Calculate and plot the amplitude phase response of this filter as a function of frequency

The ratio of output and input voltage of a high pass filter is given by :

 V0/Vi = (j*2pi*f*r*c)/(1+j*2pi*r*c).

Assume that r=16 kohm and c=1 micro f .Calculate and plot the amplitude phase response of this filter as a function of frequency ?

Answer 1

[Honglei Chen]

You already have the frequency response, so all you need to do is to plug in the frequency vector, f, based on your requirement and do abs and angle of it. For example

r = 16; c = 1;
H = @(f) (1i*2*pi*f*r*c)./(1+1i*2*pi*r*c);
f = 0:100;
P = H(f);
subplot(211),plot(f,20*log10(abs(P)));
subplot(212),plot(f,angle(P));

HTH