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A Novel Unequal Lumped-Element Coupler With Arbitrary Phase Differences and Arbitrary Impedance Matching

Zhuoyin Chen, Yongle Wu, Yuhao Yang, Weimin Wang

2021IEEE Transactions on Circuits & Systems II Express Briefs17 citationsDOI

Abstract

In this brief, for the first time, a novel compact lumped-element coupler is proposed, which can implement arbitrary power-dividing ratios, arbitrary phase differences, and arbitrary impedance matching. In the design, the proposed coupler is composed of eight lumped LC elements, which achieves a compact circuit size and avoids the complexity of implementation. In the section of circuit analysis, explicit close-formed design equations are derived. For demonstration, three cases of normal couplers and two cases of rat-race couplers extracted from the design procedure are simulated and fabricated. Good agreements between the measurements and simulations verify the design theory of the multifunctional LC coupler.

Topics & Concepts

Impedance matchingRat-race couplerMatching (statistics)Hybrid couplerElectrical impedanceElement (criminal law)Phase (matter)Power (physics)Topology (electrical circuits)Computer scienceElectronic engineeringMathematicsPower dividers and directional couplersMathematical analysisPhysicsEngineeringElectrical engineeringTelecommunicationsCombinatoricsStatisticsPolitical scienceQuantum mechanicsLawMicrowave Engineering and WaveguidesAdvanced Antenna and Metasurface TechnologiesElectromagnetic Compatibility and Noise Suppression
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