Coupling Matrix Synthesis for Microwave Filters

Microwave Filter Coupling Matrix Synthesis: 1) Deriving coupling matrices from transmission zero locations and return loss specifications; 2) Synthesizing coupling matrices from S21 and S11 polynomials; 3) Plotting filter S-parameters based on known transmission zero positions, filter order, and return loss requirements - demonstrated using 4th-order and 8th-order filter examples with algorithm implementation details.