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Multimode TRL technique for de-embedding of differential devices

机译:用于差分设备去嵌入的多模TRL技术

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The thru-reflect-line (TRL) is one of the most fundamental and accurate vector network analyzer (VNA) calibration techniques. The multimode TRL calibration method generalizes the standard TRL technique to multimode waveguides. In this paper, the practical use of the multimode TRL calibration technique for de-embedding purposes is discussed. The focus is on the four-port case, since this covers the majority of the practical applications. However, the formulation can be easily extended for networks with higher number of ports. The common de-embedding assumptions such as reciprocity and symmetry are analyzed and their consequences on the multimode TRL algorithm are discussed. It is shown that the reciprocity assumption applied to the embedding networks reduces the requirements on the reflect standard. It is demonstrated that additional assumptions of either identical or symmetrical error networks make it possible to completely resolve the problem related to the reflect standard. Based on the derived formulation, it is shown that the multimode TRL calibration reduces to the traditional TRL de-embedding under reciprocity and symmetry assumptions. The problems of interpretation and re-normalization of the obtained scattering parameters (S-parameters) are also discussed. Finally, the measurement results are presented that verify the multimode TRL approach for de-embedding of four-port differential devices.
机译:直通反射线(TRL)是最基本,最准确的矢量网络分析仪(VNA)校准技术之一。多模TRL校准方法将标准TRL技术推广到多模波导。在本文中,讨论了将多模式TRL校准技术用于去嵌入的实际应用。重点放在四端口情况下,因为这涵盖了大多数实际应用。但是,该公式可以轻松扩展为具有更多端口的网络。分析了互惠性和对称性等常见的去嵌入假设,并讨论了它们对多模TRL算法的影响。结果表明,应用于嵌入网络的互惠性假设降低了对反射标准的要求。事实证明,相同或对称误差网络的其他假设可以完全解决与反射标准有关的问题。基于推导的公式,表明在互易性和对称性假设下,多模TRL校准可简化为传统的TRL去嵌入。还讨论了获得的散射参数(S参数)的解释和重新规范化问题。最后,给出了测量结果,这些结果验证了用于四端口差分设备去嵌入的多模TRL方法。

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