Computer Measurement and Control 1671-4598 2024 32 6 51 57 article Design of railway track frequency shift signal measurement system based on Duffing oscillator 鐵路軌道作為移頻信號的傳輸載體,其對于信號對象傳輸軌跡疏密度的辨別能力,決定了軌道體系對移頻信號的測量準確性。為實(shí)現對信號對象傳輸頻率的準確辨別,設計基于Duffing振子的鐵路軌道移頻信號測量系統。將電源模塊輸出的電量信號,按需分配至STM32F103 微處理器、移頻信號辨別模塊與DSP測量單元之中,完善各級應用部件之間的連接關(guān)系,實(shí)現鐵路軌道移頻信號測量系統的硬件方案設計。確定移頻信號的Duffing振子描述條件,針對其定義形式,構造移頻信號的相空間,完成對鐵路軌道移頻信號的提取。求解鐵路軌道的Lyapunov指數,并構建移頻信號的Duffing方程,確定混沌測量參數的取值范圍,實(shí)現對鐵路軌道移頻信號的測量,聯(lián)合各級應用部件,完成基于Duffing振子的鐵路軌道移頻信號測量系統設計。實(shí)驗結果表明,上述系統測量所得信號傳輸軌跡疏密度與真實(shí)軌跡疏密度相似度較高,能夠實(shí)現對鐵路軌道移頻信號的準確測量。 The railway track, as the transmission carrier of frequency shift signals, its ability to distinguish the density of signal object transmission trajectories determines the accuracy of the track system in measuring frequency shift signals. To achieve accurate identification of the transmission frequency of signal objects, a railway track frequency shift signal measurement system based on Duffing oscillator is designed. Distribute the power signal output by the power module to the STM32F103 microprocessor, frequency shift signal identification module, and DSP measurement unit as needed, improve the connection relationship between various application components, and achieve the hardware design of the railway track frequency shift signal measurement system. Determine the Duffing oscillator description condition of the frequency shift signal, construct the phase space of the frequency shift signal according to its definition form, and complete the extraction of the railway track frequency shift signal. Solve the Lyapunov exponent of railway tracks, construct the Duffing equation for frequency shift signals, determine the range of chaotic measurement parameters, achieve the measurement of railway track frequency shift signals, and combine various application components to complete the design of a railway track frequency shift signal measurement system based on Duffing oscillators. The experimental results show that the signal transmission track density measured by the above system has a high similarity with the real track density, and can achieve accurate measurement of Railway track frequency shift signals. Duffing振子;鐵路軌道;移頻信號;微處理器;信號相空間;Lyapunov指數;混沌參數;Duffing方程; Duffing oscillator; Railway tracks; Frequency shift signal; microprocessor; Signal phase space; Lyapunov exponent; Chaos parameters; Duffing equation; 張玉霞 jsjclykz/article/abstract/202306250726