基于混沌理论的微弱信号放大原理与方法研究

本文首先根据混沌理论的基本特征,特别是混沌运动对于初值的敏感依赖性和初值与混沌轨道之间一一对应的理论基础,建立了帐篷映射的非线性放大模型,研究了帐篷映射可实现非线性放大的具体特征以及输入与输出的二进制对应关系;然后分别对正弦信号和带有噪声的正弦信号进行了非线性放大的数值仿真和电路模拟试验,并与线性放大结果进行了对比分析和优缺点讨论,验证了微弱信号非线性放大的优越性.

Research on weak signal amplification principle and method based on chaos theory

In this paper, firstly according to the basic characteristics of chaos theory, we establish the nonlinear enlarge model about tent map, especially the initial-value sensitive dependence and one-to-one correspondence between chaotic orbit and the initial value. Secondly, we study the concrete characteristics with which the tent mapping system can realize nonlinear amplification. And the binary relationship between input and output is analyzed. Then we make numerical and circuit simulations of nonlinear amplification of the sine signal and the sine signal with noise. We compare the results of linear amplification and nonlinear amplification by tent mapping. At last, the advantages and disadvantages of the realized situations are discussed. The simulation results proved the superiority of the weak signal nonlinear amplification method.