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Numerical Analysis of the Dual-mode Resonator Using Shunt-Stub for the Filter Application

단락형 스터브를 이용한 이중모드 공진기의 필터 응용을 위한 수식적 해석

  • 노순국 (조선대학교 SW융합교육원) ;
  • 윤태순 (호남대학교 전자공학과)
  • Received : 2017.12.04
  • Accepted : 2018.04.15
  • Published : 2018.04.30

Abstract

In this paper, the value of inverter and the characteristics of the dual-mode resonator with the shunt-stub are analyzed and calculated. The value of inverter is function of the impedances and electrical lengths of the resonator and shunt-stub. According to suggested equation, the value of inverter is increased for the square root function. And the value of inverter is decreased as higher impedance of resonator and higher ripple. The bandwidth of the filter is increased as the ripple and the impedance ratio. Also, the center frequency of the filter is shifted as designed impedance. In order to show the designed method, the filter with the resonator's and stub's impedances of $70.7{\Omega}$, and $56.56{\Omega}$, respectively, is suggested by example.

본 논문에서는 이중모드 공진기를 필터로 활용하기 위해 단락형 스터브로 구현되는 이중모드 공진기에 대해 인버터 값 및 특성을 수식적으로 해석하였다. 인버터 값은 공진기와 단락형 스터브의 임피던스 및 전기적 길이의 함수로 주어지며, 각각 제곱근의 함수로 비례 증가하는 특성을 가진다. 또한, 공진기의 임피던스 및 리플이 증가할수록 인버터 값이 감소하는 특성을 보였다. 필터의 대역폭은 리플의 크기 및 임피던스 비에 따라 증가하였다. 또한, 설계 임피던스에 따라 필터의 중심주파수가 이동되는 것을 확인하였다. 계산식의 확인을 위해 공진기와 스터브의 임피던스를 각각 $70.7{\Omega}$, $56.56{\Omega}$으로 하여 인버터 값을 계산하고 중심주파수 이동 특성을 반영하여 필터를 설계하는 예를 제시하였다.

Keywords

References

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