Design an active filter 2nd order

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Discussion Overview

The discussion revolves around the design of a second-order active filter, focusing on specifications such as frequency response, gain, and component selection. Participants explore theoretical and practical aspects of filter design, including polynomial types and characteristics, as well as the implications of specific requirements like ripple and phase shift.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants emphasize that no ripple can exist in the output, allowing for non-linear phase shift.
  • There is a requirement for the frequency response to closely match the ideal filter response, with signals from 0 to 5 KHz passing through with a gain of 4 dB.
  • Participants note that other frequencies should experience a reduction of at least 100 times in gain for every tenfold increase in frequency.
  • One participant suggests using a capacitor of 0.01uF due to its availability and discusses minimizing offset error in the design.
  • Another participant proposes starting the design by listing various filter polynomial types and their characteristics, questioning which types exhibit ripple in the passband.
  • There is a discussion about the order of the filter needed to achieve the specified attenuation, with some suggesting it may be a high-pass filter (HPF) based on the gain requirement.
  • One participant presents calculations related to the filter design, including component values, but expresses uncertainty about the correctness of their steps.

Areas of Agreement / Disagreement

Participants generally agree on the specifications for the filter design, but there are differing views on the type of filter needed and the calculations involved. The discussion remains unresolved regarding the best approach to meet the design criteria.

Contextual Notes

Participants have not fully resolved the implications of the required attenuation on filter order, nor have they clarified the specific type of filter that best meets the design requirements. There are also unresolved mathematical steps in the calculations presented.

funjoke88
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• No ripple can exist in the output, but non-linear phase shift is allowed.
• The frequency response must be as close as possible to the ideal filter response.
• Signals of frequency 0 ~ 5 KHz are only allowed to pass through the filter with a desired gain of 4dB . Other frequencies should reduce at least 100 times of gain for every 10 times of frequency increase.
• Capacitor of 0.01uF must use in the active filter design due to its high availability in the stock.
• Minimize offset error of your design


how to determine it and i don't know how to start it ?
 
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funjoke88 said:
• No ripple can exist in the output, but non-linear phase shift is allowed.
• The frequency response must be as close as possible to the ideal filter response.
• Signals of frequency 0 ~ 5 KHz are only allowed to pass through the filter with a desired gain of 4dB . Other frequencies should reduce at least 100 times of gain for every 10 times of frequency increase.
• Capacitor of 0.01uF must use in the active filter design due to its high availability in the stock.
• Minimize offset error of your design


how to determine it and i don't know how to start it ?

Start by listing the various choices for filter polynomial type. What are the characteristics of each? Which one(s) have ripple in the passband? Which one(s) don't?

Then look at the attenuation you need to have ("100 times for every 10 times frequency increase") -- what order filter are we talking about now? Is it a LPF, BPF or HPF?

Given all that information, start to sketch out ways to do the active filter... Show us your work.
 
Do you have access to a filter design handbook?
 
no ripple means butterworth, 4 db means this is HPF

fc=1/2pie RC=7957OHM
Apb =4
20logApb=4
Apb-1.585

Rf=Rapb=7957 x 1.585 =12.6kohm

Apb=1+Rf/Rs
1.585=1/(12.6k/Rs)
Rs=21.54kohm


i just know this few steps .if there any mistake
 

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