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A Synthesis Approach to Acoustic Wave Ladder Filters and Duplexers Starting With Shunt Resonator
IEEE Transactions on Microwave Theory and Techniques ( IF 4.3 ) Pub Date : 2021-01-01 , DOI: 10.1109/tmtt.2020.3033554
Eloi Guerrero , Patricia Silveira , Jordi Verdu , Yansong Yang , Songbin Gong , Pedro de Paco

In this article, we explore how acoustic wave filters starting with shunt resonator require particular reflection phase conditions to ensure that the synthesized filter is feasible. The position of transmission zeros (TZs) along with the phase of the objective filter function might lead to nonfeasible solutions where the first and last resonators require elements with positive reactance slope in the static branch, or equivalently, a nonphysical negative static capacitor. Since the reflection phase of a duplexer-oriented filter is fixed to reduce loading effects, the feasibility problem is solved by bringing the resonance frequency of the first resonator beyond the central frequency of the counter band. However, this entails surpassing the limits of the electromechanical coupling coefficient. We demonstrate how two reactive elements at the input overcome this resonance position limitation and provide a simple rule to decide the right topology. The position of the first TZ of duplexers will play an important role. Moreover, we provide rules on the reflection phase values that ensure that all resonators have a capacitive static branch.

中文翻译:

从并联谐振器开始的声波阶梯滤波器和双工器的综合方法

在本文中,我们探讨了从并联谐振器开始的声波滤波器如何需要特定的反射相位条件以确保合成滤波器可行。传输零点 (TZ) 的位置以及目标滤波器函数的相位可能会导致不可行的解决方案,其中第一个和最后一个谐振器需要静态分支中具有正电抗斜率的元件,或等效地,一个非物理的负静态电容器。由于面向双工器的滤波器的反射相位是固定的以减少负载效应,因此通过使第一谐振器的谐振频率超出对带的中心频率来解决可行性问题。然而,这需要超过机电耦合系数的限制。我们演示了输入端的两个电抗元件如何克服这种谐振位置限制,并提供一个简单的规则来决定正确的拓扑结构。双工器的第一个 TZ 的位置将发挥重要作用。此外,我们提供了有关反射相位值的规则,以确保所有谐振器都具有容性静态支路。
更新日期:2021-01-01
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