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Distortion analysis of periodically switched nonlinear circuits using time-varying Volterra series

机译：使用时变Volterra级数的周期性开关非线性电路的失真分析

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This paper presents a new frequency-domain method for distortion analysis of general periodically switched nonlinear circuits. It generalizes Zadeh's time-varying network functions and bifrequency transfer functions from linear time-varying systems to nonlinear time-varying systems. The periodicity of time-varying network functions of linear and nonlinear periodically time-varying systems is investigated using time-varying Volterra series. We show that a periodically switched nonlinear circuit can be characterized by a set of coupled periodically switched linear circuits. Distortion of the periodically switched nonlinear circuit is obtained by solving these linear circuits. This result is a generalization of the multi-linear theory known for nonlinear time-invariant circuits. We also show that the aliasing effect encountered in noise analysis of switched analog circuits exists in distortion analysis of periodically switched nonlinear circuits. Computation associated with the folding effect can be minimized by using the adjoint network of periodically switched linear circuits, in particular, the frequency reversal theorem. The method presented in this paper has been implemented in a computer program. Distortion of practical switched circuits is analyzed and the results are compared with SPICE simulation.
机译：该文提出了一种新的频域分析方法，用于分析一般周期性开关非线性电路的失真。它将Zadeh的时变网络函数和双频传递函数从线性时变系统推广到非线性时变系统。采用时变Volterra级数研究了线性和非线性周期性时变系统时变网络函数的周期性。我们表明，周期开关非线性电路可以由一组耦合的周期开关线性电路来表征。通过求解这些线性电路，可以得到周期性开关非线性电路的失真。该结果是对非线性时不变电路已知的多线性理论的推广。我们还表明，在开关模拟电路的噪声分析中遇到的混叠效应存在于周期性开关非线性电路的失真分析中。通过使用周期性开关线性电路的伴随网络，特别是频率反转定理，可以最小化与折叠效应相关的计算。本文介绍的方法已在计算机程序中实现。分析了实际开关电路的失真，并将结果与SPICE仿真结果进行了比较。

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