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按照可列一阶马尔可夫链方式,建立了一个具体的二阶数字锁相环的模型,并对它进行了分析。从马尔可夫链的转移概率矩阵出发,确定了数字相环(DPLL)的稳态相位误差,用同样的方法计算了输入信号衰落时的瞬态响应。另外,针对一个硬件DPLL进行了测试,与马尔可夫链模型获得的结果进行比较,发现理论预测与实验能很好地吻合。
According to the first order Markov chain method, a specific second-order digital phase-locked loop model is established and analyzed. Starting from the transition probability matrix of Markov chain, the steady-state phase error of the digital phase-locked loop (DPLL) is determined, and the transient response of the input signal is calculated in the same way. In addition, a hardware DPLL was tested and compared with the results obtained from the Markov chain model, and found that the theoretical prediction is in good agreement with the experiment.