Gain-bandwidth effects on the resonator filter

Abstract

The purpose of this study is to analyze the resonator filter, and to determine the effects of gain-bandwidth on the dominant complex conjugate pole pair. Optimization methods are then used as a design tool to determine the compensation required to shift the dominant pole pair back to their original design locations. New design values resulting from the compensation are used for the final circuit. Simulations are run to verify that the new design produces the desired magnitude response. The roots of the characteristic equation are checked to verify the proper location of the dominant pole pair. A comparison is made between the third order approximation and the fifth order one.