Digital Butterworth Filter Design

We designed the Digital Butterworth Filter using Scilab. Both Butterworth LPF and HPF have been designed. The Passband Attenuation(Ap), Stopband Attenuation(As), Analog Passband frequency(fp), Analog Stopband frequency(fs) and Sampling frequency(F) were entered as inputs. The order and transfer function of the filter were calculated. The magnitude spectrum and pole zero plot were also observed. There were no ripples seen in the passband or in stopband. Butterworth filter has all its poles inside the unit circle. Hence the filter is stable.

 Originally posted at: https://chaitanya33.wordpress.com/2017/04/12/digital-butterworth-filter-design/

Comments

  1. $oM€$hApril 26, 2017 at 1:20 AM

    has low roll off

    ReplyDelete
    Replies
    1. Chaitanya SApril 29, 2017 at 5:52 AM

      The roll-off factor is a measure of the excess bandwidth of the filter

      Delete
  2. SiddheshApril 26, 2017 at 7:39 AM

    Quick roll-off around the cutoff frequency, which improves with increasing order.

    ReplyDelete
  3. UnknownApril 26, 2017 at 12:05 PM

    What was the sampling frequency that was used?

    ReplyDelete
  4. NehaApril 26, 2017 at 9:17 PM

    Butterworth filter has higher order than chebyshev filters

    ReplyDelete
  5. UnknownApril 27, 2017 at 2:01 AM

    But why butter?

    ReplyDelete
    Replies
    1. Ankur MahadikApril 29, 2017 at 12:16 AM

      because butter has the capability to give smooth response

      Delete
  6. jaysApril 27, 2017 at 2:23 AM

    What is passband attenuation ?

    ReplyDelete
    Replies
    1. Chaitanya SApril 29, 2017 at 5:58 AM

      It is the attenuation of the gain of a signal in dB at passband frequency

      Delete
  7. UnknownApril 27, 2017 at 8:23 AM

    This comment has been removed by the author.

    ReplyDelete
  8. DHRUV.ZApril 28, 2017 at 6:41 AM

    👍

    ReplyDelete
  9. UnknownApril 28, 2017 at 10:57 AM

    Not linear phase

    ReplyDelete
  10. UnknownApril 28, 2017 at 11:33 AM

    Butterworth filter is also called maximally flat magnitude filter

    ReplyDelete
    Replies
    1. Chaitanya SApril 29, 2017 at 6:02 AM

      Yes because the gain function of the Butterworth filter has no ripple.

      Delete
  11. Ankur MahadikApril 28, 2017 at 11:36 AM

    Butterworth is simplest of all

    ReplyDelete

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