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放大电路最优静态工作点及其物理判据

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静态工作点(简称Q点)是晶体管放大电路能够不失真放大信号的关键参数.为寻找到合适的静态工作点,目前通常依赖图解法对Q点进行后验估计,缺少对Q点进行先验最优设计的理论依据.为解决该问题,在仔细考察了图解法的适用边界的基础上,给出了最优Q点的相关定义,并创新性地从最大裕度积和期望电压差两个思路对最优Q点进行表征.更重要的是,在数学方面推导出了最优Q点对应的不变量,同时在物理方面阐明了最优Q点与最大传输功率的等效性.此外,为验证最优Q点理论的一般性,将复杂电路对最优Q点的定位转化为简单电路对若干具有代表性的电路参数所允许相对变化量的考察,展示了最优Q点理论的适用性.本文研究工作为放大电路的最优Q点设计与电路静态参数快速分析提供了理论指导,可以应用于甚大规模集成电路、柔性智能超表面、超导量子拓扑电路等诸多新型复杂电子信息系统.
Optimal static work point and corresponding physical criteria for amplifier circuit
The static operating point(Q-point)is a key parameter for transistor amplification circuits to amplify signals without distortion.Currently,the graphical method is commonly used for posterior estimation of the Q point,lacking a theoretical basis for prior optimal design.To address this issue,this paper carefully examines the applicable boundary of the graphical method and provide a definition of the optimal Q point.This optimal Q point is characterized by maximizing margin product and expected voltage difference.More importantly,this paper derives the optimal Q-point mathematically,and clarifies the equivalence between the optimal Q-point and the maximum transmission power physically.In addition,in order to verify the generality of the optimal Q-point theory,this paper cleverly transforms the locating of the optimal Q-point for complex circuits into the examination of the relative changes allowed for several representative circuit parameters of simple circuits,which demonstrates the applicability of the optimal Q-point theory and its superiority in guiding the design of complex circuits.This research provides theoretical guidance for the optimal Q-point design of amplification circuits and fast analysis of circuit static parameters,which can be widely used in very large-scale integrated circuits,flexible smart metasurfaces,superconducting quantum topological circuits and many other new complex electronic information systems.

static work pointamplified circuitsmaximum transmission powercircuit parameters

刘公绪、屈一纯、范豪杰

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西安电子科技大学 电子工程学院,陕西 西安 710071

静态工作点 放大电路 最大传输功率 电路参数

国家自然科学基金青年项目中国博士后面上项目

621013992021M692497

2024

微电子学与计算机
中国航天科技集团公司第九研究院第七七一研究所

微电子学与计算机

CSTPCD
影响因子:0.431
ISSN:1000-7180
年,卷(期):2024.41(9)