Unlock Characteristics of the Optimum Type II Phase-Locked Loop
Unlock Characteristics of the Optimum Type II Phase-Locked Loop
复制标题
最佳 II 型锁相环的解锁特性
DOI：
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发表时间：
1964
期刊：
影响因子：
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通讯作者：
J. Rowbotham
中科院分区：
文献类型：
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作者：
R. Sanneman;J. Rowbotham
本文介绍了考虑鉴相器非线性的常用最优II型锁相环的统计解锁特性的研究。通过在数字计算机上使用随机噪声输入模拟环路来研究解锁行为。环路解锁的标准是使用环路的相图来演化的，并且由环路误差的分形交叉和环路错误率的测量组成。对初始相位误差、初始频率误差和输入噪声幅度的多个组合中的每一个进行了大约 100 次统计独立试验。从这些计算机运行中，获得并呈现了解锁时间的累积频率分布和平均解锁时间曲线。论文中还包含了包含时间信息的环路相图，以及大初始频率偏移的捕获特性图。
This paper describes a study of the statistical unlock characteristics of the commonly used optimum type II phase-locked loop taking into account the nonlinearity of the phase detector. The unlock behavior is investigated by simulating the loop with random noise inputs on a digital computer. A criterion of loop unlock is evolved using the phase portrait of the loop and consists of crossing of separatrices by loop error and a measure of loop error rate. Approximately 100 statistically independent trials were made for each of a number of combinations of initial phase error, initial frequency error, and input noise amplitude. From these computer runs, cumulative frequency distributions of unlock time and curves of mean time to unlock were obtained and are presented. The phase portrait of the loop containing time information also is included in the paper, along with a plot of capture characteristics for large initial frequency offsets.