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On the analysis of sorting networks from the viewpoint of circuit theory

机译：从电路理论的角度分析排序网络

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A sorting network is the kernel of an order statistics-based filter and contains all information about the nonlinearity. Its implementation is simple; its analysis, however, is relatively difficult due to the hiding of the nonlinearity. In thisshort paper, we analyze a sorting network from the viewpoint of classical circuit theory, and reveal its relation to a nonlinear lossless n-port. We show that a sorting network is in fact the wave digital filter (WDF) realization of an n-port memorylessnonlinear classical network. Hence, it can be unified to the group of nonlinear WDF networks. Useful properties such as passivity and losslessness are hence inherent properties of such networks.
机译：排序网络是基于阶次统计的过滤器的内核，包含有关非线性的所有信息。它的实现很简单;然而，由于隐藏了非线性，它的分析相对困难。本文从经典电路理论的角度分析了一种排序网络，并揭示了它与非线性无损n端口的关系。我们表明，排序网络实际上是n端口无存储器非线性经典网络的波数滤波器（WDF）实现。因此，它可以统一到非线性WDF网络组中。因此，无源性和无损等有用属性是此类网络的固有属性。

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