A Novel Design Approach for Concurrent Dual Band Complex to Complex Matching Network

This paper presents a novel and simple technique to match two arbitrary Frequency Dependent Complex Loads (FDCLs) to two arbitrary Frequency Dependent Complex Sources (FDCSs) at any two un-correlated frequencies. The structure allows concurrent operability. It has the versatility to transform all combinations of loads and sources. In the proposed scheme, the complex loads/sources are transformed to the same constant g-circle using single section transmission lines. The combined susceptances at the two frequencies appearing in between those two transmission lines are then cancelled through a T-section stub. The concept has been validated by designing matching networks to match load impedances ZL1
$=80-\mathrm{j}50$
and ZL2
$=10+\mathrm{j}80$
with source impedances ZS1
$=30-\mathrm{j}40$
and ZS2
$=70+\mathrm{j}10$
at frequency ratio,
$\mathrm{m}=\mathrm{f}2/\mathrm{f}1=1.8,2.3,3.4,5.7$
and 7.3. The simulations have been done through Keysight Advanced Design System (ADS) using ideal transmission lines.