3rd order low pass Butterworth active filter

  • Thread starter tinhnho
  • Start date
  • Tags
    Filter
In summary, the conversation was about designing a 3rd order low pass Butterworth active filter with a cutoff frequency of 8khz. There was some discussion about the possibility of a 3-pole Butterworth filter and the necessary components for achieving a Butterworth filter. The final suggestion was to use a first and second stage with specific R and C values to achieve the desired filter.
  • #1
tinhnho
21
0
Hi everyone

Does anyone know how to design a 3rd order low pass Butterworth active filter with a cutoff frequency of 8khz ? thanks

p/s: Attachment below is what i have
 

Attachments

  • circuit.doc
    25 KB · Views: 439
Engineering news on Phys.org
  • #2
When you say "3rd order" do you mean 3-pole? I have never seen a 3-pole Butterworth filter, and doubt that such a thing exists.

- Warren
 
  • #3
3rd other butterworth polynomial:
(s+1)(s^2+s+1)

4th order:
(s^2+.765s+1)(s^2+1.848s+1)

etc...
 
  • #4
Your first stage is a second order filter and the second stage is a first order filter. In each stage you should choose R and C such as 1/RC = 2πx8x103.
Only, in order to have a Butterworth filter you should not have a unit gain amplifier in the first stage. According to your table, the gain of that stage should be 3 - 1 = 2.
 

1. What is a 3rd order low pass Butterworth active filter?

A 3rd order low pass Butterworth active filter is an electronic circuit designed to attenuate or reduce high frequency signals while allowing low frequency signals to pass through. It is called "Butterworth" because it follows the mathematical transfer function developed by Stephen Butterworth, which results in a maximally flat frequency response in the passband.

2. How does a 3rd order low pass Butterworth active filter work?

A 3rd order low pass Butterworth active filter works by using active components such as operational amplifiers (op-amps) to amplify and filter the input signal. The op-amps are configured in a specific circuit arrangement to create a filter with a cutoff frequency, which is the frequency at which the signal starts to be attenuated.

3. What are the advantages of using a 3rd order low pass Butterworth active filter?

The advantages of using a 3rd order low pass Butterworth active filter include a maximally flat frequency response in the passband, good attenuation of high frequency signals, and the ability to adjust the cutoff frequency. It also has a steeper roll-off compared to lower order filters, allowing for better suppression of unwanted high frequency signals.

4. What are the applications of a 3rd order low pass Butterworth active filter?

A 3rd order low pass Butterworth active filter is commonly used in electronic communication systems, audio equipment, and instrumentation to eliminate high frequency noise and interference. It is also used in power supplies to remove ripple or noise from the output voltage.

5. What are the potential drawbacks of using a 3rd order low pass Butterworth active filter?

One potential drawback of using a 3rd order low pass Butterworth active filter is that it introduces phase shift in the output signal, which can affect the accuracy of the filtered signal. It also requires the use of active components, which can be more expensive and require a power source compared to passive filters. Additionally, the steep roll-off of the filter can cause distortion in the passband if the cutoff frequency is set too close to the desired frequency.

Similar threads

  • Electrical Engineering
Replies
4
Views
296
  • Electrical Engineering
2
Replies
51
Views
7K
  • Electrical Engineering
Replies
1
Views
2K
Replies
1
Views
654
  • Electrical Engineering
Replies
5
Views
2K
  • Electrical Engineering
Replies
6
Views
1K
  • Electrical Engineering
Replies
15
Views
1K
Replies
8
Views
1K
Replies
2
Views
1K
Replies
8
Views
3K
Back
Top