Numerical Aspects of Exhaustive Synthesis Framework of Bandpass Filters with Arbitrary Topology for All Real-valued Solutions
Junyi Liu, Ke‐Li Wu · 2025
Microwave coupled resonator bandpass filters are compulsory components in wireless communication systems. Synthesizing a pertinent circuit model of a bandpass filter consists of two components: to construct the rational filtering function that meets specifications and to turn the filtering function into the coupling matrix in a desired coupling topology that best fits the application. Traditionally, the coupling matrix in an intended coupling topology is acquired by applying a series of Jacobi rotation transformations to the coupling matrix in a canonical form based on a handful of "recipes". This barrier has been removed recently by the newly developed exhaustive synthesis platform, which can find all the real-value solutions for any given viable coupling topologies. In this paper, some numerical aspects about the exhaustive synthesis platform will be discussed in detail. The superiority of the mathematic formulation is demonstrated by comparisons with other existing numerical formulations for both dispersion-less and dispersive bandpass filters.