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Symbolic Distortion Analysis of Multistage Amplifiers

机译:多级放大器的符号失真分析

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This paper studies the automation of the distortion analysis of multistage operational amplifiers by a symbolic analysis. The goal is to generate the readable closed-form design equations that relate the frequency-dependent harmonic distortion (HD) features, such as dc level, corner frequency, peaking, and zero, to the circuit parameters (including the nonlinearity coefficients). Prior research achieved such kind of characterization by carrying out the traditional signal-flow graph (SFG) analysis, which is highly algebra-involved and depends mainly on the manual derivation. This paper achieves automation by formulating a multiport circuit analysis strategy and applying a topological symbolic analysis method as an intermediate step in generating nodal transfer functions. The frequency-dependent HD factors are then characterized by analytically forming proper virtual current sources associated with the nonlinearity of each stage, modeled by a cubic polynomial. Implementation shows that the proposed tool can generate approximate closed-form HD characterization with comparable accuracy to full transistor-level simulation. The proposed automation tool can substantially mitigate heavy manual derivation work required by the existing SFG-based methods. Theory, software implementation, and circuit application are covered in detail.
机译:本文通过符号分析研究了多级运算放大器失真分析的自动化。目的是生成可读的闭式设计方程,这些方程将与频率相关的谐波失真(HD)特性(例如dc电平,转折频率,峰值和零)与电路参数(包括非线性系数)相关联。先前的研究是通过执行传统的信号流图(SFG)分析来实现这种表征的,SFG分析是高度代数的,并且主要依赖于人工推导。本文通过制定多端口电路分析策略并应用拓扑符号分析方法作为生成节点传递函数的中间步骤来实现自动化。然后,通过三次方多项式建模,通过分析形成与每一级非线性相关的适当虚拟电流源,来表征与频率相关的高清因子。实施过程表明,所提出的工具可以生成近似闭合形式的HD表征,其精度与全晶体管级仿真相当。所提出的自动化工具可以大大减轻现有基于SFG的方法所需的繁重的手动派生工作。理论,软件实现和电路应用都将详细介绍。

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