关于同步器中锁相环的最优传递函数

本文给出了在加性随机噪声干扰下锁相环(PLL)对于非调制正弦波计算相位误差方差的最优闭环传递函数的表达式.这个问题在传统的锁相环理论中已作了广泛的讨论,不过这些讨论都是在平稳噪声干扰下作出的.然而工作在有平稳噪声干扰的脉冲调幅波下的同步器就不能作为平稳过程处理了.本文证明了在这种情况下根据传统PIL理论得到的最优传递函数并非最优,进一步在更带普遍性的噪声干扰下推导出了最优闭环传递函数,使之适用于绝大多数类型同步器。

On Optimum Transfer Function of Phase-Locked Loop in Synchronizers

This paper presents an expression for the optimum closed-looptransfer function of a phase--locked Loop (PLL) which estimates the phase of anunmodulated sinusoid corrupted by an additive random disturbance. This workhas treated in the conventional PLL theory, where the disturbance is astationary noise process. However, for synchronizer operating on a PAM waveform corrupted by stationary noise, the disturbance at the input of thePLL cannot be considered as a stationary process. In this case we show thatthe PLL transfer function which is optimized according to the conventionalPLL theory is far from optimum. The expression derived in this paper isapplicable to most synchronizers.