模拟IC设计中性能参数的几何规划法建模  

Modeling of Performance Parameters in Analog IC Design Using Geometric Programming Method

作　　者：徐鹏[1,2] 李铁柱 职保平[1] XU Peng;LI Tiezhu;ZHI Baoping(Yellow River Water Conservancy Vocational and Technical College,Kaifeng 475004,China;Kaifeng Virtual Reality Application Engineering Technology Research Center,Kaifeng 475004,China;School of Computer and Information Engineering,Henan University,Kaifeng 475004,China)

机构地区：[1]黄河水利职业技术学院,开封475004 [2]开封市虚拟现实应用工程技术研究中心,开封475004 [3]河南大学计算机与信息工程学院,开封475004

出　　处：《核电子学与探测技术》2023年第3期444-451,共8页Nuclear Electronics & Detection Technology

基　　金：国家自然科学基金青年基金(51709125);河南省科技攻关项目(212102310479)资助。

摘　　要：探讨了基于几何规划法的模拟集成电路优化设计中性能参数的建模方法。该方法利用间接拟合法计算电路性能的一组样本,对采样得到的性能数据拟合为一个二阶多项式模板模型并进行近似处理,使其成为正项式模型;然后利用直接拟合法,采用一种约束最小化算法将正项式拟合问题构建为一个单目标凸优化问题来拟合所需的正项式模型;实验结果表明,该建模方法不仅在模型生成时间、系数个数和稀疏性方面具有较好的性能,而且在生成模型质量方面也优于常用的多项式建模技术。The modeling method of performance parameters in optimal design of analog integrated circuits based on geometric programming is discussed.The indirect fitting method is used to calculate a set of circuit performance samples,and the sampled performance data is fitted into a second-order polynomial template model and approximated to become a posynomial model;Then,using the direct fitting method,a constraint minimization algorithm is used to construct the posynomial fitting problem as a singleobjective convex optimization problem to fit the required posynomial model;The experimental results show that the proposed modeling method not only has good performance in terms of model generation time,number of coefficients and sparsity,but also outperforms the common polynomial modeling techniques in terms of model generation quality.

关 键 词：核电子技术 模拟集成电路 性能建模 几何规划法 拟合 正项式 模型生成 偏差 

分 类 号：TN402[电子电信—微电子学与固体电子学]