An Early-Stop Adjoint Transient Sensitivity Analysis Method for Objective Functions Associated with Many Time Points  

作　　者：Wenfei Hu Sen Yin Liang Wang Chunxue Liu Zhikai Wang Zuochang Ye Yan Wang 

机构地区：[1]School of Integrated Circuits,Tsinghua University,Beijing 100084,China [2]Beijing Microelectronics Technology Institute(BMTI),Beijing 100076,China [3]Beijing Innovation Center for Future Chips,Tsinghua University,Beijing 100084,China [4]Beijing National Research Center for Information Science and Technology,Tsinghua University,Beijing 100084,China

出　　处：《Tsinghua Science and Technology》2023年第3期566-579,共14页清华大学学报（自然科学版（英文版）

基　　金：supported by the National Key R&D Program(No.2018YFB2202701)from Ministry of Science and Technology,China.

摘　　要：Transient sensitivity analysis aims to obtain the gradients of objective functions(circuit performance)with respect to design or variation parameters in a simulator,which can be widely used in yield analysis and circuit optimization,among others.However,the traditional method has a computational complexity of O(N^(2))for objective functions containing circuit states at N time points.The computational complexity is too expensive for large N,especially in time-frequency transform.This paper proposes a many-time-point sensitivity method to reduce the computational complexity to O(N)in multiparameter many-time-point cases.The paper demonstrates a derivation process that improves efficiency by weighting the transfer chain and multiplexing the backpropagation process.We also proposed an early-stop method to improve efficiency further under the premise of ensuring accuracy.The algorithm enables sensitivity calculation of performances involving thousands of time points,such as signal-to-noise and distortion ratio and total harmonic distortion,with significant speed improvements.

关 键 词：adjoint sensitivity Fourier transformation transient analysis many time point sensitivity(MTPS) early-stop 

分 类 号：TN701[电子电信—电路与系统] TP38[自动化与计算机技术—计算机系统结构]