Automatic Design of Circular SIW Resonators by a Hybrid Approach Based on Polynomial Fitting and SVRMS

Abstract

We obtain analytical formulas enabling automatic design procedures of circular Substrate Integrated Waveguide (SIW) resonators, assuming a prescribed resonance frequency f _res. On the one hand, such formulas allow us to write flexible codes. On the other hand, they yield sharp estimates of the SIW geometrical parameters, which are subsequently passed as inputs to a Support Vector Regression Machine (SVRM), especially trained to make compensation. In particular, the SVRM uses such estimates to compute a further frequency f′_res, possibly different from f _res, and the overall process is restarted over and over through a feedback loop, until the relative error |f _res — f′_res|/f _res is reduced under a given threshold. To validate the proposed approach, we finally compare the design outputs provided by its implementation in the Matlab environment with the results of HFSS simulations.