMF current generated by light distribution formed by superposition of three waves is performed and the possibility to detect simultaneously second and higher order correlation  function is demonstrated.  Potential advantages and disadvantages of such detection scheme for measuring the higher order auto-correlations functions are discussed.


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