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Synthesis Approach to Planar Filter Design Using New Cascade Hybrid Triplet Block With Arbitrary-Placed TZ Pair

A new low-pass prototype, i.e., cascade hybrid triplet (CHT), is proposed in this article. This triplet, as a synthesis building block, offers two arbitrary-placed transmission zeros (TZs) to suppress the target frequency area or produce a complex TZ pair to flatten the group delay. The CHT can be used to accurately synthesize and design three types of real circuit configurations, i.e., double-dangled extracted-pole section (DDEPS), coupled-resonator-dangled extracted-pole section (CDEPS), and frequency-dependent triplet (FDT) with the asymmetric response. We present the detailed synthesis and the related design method for three types of circuits, while a series of typical examples is synthesized and designed to demonstrate the proposed approach. Finally, four planar four-TZ filters with asymmetric responses based on the proposed approach are designed and fabricated to exhibit the high-order filter application. A good agreement between the synthesis and experimental results is obtained.