실험, 06 - 저역통과필터

 

I. 이론

1. 수동필터 vs 능동필터

저역통과필터

LOW Pass Circuit and Frequency Response

 

 

수동필터 vs 능동필터

- 수동 LPF

rc low pass filter 이미지 검색결과

- 능동 LPF

 

https://www.electronics-tutorials.ws/wp-content/uploads/2013/08/fil20a.gif?fit=444%2C226

 

능동필터의 특징

- Can have gain

- Amplifier: prevents impedance loading of the following stage

  Good isolation between stages: hign Zin low Zout

  Multiple stages can be combined to tailor the response.

- Inductors are not used: bulky or expensive, especially at audio frequencies

- Filter response tuned with inexpensive R

  Tunable over a wide range

- In some active filters, one filter parameter can be adjusted without affecting the others.

- Upper frequencies are limited by the frequency response of the amplifier.

 

2. 능동 LPF

필터차수

- 필터에 사용된 에너지 저장부품의 개수와 동일

- 차수가 클수록 roll-off 기울기 증가

   Roll-off = 20N dB/decade

https://upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Butterworth_Filter_Orders.svg/1280px-Butterworth_Filter_Orders.svg.png

 

2.1 1 LPF

 

active low pass filter circuit

 

 

non-inverting amplifier low pass filter circuit

 

inverting amplifier low pass filter circuit

 

2.2 2 LPF

 

 

Multiple feedback topology

https://upload.wikimedia.org/wikipedia/commons/thumb/5/56/MFB_Topology.png/1280px-MFB_Topology.png

- Two poles in the transfer function

 

Sallen-Key topology

- 특징: 2 능동필터 구조, VCVS 필터 구조의 일종, 회로단순

- LPF

    https://upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Sallen-Key_Lowpass_Example.svg/1280px-Sallen-Key_Lowpass_Example.svg.png

- HPF

https://upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Sallen-Key_Highpass_Example.svg/1280px-Sallen-Key_Highpass_Example.svg.png

- BPF

https://upload.wikimedia.org/wikipedia/commons/thumb/e/ee/VCVS_Filter_Bandpass_General.svg/1280px-VCVS_Filter_Bandpass_General.svg.png

 

Biqud filter

-Transfer function: ratio of two quadratic functions

https://upload.wikimedia.org/wikipedia/commons/thumb/4/4b/BiquadFilter1.svg/1280px-BiquadFilter1.svg.png


 

3. 실험회로 해석