This article presents a Bayesian extension of the vector fitting (VF) procedure for rational approximation of frequency‐domain responses. The proposed method treats the linear part of VF in a Bayesian way, while propagating distributions through the nonlinear part by sampling. As such, it is capable of providing data‐driven uncertainty information along with the rational fit. The Bayesian VF technique is applied to two realistic design examples, a double folded stub filter and a RAM memory channel, demonstrating its validity and highlighting three potential applications of this novel framework.

中文翻译：

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使用线性贝叶斯向量拟合的频率响应统计模型

本文介绍了矢量拟合（VF）过程的贝叶斯扩展，用于频域响应的有理近似。所提出的方法以贝叶斯方式处理VF的线性部分，同时通过采样传播非线性部分的分布。因此，它能够提供数据驱动的不确定性信息以及合理拟合。贝叶斯VF技术已应用于两个现实的设计示例，即双折叠存根滤波器和RAM存储器通道，证明了其有效性并突出了此新颖框架的三个潜在应用。