考虑到片上波动对Mesh结构时钟系统的影响,提出了一种基于统计理论的时钟系统性能分析方法.该方法的核心思想是在真实的解析函数难以求解的情况下,采用统计分析方法对该函数进行拟合.从两方面着手研究:如何拟合时钟偏差的概率分布;如何拟合前驱动层时钟路径的时延对时钟偏差的影响.实验证明,时钟偏差的概率分布可用正态分布拟合,而前驱动层时钟路径的时延与时钟偏差的关系可采用多元线性回归模型进行拟合.因此,这套拟合方法使设计人员能够通过正态分布的概率分布函数评估不确定性约束是否合理;在设计后期,根据多元线性回归模型调节优化前驱动层,提高时钟系统的性能.%Considering the impact of on-chip variation on Mesh-structured clock systems, a performance analysis method for Mesh-structured clock systems based on statistical theories was proposed.The main idea of this method is that when the real analytical function is too hard to be constructed, using statistical analysis techniques to fit the func-tion.The study was conducted from two aspects: How to fit the probability distribution of clock skew; How to fit the impact of clock paths' time delay of the pre-driving part on clock skew.The experiments prove that the proba-bility distribution of clock skew can be fitted by normal distribution, while the relationship between time delay of the pre-driving part' s clock paths and the clock skew can be fitted by using the multi-variable linear regression model.Therefore, this set of fitting approaches make it possible for designers to estimate the rationality of the clock uncertainty constraint through the cumulative probability distribution function of normal distribution and to refine the pre-driving part according to the multi-variable linear regression model at the later stage of design.
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