# How to make bode plot of transfer function?

Hello, i am trying to make a bode plot of the transfer function of a twin-t notch filter, that i am analyzing. I was able to produce the transfer function, and the bode plot by hand, but i am struggling to do it in Matlab, here is what i have so far:

`r=320; %Resistance`

c=100*10^-9; %Capactiance

p=(1/(r.*c)); %Beta

a=0.95; %Signma, adjusts the wiper of a potentiometer

f=(5000); %Target Frequency

s= (1i*f);

h=((s^2 + p^2) ./ (s^2+4*p*s*(1-a)+p^2)); %Transfer function

mh=abs(h); %Magitude of h

ah=angle(h); %Phase angle of h, in rads.

I am trying to plot the body function, and here is one i made for the transfer function H=2/(s+1):

`% Example Transfer Function: g(s) = 2/(s+1)`

% Numerator num = [2]; % Denominator den = [1 1];

% Transfer Function G = tf(num, den)

% Plot Frequency Response bode(G), grid

My question is, how would i represent the numerator and the denominator, since they are both powers of of s, which from my understanding the computer understands as s=jw, and thus i solved the transfer function as such. I have tried to understand how exactly the bode function takes it inputs, but i am not understanding that…

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Your transfer function would use:

`num = [1 0 p^2];`

den = [1 4*p*(1-a) p^2];

I’m certain you can take it from there.

Also, remember that the bode function can output the results of its computations, and the bodeplot function allows you to tweak its behaviour.

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