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锁相环的瞬态分析是非常重要的,然而到目前为止尚未看到2阶以上数字锁相环瞬态分析的论文。对于锁相环来说,由于取样周期变化从属于输入信号变化,因而除非是稳定状态,否则便不适于使用 Z 变换。笔者提出了用差分方程式的递推法求解和用离散相位平面图来进行瞬态分析的方法。此外,采用此种方法就能求出有关2阶数字锁相环的相位及频率阶跃响应的一般解。其中典型例子之一就是这种方法能适用于 G.Pasternack、R.L.whalin 提出的调频解调用数字锁相环,并用模拟法和实验证实了该分析方法的正确性。笔者提出的瞬态分析法和实验结果完全一致,得到了以往得不到的瞬态响应特性。并且还获得了大振幅工作的数字系统中的捕捉频率。本论文所提供的分析方法同样也适用于频率斜升输入和更高阶环路的分析。
Phase-locked loop transient analysis is very important, but so far have not seen more than two-phase digital phase-locked loop transient analysis papers. For a phase-locked loop, the Z-transform is not suitable for a phase-locked loop unless it is stable due to changes in the sampling period that are dependent on the input signal. The author proposes the method of recursion method using difference equation and transient phase analysis using discrete phase plan. In addition, a general solution to the phase and frequency step response of a 2-order digital phase locked loop can be obtained using this method. One of the typical examples is that this method can be applied to G.Pasternack, R.L.whalin proposed PLL demodulation phase-locked loop and the simulation method and experiments confirmed the correctness of the analysis method. The transient analysis method proposed by the author is completely consistent with the experimental results, and the transient response characteristics not obtained in the past are obtained. And also capture frequencies in digital systems that operate at large amplitudes. The analysis methods provided in this paper also apply to the analysis of frequency ramp inputs and higher order loops.