A second order analog Butterworth filter has a transfer function (a) Is the half power frequency of this filter Icirc copy shy hp 1 rad sec (b) To obtain a discrete Butterworth filter we choose the bilinear transformation What is the half power frequency of the discrete filter (c) Find the transfer...

a The dc gain is Hj0 1 and the gain at 1 is so that 1 is the halfpower frequency b K matc ...

A second-order analog Butterworth filter has a transfer function (a) Is the half-power frequency of this filter

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A second-order analog Butterworth filter has a transfer function

H(s : s2 + V2s + 1

(a) Is the half-power frequency of this filter Î©_hp = 1 rad/sec?

(b) To obtain a discrete Butterworth filter we choose the bilinear transformation

-1 s = K- ,K = 1 -1' 1+z

What is the half-power frequency of the discrete filter?

(d) Plot the poles and zeros of H(s) and H(z). Are both of these filters BIBO stable?

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Signals and Systems using MATLAB

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2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 29, 2018 07:14 AM

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A second-order analog Butterworth filter has a transfer function (a) Is the half-power frequency of this filter

Question:

H(s : s2 + V2s + 1 -1 s = K- ,K = 1 -1' 1+z

Step by Step Answer:

a The dc gain is Hj0 1 and the gain at 1 is so that 1 is the halfpower frequency b K matc...View the full answer

Signals and Systems using MATLAB

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