| 非线性调频信号激励下非线性系统的最优共振响应 |
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| 引用本文： | 宫涛,杨建华,单振,王志乐,刘后广.非线性调频信号激励下非线性系统的最优共振响应[J].物理学报,2022(5):71-78. |
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| 作者姓名： | 宫涛 杨建华 单振 王志乐 刘后广 |
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| 作者单位： | 中国矿业大学机电工程学院 |
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| 基金项目： | 国家自然科学基金(批准号:12072362);江苏高校优势学科建设工程资助的课题. |
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| 摘 要： | 非线性调频(NLFM)信号在雷达、通信、信号处理中应用广泛,该类信号所激励下的非线性系统响应有着丰富的信息,通过共振来增强NLFM信号具有一定实际意义与价值.本文主要研究了受到不同类型NLFM信号所激励的非线性系统共振现象,提出了实时尺度变换方法来处理高频NLFM信号,克服人为选择造成信号输出响应较差的缺点.同时,提出实时谱放大因子作为共振评价指标,准确评价NLFM信号激励下的系统共振响应,讨论系统参数对系统最优共振响应的影响,参数选择在合理的区间内即可实现最优共振响应,不仅实现信号特征的大幅增强,还保持信号时频特征的连续性.最后,将实时尺度变换方法和固定尺度变换方法进行对比,说明所提方法处理NLFM信号的优越性.
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| 关 键 词： | 系统共振 非线性调频信号 信号增强 实时尺度变换 |
Optimal resonance response of nonlinear system excited by nonlinear frequency modulation signal |
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| Gong Tao,Yang Jian-Hua,Shan Zhen,Wang Zhi-Le,Liu Hou-Guang.Optimal resonance response of nonlinear system excited by nonlinear frequency modulation signal[J].Acta Physica Sinica,2022(5):71-78. |
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| Authors: | Gong Tao Yang Jian-Hua Shan Zhen Wang Zhi-Le Liu Hou-Guang |
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| Affiliation: | (Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment,School of Mechatronic Engineering,China University of Mining and Technology,Xuzhou 221116,China) |
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| Abstract: | Nonlinear frequency modulation(NLFM)signal is widely used in radar,communication and signal processing.The response of nonlinear system excited by this kind of signal has rich information.At the same time,enhancing different types of signals by resonance phenomenon has unique advantages in the field of signal processing.Compared with other signal processing methods,such as empirical mode decomposition,variational mode decomposition,wavelet transform,signal filtering,etc.,this kind of method can not only enhance the signal,but also effectively suppress the interference noise.Therefore,it has certain significance to study the nonlinear system optimal response excited by different NLFM signals and enhance the NLFM signal through resonance phenomenon.In this paper,what is mainly studied is the nonlinear system resonance phenomenon excited by different NLFM signals,which is different from in previous studies.Firstly,a real-time scale transformation method is proposed to process the NLFM signals,and its basic principle is to match different NLFM signals by real-time scale coefficients and system parameters.The signal frequency at each time corresponds to the coefficients with different scales and system parameters,thereby realizing the optimal resonance response at each time.In order to describe the optimal resonance response excited by the NLFM signal more accurately,unlike the traditional spectral amplification factor,the real-time spectral amplification factor is introduced as an evaluation index.Then,the influence of system parameters on the optimal system resonance response is discussed,and the optimal resonance region is obtained,which means that the optimal resonance response can be achieved by selecting the parameters in a reasonable range.This method not only greatly enhances the signal characteristics,but also maintains the continuity of signal time-frequency characteristics.Finally,the real-time scale transformation method is compared with the general scale transformation method,showing the superiority of the proposed method in processing NLFM signal.The method and the results of this paper show some potential in dealing with complex NLFM,which provides a reference for NLFM signal enhancement and detection,and has a certain practical significance in signal enhancement.Furthermore,the relevant influence law of the system optimal response excited by the NLFM signal is given,which has a certain reference value for studying the system dynamic behavior under different signal excitations. |
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| Keywords: | system resonance nonlinear frequency modulation signal signal enhancement real-time scale transformation |
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