Design 2nd order band Pass filter on MATLAB using any windowing technique , then find magnitude and phase response.

Design a second order Band pass filter on MATLAB having Band width= 5k Cut off frequencies Wc1= 5k and Wc2= 10k .Use any windowing technique(FDA toolbox is not required) to design this on MATLAB Then we have to find, frequency response (magnitude, and phase)

[Sam Chak]

Provide the mathematical formula of a second order Bandpass filter to fit the Bandwidth = 5k, Cut off frequencies Wc1 = 5k and Wc2 = 10k.

[Razzaq]

i dont have enough knowledge about this, so I asked for your help.

Kindly experts help me to solve it

[Sam Chak]

Oh, I see now, @Razzaq, you requested for help with complete sincerity, but at the same time your title in a professional setting sounds like instructing anyone to do your bidding. Would suggest you to edit the Title and the "Description of the Task", preferably in the Question format.

Suggestion: How to design a second-order Bandpass Filter with this formula in MATLAB?

You have to perform due diligence if you wish to "attract" meaningful answers from the Experts in Electrical & Electronics Engineering.

Coming back to your problem, not having enough knowledge is okay for the time being. Why not start searching your textbook in University Library, or a reference book in your Design Company, if you are tasked to design a Bandpass Filter?

I don't have a textbook on bandpass filter. After finding the mathematical formula, please post the formula here.

Answer 1

[Sam Chak]

Hi @Razzaq

Maybe it looks like this:

Flo  = 5e3;             % low cutoff, (rad/s)
Fhi  = 10e3;            % high cutoff
R1   = sqrt(1/(Flo));
C1   = R1;              % assumed, can be different
R2   = sqrt(1/(Fhi));
C2   = R2;              % assumed, can be different
tau1 = R1*C1;
tau2 = R2*C2;
tau3 = R2*C1;

% transfer function of 2nd-order Bandpass Filter
s = tf('s');
Gbp = - (tau3*s)/((tau1*s + 1)*(tau2*s + 1))

Gbp =
 
        -0.0001414 s
  ------------------------
  2e-08 s^2 + 0.0003 s + 1
 
Continuous-time transfer function.

w = linspace(1e3, 5e4, 1e5);
bode(Gbp, w)

[Razzaq]

kindly solve it using windowing technique

[Sam Chak]

Please show the mathematics of windowing technique. Go find it in your Signal Processing Textbook.

Guess you overlooked my comment above, requesting for more mathematical information.