Methodological study reveals universal coupling matrix reconfiguration via Householder transformations in microwave filters, highlighting rapid synthesis across arbitrary topologies.
This article proposes a universal framework for coupling matrix (CM) reconfiguration, offering exceptional adaptability and efficiency. Leveraging Householder transformation (HT), the proposed method enables the attainment of any desired configuration within a maximum of N (the filter’s degree) steps. Analytical derivations of N-step Householder matrices tailored to conventional topologies such as folded, arrow, and N-tuplets are provided, streamlining the synthesis process. Additionally, an innovative optimization process applicable to arbitrary topologies is developed, ensuring flexibility across various design requirements. By employing the universal N-step approach, HT matrices can be updated using analytical gradients while preserving orthogonality, ensuring precise and reliable outcomes. To validate the effectiveness of the approach, a complex dual-band filter example with a 16° extended box (EB) CM is utilized, demonstrating accuracy and efficiency through synthesized and measured results.
No takes yet. Share an insight, caveat, or question.
Wu et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: