三角形取样鉴相数字合成器锁相环中的混沌

研究三角形取样鉴相数字合成器锁相环中的混沌现象。其方法是先对三角形取样鉴相数字合成器锁相环系统作离散化处理，得到相应的离散化系统模型；系统中的环路滤波器采用RC积分滤波器, 鉴相器采用三角形鉴相特性；通过验证离散化系统相应的低维系统存在快返反射点，证明了当系统方程满足一定条件时，原系统有混沌输出。最后导出了混沌与系统参数间的关系式。Chaos phenomenon of sampling phase-detector digital synthesizer loop is studied. First, the systems of sampling phase-detector digital synthesizer loop is discretization handled and the discretization systems model is given. In this systems, loop filter is RC integral filter and phase-detector is triangle phase-detector characteristic. By verifing the corresponding lower dimension system of discretization systems has the Snapnack Repeller, it is proof that original system output chaos when certain conditions of system parameters are satisfied. The relation between chaos and the parameter of the system is given finally.