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Steady-state transmission through networks containing periodically operated switches

机译:通过包含定期操作的开关的网络进行稳态传输

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THE GENERAL problem of transmitting signals through linear systems in which one or more parameters vary periodically with time has an extensive literature. One widely used method is based on Fourier series representation of the varying parameters. This leads to an infinite number of simultaneous linear equations expressing the relations between the coefficients in the corresponding Fourier series representation of the steady-state response. The solution of the equations can be expressed in terms of determinants of infinite order which in turn can be evaluated by various approximation techniques. In practical cases it is often permissible to neglect all but a few dominant components; the number of equations is thereby made finite and reasonably small.
机译:通过线性系统传输信号的一般问题已有广泛的文献,在线性系统中一个或多个参数随时间周期性变化。一种广泛使用的方法是基于变化参数的傅立叶级数表示。这导致无限数量的联立线性方程式表达稳态响应的相应傅里叶级数表示中系数之间的关系。方程的解可以用无穷阶的行列式表示,而行列式又可以通过各种近似技术进行评估。在实际情况下,通常可以忽略除少数几个主要组件之外的所有组件。因此,方程的数量变得有限且相当小。

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