基于Duffing振子的铁路轨道移频信号测量系统设计

Design of railway track frequency shift signal measurement system based on Duffing oscillator

摘要:

铁路轨道作为移频信号的传输载体,其对于信号对象传输轨迹疏密度的辨别能力,决定了轨道体系对移频信号的测量准确性。为实现对信号对象传输频率的准确辨别,设计基于Duffing振子的铁路轨道移频信号测量系统。将电源模块输出的电量信号,按需分配至STM32F103 微处理器、移频信号辨别模块与DSP测量单元之中,完善各级应用部件之间的连接关系,实现铁路轨道移频信号测量系统的硬件方案设计。确定移频信号的Duffing振子描述条件,针对其定义形式,构造移频信号的相空间,完成对铁路轨道移频信号的提取。求解铁路轨道的Lyapunov指数,并构建移频信号的Duffing方程,确定混沌测量参数的取值范围,实现对铁路轨道移频信号的测量,联合各级应用部件,完成基于Duffing振子的铁路轨道移频信号测量系统设计。实验结果表明,上述系统测量所得信号传输轨迹疏密度与真实轨迹疏密度相似度较高,能够实现对铁路轨道移频信号的准确测量。

Abstract:

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.