Question

4. Apply the periodic signal of Problem 1 to a system (the RC circuit discussed in class with the position of the two oRC H(jo) components flipped) for which爪r)-l+JRC·Use MATLAB to plot the output signal 0 (which corresponds in this case to the resistor voltage) for three cases, namely RC-sec, RC-10sec, and RC-0.1 see. Compare the output to the input signal and discuss the amount of distortion that is observed and why in some cases there is more distortion than in other cases

Please attach matlab code and figures

Answer 1

1)

clc;close all;clear all;
RC=1
b=[RC 0]
a=[RC 1]
sys=tf(b,a)
t=0:pi/100:pi;
x1=(exp(-t/RC));
tt=linspace(-3*pi,3*pi,6*length(x1));
x=[-x1 x1 -x1 x1 -x1 x1];
subplot(211)
plot(tt/pi,x,'r')
xlabel('t')
title('x(t) for RC=1')
ylabel('x(t)')

y=lsim(sys,x,tt)

subplot(212)
plot(tt/pi,y,'b')
xlabel('t')
title('y(t)')
ylabel('y(t)')

x(t) for RC=1 X(t) । | 2 3 y(t) |

clc;close all;clear all;
RC=10
b=[RC 0]
a=[RC 1]
sys=tf(b,a)
t=0:pi/100:pi;
x1=(exp(-t/RC));
tt=linspace(-3*pi,3*pi,6*length(x1));
x=[-x1 x1 -x1 x1 -x1 x1];
subplot(211)
plot(tt/pi,x,'r')
xlabel('t')
title('x(t) for RC=10')
ylabel('x(t)')

y=lsim(sys,x,tt);

subplot(212)
plot(tt/pi,y,'b')
xlabel('t')
title('y(t)')
ylabel('y(t)')

, y(t) X(t) x(t) for RC=10

clc;close all;clear all;
RC=0.1
b=[RC 0]
a=[RC 1]
sys=tf(b,a)
t=0:pi/100:pi;
x1=(exp(-t/RC));
tt=linspace(-3*pi,3*pi,6*length(x1));
x=[-x1 x1 -x1 x1 -x1 x1];
subplot(211)
plot(tt/pi,x,'r')
xlabel('t')
title('x(t) for RC=0.1')
ylabel('x(t)')

y=lsim(sys,x,tt);

subplot(212)
plot(tt/pi,y/abs(max(y)),'b')
xlabel('t')
title('y(t)')
ylabel('y(t)')

x(t) for RC=0.1 X(t) 3