Digital Chebyshev Filter Design

We designed the Digital Chebyshev Filter using Scilab. Both Chebyshev LPF and HPF have been designed. We have plotted magnitude spectrum just like in case of Butterworth filter design. Ap, As, fp, fs and F have been entered and order of the filter and its transfer function were calculated. But in this case unlike the Butterworth filter plot, ripples were observed in the passband while the stop band was monotonic. The number of transitions in ripples signifies the order of the filter. It was also observed that the order of the filter was less in Chebyshev as compared to Butterworth for the same inputs. Hence Chebyshev filter requires less hardware.

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

Comments

  1. SiddheshApril 26, 2017 at 7:36 AM

    It is easy to find the order of the filter.

    ReplyDelete
    Replies
    1. Chaitanya SApril 29, 2017 at 6:05 AM

      Yes. We can count the ripples to find the order

      Delete
  2. SiddheshApril 26, 2017 at 7:46 AM

    The Chebyshev filter is named after Pafnuty Chebyshev, who developed the polynomials on which the filter design was based.

    ReplyDelete
    Replies
    1. Chaitanya SApril 29, 2017 at 6:07 AM

      Chebyshev is known for his work in the fields of probability, statistics, mechanics, and number theory.

      Delete
  3. NehaApril 26, 2017 at 9:16 PM

    Chebyshev has lesser order, so it is easy to implemet

    ReplyDelete
  4. UnknownApril 27, 2017 at 1:59 AM

    This comment has been removed by the author.

    ReplyDelete
  5. UnknownApril 27, 2017 at 9:12 AM

    Great job explaining

    ReplyDelete
  6. UnknownApril 28, 2017 at 10:54 AM

    Less memory required fro storage of
    coefficients.

    ReplyDelete
  7. UnknownApril 28, 2017 at 11:36 AM

    The minimum order of chebyshev filter is 2

    ReplyDelete
  8. UnknownApril 28, 2017 at 11:54 AM

    Analog to digital filer conversion can also be done by IIM.

    ReplyDelete
  9. Chaitanya SApril 29, 2017 at 6:08 AM

    Yes

    ReplyDelete
  10. Chaitanya SApril 29, 2017 at 6:08 AM

    Thank you

    ReplyDelete

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