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Stability analysis of Mixed-Signal Phase Locked Loops considering nonlinear and non-ideal effects for an optimized system design

考虑优化系统设计的非线性和非理想效应的混合信号锁相环稳定性分析

基本信息

批准号：
402835556
负责人：
Dr.-Ing. Christian Hangmann
金额：
--
依托单位：
Fachgebiet Sensorik (SEN)
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2018
资助国家：
德国
起止时间：
2017-12-31 至 2019-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/402835556?language=en
关键词：
Stability analysis Mixed Signal Phase

项目摘要

The design of mixed-signal (MS) phase locked loops (PLL) is challenging because of the combination of the digital and analogue domain. An efficient and precise modeling of these systems is necessary, since transistor level simulations are time-consuming and a comprehensive characterization of the dynamic behavior is not easily possible. However, this characterization is necessary when targeting an optimal system design. Therefore the own preliminary studies focus on the highly efficient event-driven modeling and the stability analysis of the PLL. Furthermore, the modeling is taking typical nonlinear and non-ideal effects into account. This enables an efficient and intuitive analysis of the interdependence of these effects. Comprehensive characterizations of the preliminary studies show that the non-ideal effects within the PLL significantly affect its performance and must be considered for a robust design. Using the example of the dead zone, a more robust system design is implemented in the preliminary work showing the feasibility of the proposed design methodology.In this project, the shown methodology will be further developed in order to model more typical deterministic and stochastic non-ideal effects and to characterize their influence on the control behavior. The explored interdependence will contribute to a better understanding of the non-linear, chaotic and non-ideal PLL. Furthermore, an analytical stability analysis of the third-order phase locked loop, including non-ideal effects, will be performed. Both the indirect Lyapunov method and the general Lyapunov theory will be used. Finally, the results of the performed analysis and the analytical stability considerations, including non-ideal effects, will be used for an optimized and more robust design of the third order mixed-signal PLL. In addition, the investigated approaches can also be used for PLL with higher orders.

由于数字域和模拟域的结合，混合信号锁相环的设计具有挑战性。对这些系统进行高效和精确的建模是必要的，因为晶体管级别的模拟是耗时的，而且对动态行为的全面表征是不可能的。然而，当以最佳系统设计为目标时，这种表征是必要的。因此，自己的初步研究集中在高效的事件驱动建模和锁相环的稳定性分析上。此外，模型还考虑了典型的非线性和非理想效应。这使得能够有效和直观地分析这些影响的相互依存关系。初步研究的综合表征表明，锁相环内部的非理想效应对其性能有很大影响，必须考虑到这一点才能进行稳健设计。以死区为例，在前期工作中实现了更稳健的系统设计，证明了所提出的设计方法的可行性。在本项目中，将进一步发展所展示的方法，以便对更典型的确定性和随机性非理想效应进行建模，并表征它们对控制行为的影响。这种相互依赖关系的探索将有助于更好地理解非线性、混沌和非理想锁相环。此外，还将对包含非理想效应的三阶锁相环进行稳定性分析。间接的李亚普诺夫方法和一般的李亚普诺夫理论都将被使用。最后，分析的结果和分析的稳定性考虑因素，包括非理想效应，将被用于三阶混合信号锁相环的优化和更稳健的设计。此外，所研究的方法也适用于更高阶锁相环。