Chaotic Signal Analysis and Processing

Fractals ◽  
1995 ◽  
Vol 03 (02) ◽  
pp. 285-296 ◽  
Author(s):  
OTTO E. ROSSLER ◽  
GEORG C. HARTMANN

When a chaotic signal is used to force a switching-type variable which dependent on the momentary magnitude of the chaotic stimulus either shows a damped or an autocatalytic response, a new dynamical phenomenon arises. It is reminiscent of the “flares” observed in astrophysical situations. Several numerical simulations of both continuous and discrete examples are presented. The phenomenon was first observed in the simulation of an Ott-Sommerer-Yorke map. The latter possesses not only a “riddled” basin in phase space but also a nongeneric (unbounded) flare attractor. Unlike riddledness, the flare property persists after the introduction of a growth limiting term. Flares occur readily in realistic continuous systems like abstract reaction systems. Search for the new qualitative behavior in experimental situations may be justified. Its potential uses range from signal analysis to economic modelling. From a mathematical point of view, the existence of an automatic “symbolic-dynamics evaluator” is the most surprising.


Author(s):  
Weihai Sun ◽  
Lemei Han

Machine fault detection has great practical significance. Compared with the detection method that requires external sensors, the detection of machine fault by sound signal does not need to destroy its structure. The current popular audio-based fault detection often needs a lot of learning data and complex learning process, and needs the support of known fault database. The fault detection method based on audio proposed in this paper only needs to ensure that the machine works normally in the first second. Through the correlation coefficient calculation, energy analysis, EMD and other methods to carry out time-frequency analysis of the subsequent collected sound signals, we can detect whether the machine has fault.


2014 ◽  
Vol 1 ◽  
pp. 458-461
Author(s):  
An-Bang Wang ◽  
Tong Zhao ◽  
Hang Xu ◽  
Na Wang ◽  
Yun-Cai Wang

2012 ◽  
Vol 17 (4) ◽  
pp. 319-326 ◽  
Author(s):  
Zbigniew Chaniecki ◽  
Krzysztof Grudzień ◽  
Tomasz Jaworski ◽  
Grzegorz Rybak ◽  
Andrzej Romanowski ◽  
...  

Abstract The paper presents results of the scale-up silo flow investigation in based on accelerometer signal analysis and Wi-Fi transmission, performed in distributed laboratory environment. Prepared, by the authors, a set of 8 accelerometers allows to measure a three-dimensional acceleration vector. The accelerometers were located outside silo, on its perimeter. The accelerometers signal changes allowed to analyze dynamic behavior of solid (vibrations/pulsations) at silo wall during discharging process. These dynamic effects are caused by stick-slip friction between the wall and the granular material. Information about the material pulsations and vibrations is crucial for monitoring the interaction between silo construction and particle during flow. Additionally such spatial position of accelerometers sensor allowed to collect information about nonsymmetrical flow inside silo.


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