Stepped-Impedance Resonator for Compact High-Q Filters

The patent applies parameter changes by modifying the geometric parameters of the resonator structure. Specifically, it uses a stepped-impedance design where the resonator cross-section changes along its length, creating regions of different impedance. This geometric parameter modification allows the resonator to achieve the required electrical length for high Q-factor while physically occupying less space, thereby resolving the contradiction between quality factor and size.

The patent employs dimensionality change by transitioning from a uniform cross-section resonator to a stepped-impedance structure with varying cross-sectional areas. This introduces a dimensional variation along the resonator length, creating capacitive and inductive regions that effectively increase the electrical path length without proportionally increasing the physical volume, thus achieving high Q-factor in a compact form.

The patent uses parameter changes by carefully controlling the dimensions and positions of the stepped sections in the resonator. By adjusting the cross-sectional areas, lengths of different sections, and their positions, the design optimizes the impedance distribution to maintain high Q-factor despite the reduced overall volume. The specific parameter values are chosen to achieve resonance at the desired frequency with minimal energy loss.

The patent applies dimensionality change by creating a non-uniform resonator structure with varying cross-sections along its length. This dimensional variation introduces capacitive loading at the expanded sections and inductive effects in the constricted sections, effectively increasing the electrical length within a compact physical footprint, thereby maintaining high Q-factor in a reduced volume.

The patent applies parameter changes by modifying the resonator's geometric parameters to achieve higher Q-factor. Since the required filter order is inversely related to Q-factor, the improved resonator performance allows for lower order filters to achieve the same frequency separation and guard band specifications, thereby reducing the number of resonator elements needed and simplifying the overall filter structure.

The patent employs dimensionality change in the resonator structure to achieve superior Q-factor performance. This enhanced resonator efficiency means that fewer resonator stages are required to achieve the desired filter selectivity and frequency separation, reducing the filter order and consequently decreasing both the physical space and complexity of the filter assembly.

The patent uses parameter changes by implementing a stepped-impedance design with specifically optimized cross-sectional dimensions at each section. Rather than using simple capacitive caps that create abrupt impedance discontinuities, the gradual stepping of impedance values minimizes reflective losses and maintains high Q-factor while achieving size reduction through the optimized geometric parameters.

The patent applies dimensionality change through a controlled variation of the resonator cross-section along its length. This gradual dimensional transition creates a distributed impedance profile that provides capacitive loading for size reduction while maintaining smooth field transitions that minimize energy loss, thereby preserving high Q-factor unlike abrupt capacitive caps.