Question

DESIGN:

a. Design 4-th order Butterworth low-pass ?lter with cuto? frequency of 109 rad/s

b. Design 4-th order Chebyshev Type I low-pass ?lter with cuto? frequency of 109 rad/s.

c. Design 4-th order Chebyshev Type II low-pass ?lter with cuto? frequency of 109 rad/s.

d. Design 4-th order Elliptic low-pass ?lter with cuto? frequency of 109 rad/s.

Answer 1

Hello,
          Please find the answer to the 1st question attached as under. Please give a thumbs up rating if you find the answer useful! Have a rocking day ahead!

NOTE: I have designed the filter in matlab:

Matlab Code:

%%%%%%%%%%%%%%%%%%%%%%%%
%% butterworth filter design

fc = 109/(2*pi);
fs = 1000;

[b,a] = butter(4,fc/(fs/2))
freqz(b,a)

*****************

Output:

Filter coefficients:

b =

   1.0e-04 *

    0.0768    0.3072    0.4609    0.3072    0.0768

a =

    1.0000   -3.7152    5.1856   -3.2222    0.7520

Filter freq response: