In N-path filter analysis, assumptions are used to simplify their analysis to avoid the complexity of the calculations. These assumptions limit the number of examinable circuits. This paper analyzes a general system including an arbitrary number of N-path filters to generalize the analysis. In the proposed method, due to the calculation of harmonic transfer functions for each independent capacitor in each time interval, it is possible to examine N-path filters in the presence of common capacitors between multiple branches, leakage resistors, and branches with asymmetric switching. The absence of discontinuous jumps during the switching moments and switching operation in a non-overlapping fashion with a specified periodicity are the only assumptions of the proposed method. As a result, more LPTV (linear periodically time-varying) systems can be analyzed using the calculations provided. After presenting the method, we show the proposed method's ability by analyzing a recently published impedance-transforming N-path filter and examining its details.

中文翻译：

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高阶 N 路滤波器的广义分析

在 N 路滤波器分析中，使用假设来简化其分析，以避免计算的复杂性。这些假设限制了可检查电路的数量。本文分析了一个包含任意数量的 N 路滤波器的通用系统，以概括分析。在所提出的方法中，由于计算了每个时间间隔内每个独立电容器的谐波传递函数，因此可以在多个支路、漏电电阻和不对称开关支路之间存在公共电容器的情况下检查 N 路滤波器。所提出的方法的唯一假设是在切换时刻不存在不连续跳跃以及以指定周期以非重叠方式进行切换操作。因此，可以使用提供的计算分析更多 LPTV（线性周期性时变）系统。在介绍该方法之后，我们通过分析最近发布的阻抗变换 N 路径滤波器并检查其细节来展示所提出方法的能力。