运用基于拟随机数的响应曲面法改进电路模拟  

Improving circuit simulation using response surface method based on quasi random number

作　　者：田军[1] 周勇[1,2] 

机构地区：[1]中国科学院数学与系统科学研究院,北京100190 [2]上海财经大学统计与管理学院,上海200433

出　　处：《系统工程理论与实践》2013年第6期1530-1536,共7页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(70911130018);国家创新研究群体科学基金(10721101);上海财经大学"211工程"三期重点学科建设项目;上海市重点学科建设项目(B803)

摘　　要：由于低成本与高效率,电路模拟已经成为电路设计的必需环节,不过已有的电路模拟软件仍然不能满足业界对精确度及速度的双重要求.针对MOS管元件,采用响应曲面法建立输出与输入的近似关系模型,将复杂的电路计算简化为线性运算,大大减轻了工作量,提高了速度.同时为了保证精度,对模拟中随机点的选取加以改进,用均匀性更好、更具代表性的拟随机数取代通常的伪随机数,对于同样数量的随机点,拟随机数得到的模拟结果明显优于伪随机数的.由此就可以在保证精度的同时提高效率.通过模拟得到了很好的结果.Circuit simulation is an important technique ciency in the circuit design. However, the existing circuit to decreasing the cost and improving high effisimulation software still can not meet the dual demands of the industry on the accuracy and speed. This paper used response surface method to establish the approximate relationship of the output and input against MOS elements. It simplified complex circuit calculation as linear calculation. As a result, it greatly reduces the work and increases the speed. Mean- while, in order to ensure the accuracy, the selected random points in the simulation has been improved by using more uniform and representative quasi random number. For the same number of random points, quasi random number makes the better results than the pseudo random number. This can guarantee the accuracy and improve the efficiency. We get good results by the empirical tests.

关 键 词：电路模拟 响应曲面 拟随机数 Sobol序列 

分 类 号：O213.1[理学—概率论与数理统计]