Analytical Formulas for the Coverage of Tunable Matching Networks for Reconfigurable Applications

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Tunable matching networks are essential components for agile radio frequency systems. To optimally design such networks, the total area they cover on the Smith chart needs to be determined. In this work, the coverage areas of typical matching networks have been determined analytically for the first time. It has been found that the coverage area is encompassed by up to five arcs. Analytical expressions for the centers and radii for these arcs have been derived. The theoretical analysis is provided for four typical matching networks and verified by circuit simulation and measured data. Moreover, a dynamically load-modulated power amplifier has been designed using the presented theoretical techniques, which demonstrates a measured improvement in the power added efficiency of up to 5\% in the frequency range of (0.8 - 0.9) GHz.
Original languageEnglish
Pages (from-to)3211-3220
Number of pages11
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number9
Early online date7 Apr 2017
Publication statusPublished - Sep 2017


  • Smith chart
  • tunable matching networks
  • power amplifiers
  • re-configurable
  • dynamic load modulation

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