Chebyshev bandpass filter

1. What is Chebyshev bandpass filter?
2. What is the difference between Butterworth and Chebyshev filter?
3. What is special about Chebyshev filter?
4. Which one is better Butterworth or Chebyshev?

What is Chebyshev bandpass filter?

Chebyshev filters are analog or digital filters that have a steeper roll-off than Butterworth filters, and have either passband ripple (type I) or stopband ripple (type II).

What is the difference between Butterworth and Chebyshev filter?

As has been emphasized, a Butterworth filter has a maximally-flat pass-band response and the Chebyshev family of filters provides a good attenuation slope. On some occasions the ripples of a Chebyshev filter are not tolerable and the attenuation slope of a Butterworth filter is inadequate.

What is special about Chebyshev filter?

The primary attribute of Chebyshev filters is their speed, typically more than an order of magnitude faster than the windowed-sinc. This is because they are carried out by recursion rather than convolution. The design of these filters is based on a mathematical technique called the z-transform, discussed in Chapter 33.

Which one is better Butterworth or Chebyshev?

An important property of the Butterworth filter is the gain flatness in the passband. It has a realistically good phase response. Butterworth filter has a poor roll-off rate. On the other hand Chebyshev has a better (steeper) roll-off rate because the ripple increases.