中国物理B ›› 2019, Vol. 28 ›› Issue (9): 90502-090502.doi: 10.1088/1674-1056/ab344a

• GENERAL • 上一篇    下一篇

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)   

  1. College of Electronic Engineering, Heilongjiang University, Harbin 150080, China
  • 收稿日期:2019-02-28 修回日期:2019-06-24 出版日期:2019-09-05 发布日期:2019-09-05
  • 通讯作者: Hong Chen E-mail:chenhongdeepred@163.com
  • 基金资助:

    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).

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)   

  1. College of Electronic Engineering, Heilongjiang University, Harbin 150080, China
  • Received:2019-02-28 Revised:2019-06-24 Online:2019-09-05 Published:2019-09-05
  • Contact: Hong Chen E-mail:chenhongdeepred@163.com
  • Supported by:

    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).

摘要:

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.

关键词: automatic sampling method, characteristic signal, frequency domain, system states

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.

Key words: automatic sampling method, characteristic signal, frequency domain, system states

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
84.30.-r (Electronic circuits) 07.07.Hj (Display and recording equipment, oscilloscopes, TV cameras, etc.)