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Applied Electronic Circuit #9

Applied Electronic Circuit #9. Filter, S-plane, Active Filter. 제출일 : 2014. 05. 26. 생체의공학과 2010103789 박 준 환. Passive Filter( 이득이 없는 필터 ). 1. Filter. Active Filter. 필터의 주파수 분석. 1. Filter. <High Pass Filter>. <Low Pass Filter>. <Band Pass Filter>. < Bandstop Filter(notch Filter)>.

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Applied Electronic Circuit #9

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  1. Applied Electronic Circuit #9 Filter, S-plane, Active Filter 제출일 : 2014. 05. 26. 생체의공학과 2010103789 박 준 환

  2. Passive Filter(이득이 없는 필터) 1. Filter • Active Filter

  3. 필터의 주파수 분석 1. Filter <High Pass Filter> <Low Pass Filter> <Band Pass Filter> <Bandstop Filter(notch Filter)> * 신호의 주파수 성분을 알아야 Filtering 가능. 신호와 Noise의 주파수가 다를 때 : Filter 사용 신호와 Noise의 주파수가 같을 때 : Shielding이나 그 외 방법 사용

  4. Filtering의 예시(교재 Fig 3.2에서 발췌) 1. Filter

  5. 실제의 Filter 1. Filter <Low Pass Filter> Transition Band Stop Band Pass Band : Cutoff Frequency

  6. 1. Filter + - + -

  7. “회로” 1. Filter * 전압이득 Filter를 구현하기 위해 반드시 Capacitor나 Inductor가 필요하다. - S가 나와야 하기 때문 * 예시

  8. S-plane(Pole-Zero Diagram) 2. S-plane Pole Zero Right Half Plane(RHP) Left Half Plane(LHP)

  9. 2. S-plane * Case 1. (실근) : Pole이 실근을 가질 경우 Diverge “시스템에서는 존재 X” Die out * BIBO Stability : Bounded Input Bounded Output →

  10. 2. S-plane * Case 2. Pole이 켤레복소수를 가질 경우 , oscillation , Diverge , Die out * : 모든 pole이 LHP에 있음 - Natural Response : Die out ( 시간이 지나면 없어진다 = Transient Response) - Steady State Frequency Response만 따짐

  11. 2. S-plane - 주파수는 같으나 크기와 위상이 변함

  12. First Order Active Filter 3. Active Filter * Low Pass Filter <Bode Plot> * : w가 10증가할 때마다 -20dB만큼 변화함

  13. First Order Active Filter 3. Active Filter * High Pass Filter

  14. First Order Active Filter 3. Active Filter * Band Pass Filter(Capacitor와 pole의 수가 같다)

  15. First Order Active Filter 3. Active Filter * Phase Shifter(All pass filter)

  16. First Order Active Filter 3. Active Filter * Phase Shifter(All pass filter) 이어서 이득 1 : 진폭감쇄가 없다 신호의 Amplitude를 바꾸지 않으면서 위상만을 변화시키고자 할 때 사용

  17. Second Order Active Filter * 의값의 범위에 따라 다른 값의 근이 나온다 3. Active Filter

  18. Second Order Active Filter 3. Active Filter * ζ > 1 (서로 다른 실근 2개) - overdamped : 2개의 pole이 LHP - Natural Response는 2개의 지수함수의 합 * 0 < ζ< 1 (Complex Conjugate) - - Natural Response: Damped Sinusoid * ζ = 0 (Undamped) - Natural Response: Oscillation * ζ< 0 (diverge : unstable) (ζ> 1) (0 < ζ < 1) (ζ < 0) (ζ = 0)

  19. Second Order Active Filter 3. Active Filter * 종합 (ζ = 0) (ζ < 0) (ζ < 1) (ζ = 1) (ζ < 0) (0 < ζ < 1) (ζ = 0)

  20. Second Order Active Filter 3. Active Filter * LPF 1. << 1 , “ ” 2. >> 1 , “” 3. = 1 , “ ” Cutoff frequency에서 값은 Q에 따라 변화 소자의 값에 따라 결정된다(R, C) (1차) (2차) 2차 Filter가 1차 보다 성능은 좋으나 Q값에 따라 파형이 바뀜

  21. 감사합니다.

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