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응용전자회로 강의록 #9. 2010103821 생체의공학과 최준민 제출일 2014.05.26( 월 ). Filter. Passive Filter : 이득이 없는 필터 Active Filter : 이득이 있는 필터. LPF. HPF. LPF. HPF. Ideal Filter. 2)HPF. 1)LPF. lHl. lHl. 3)BPF. 4)Notch. lHl. lHl. Real Filter. 예 ) LPF. 1)LPF. lHl. Transition band. Pass band.

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응용전자회로 강의록#9

2010103821 생체의공학과 최준민

제출일 2014.05.26(월)

filter
Filter
  • Passive Filter : 이득이 없는 필터
  • Active Filter : 이득이 있는 필터

LPF

HPF

LPF

HPF

ideal filter
Ideal Filter

2)HPF

1)LPF

lHl

lHl

3)BPF

4)Notch

lHl

lHl

real filter
Real Filter
  • 예) LPF

1)LPF

lHl

Transition

band

Pass

band

Stop

band

filter1
Filter
  • 1)저항 :
  • 2)커패시터:
  • 3)인덕터:

H

Vo(t)

Vi(t)

filter2
Filter

축상이 아닌 곳의 zero 나 pole은 항상 켤레 복소수를 가진다.

*Pole –Zero Diagram

이 축상에 나타나는 값들은

모두 실근 혹은 중근으로 표현

된다

RHP

(Right Half Place)

LHP

(Left Half Place)

filter3
Filter

σk<0

σk>0

filter4
Filter

σk<0

  • BiBo Stability: Bounded Input Bounded Output->

σk>0

σk<0

σk=0

filter5
Filter

σk<0 : 모든 Pole이 LHP 내부에 있다.

Natural Response “die out” -> Transient Response

앞으로 Steady State Frequency Response 만 본다.

H(jw)

Vo(jw)

Vi(jw)

Vo(t)

Vi(t)

filter6
Filter
  • 예) LPF

R2

Vi(t)

Vo(t)

first order active filter
First Order Active Filter

R2

1.LPF

Vi(t)

Vo(t)

first order active filter1
First Order Active Filter

2.HPF

R2

Vi(t)

Vo(t)

first order active filter3
First Order Active Filter

4.Phase Shifter

Vi(t)

Vp(t)

Vo(t)

입력에대한 증폭은 없고

그대로 나옴>>all pass filter

first order active filter4
First Order Active Filter

주파수↑ → 위상이 비례해서 증가

Time delay 같다

→Phase distortion X

second order active filter
Second order Active Filter

① ζ>1 (서로 다른 실근)

2개의 Pole in LHP

Natural response는 2개의 지수함수의 합

second order active filter1
Second order Active Filter

② 0<ζ<1 (켤레복소수)

2개의 Pole in LHP

Natural response : damped sinusoid

③ ζ=0 (undamped)

Natural response

second order active filter2
Second order Active Filter

④ ζ<0 (undamped)

Diverge 발산 (unstable)

damping↑→ zeta가 1에가까워진다→ Q가 작아진다→ osillation수↓

damping↓→ zeta가 0에가까워진다 → Q가 커진다→ osillation수↑