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Chin. Phys. B, 2019, Vol. 28(9): 090502    DOI: 10.1088/1674-1056/ab344a
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Characteristic signal extracted from a continuous time signal on the aspect of frequency domain

Zhi-Fan Du(杜志凡), Rui-Hao Zhang(张瑞浩), Hong Chen(陈红)
College of Electronic Engineering, Heilongjiang University, Harbin 150080, China
Abstract  

Extracting characteristic signal from a continuous signal can effectively reduce the difficulty of analyzing the running states of a single-variable nonlinear system. Whether the extracted characteristic signal can accurately reflect the running states of the system is very important. In this paper, a method called automatic sampling method (ASM) for extracting characteristic signals is investigated. The complete definition is described, the effectiveness is proved theoretically, and the general formulas of the extracted characteristic signals are derived for the first time. Furthermore, typical Chua's circuit is used to accomplish a lot of experimental research on the aspect of frequency domain. The experimental results show that ASM is feasible and practical, and can automatically generate a characteristic signal with the change of the original signal.

Keywords:  automatic sampling method      characteristic signal      frequency domain      system states  
Received:  28 February 2019      Revised:  24 June 2019      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  84.30.-r (Electronic circuits)  
  07.07.Hj (Display and recording equipment, oscilloscopes, TV cameras, etc.)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant No. 61471158) and 2018 Heilongjiang University Graduate Innovation Research Project of China (Grant No. YJSCX2018-142HLJU).

Corresponding Authors:  Hong Chen     E-mail:  chenhongdeepred@163.com

Cite this article: 

Zhi-Fan Du(杜志凡), Rui-Hao Zhang(张瑞浩), Hong Chen(陈红) Characteristic signal extracted from a continuous time signal on the aspect of frequency domain 2019 Chin. Phys. B 28 090502

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