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Differentiate between Butterworth and chebyshev filter

Butterworth Filter | Chebyshev Filter |
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For a particular desired specification of a digital filter the order of butterworth filter will be higher than chebyshev filter | For a particular desired specification of a digital filter the order of chebyshev filter will be lower as compared to butterworth filter |

For a particular specification butterworth filter requires more hardware | For a particular specification chebyshev filter requires less hardware |

This filter has cutoff frequency not equal to passband frequency $\Omega_{c}=\Omega_{p} /\left(\frac{1}{A_{p}^{2}}-1\right)^{\frac{1}{2 N}}$ | This filter has cutoff frequency equal to passband frequency $\Omega_{c}=\Omega_{p}$ |

The transition band of butterworth filter is wider as compared to chebyshev filter | The transition band of chebyshev filter is narrow as compared to butterworth filter |

All poles of filter will always lie on circle having radius $r =\Omega_{c}$ | All the poles of a filter will lie on ellipse having major axis 'R', '$\zeta$', minor axis 'r' |

Butterworth filter has no ripples either in passband or stopband | Chebyshev filter will have ripples either in stop band or passband |

Butterworth filter does not have any type | It has two type i.e Type 1= Ripple in passband and Type 2=Ripple in stopband |

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