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Cross-couplingincoaxialcavityfilters-atutorialoverview1368IEEETRANSACTIONSONMICROWAVETHEORYANDTECHNIQUES,VOL.51,NO.4,APRIL2003Cross-CouplinginCoaxialCavityFilters―ATutorialOverviewJ.BrianThomas,Member,IEEEAbstract―Thispaperpresentsatutorialoverviewoftheuseofcouplingbetweennonadjacentresonatorstoproducetransmissionzerosatrealfrequenciesinmicrowavefilters.Multipathcouplingdiagramsareconstructedandtherelativephaseshiftsofmultiplepathsareobservedtoproducetheknownresponsesofthecascadedtripletandquadrupletsections.Thesametechniqueisalsousedtoexplorelesscommonnestedcross-couplingstructuresandtopredicttheirbehavior.Adiscussionoftheeffectsofnonzeroelectricallengthcouplingelementsispresented.Finally,abriefcategorizationofthevarioussynthe……