Question

Task 1 Generate a time vector (series) “t' which contains the number 0 to 9. i.e 0 st 10 with a step size of 1 Repeat the experiment with a step size of 0.01. (1.5 marks)

solve using scilab
show codes

Answer 1

a)Scilab program:
// signals
f1=20;
t=0:0.005:0.1;
A1=2;
X1=A1*sin(2*%pi*f1*t);
figure(1);
subplot(2,1,1);
plot(t,X1);
title( 'Signal 1 ');
xlabel( 't−−>');
ylabel( 'X1(t)−−>');

f2=40;
t=0:0.005:0.1;
A2=4;
X2=A2*sin(2*%pi*f1*t);
subplot(2,1,2);
plot(t,X2);
title( 'Signal 2');
xlabel( 't−−>');
ylabel( 'X2(t)−−>');

Signal 1 2 1 <--(0) IX -1 2 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 tー-> Signal 2 4 2 X2(t)> -4 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 tー->

b)

To complete one cycle of x1(t), it takes 0.05s
Number of cycles per second=20
Time for one cycle*Number of cycles expected = 0.05* 20 =1s

To complete one cycle of x2(t), it takes 0.025s
Number of cycles per second=40
Time for one cycle*Number of cycles expected = 0.025* 40 =1s

Yes . The frequency of the signals match with the obtained waveforms.