Pulse function with matlab

I need to do the follwing, but i am relatively new so i want to make sure it's right

Generate a pulse function with a pulse width 1 second as an input function, x(t), and use the same exponential decay function as impulse response function, h(t). Using MATLAB to calculate the output of the system y(t).

      t = 0 : 1/1000 : 1;
      u=0*t;
      h=exp(-t/2); 
      y = rectpuls(t);
      b=conv(h,y);
      plot(b)
ohh i am lost

[Paulo Silva]

Could it be something like this:

t = 0 : 1/1000 : 1;

u=ones(1,numel(t));

h=exp(-t/2);

b=conv(h,u);

c=conv(b,h);

plot(c)

[Paulo Silva]

clc;clear;clf

t = 0.001 : 1/1000 : 3;

u=[zeros(1,1000) ones(1,numel(t)/3) zeros(1,1000)];

h=exp(-t/2);

b=conv(u,h);

c=conv(h,b);

hold on

plot(c./1000000)

plot(u,'r')

plot(h,'g')

legend('output','pulse','exponential decay')

[gedaa]

hey paulo, now for "u", the width is one second, not amplitude, or am i understanding it correctly

[Paulo Silva]

I always assume that the amplitude is 1 and you didn't specify other value for it did you?

[Paulo Silva]

If you want to change the amplitude just

Amp=1; %select here the amplitude of u

u=[zeros(1,1000) Amp*ones(1,numel(t)/3) zeros(1,1000)];

[gedaa]

no i think i will leave the amplitude since it doesn't specifiy as you said, but, if i wanted to change instead of one second width, to 0.1 second, i would change all the 1000 to 100, right?

[Paulo Silva]

clc;clear;clf

T=1000; %value in miliseconds, 1000->1 second, 100->0.1 second

t = 1/T : 1/T : 3;

Amp=1 %amplitude of the pulse

u=[zeros(1,T) Amp*ones(1,numel(t)/3) zeros(1,T)];

h=exp(-t/2);

b=conv(u,h);

c=conv(h,b);

hold on

plot(c./1000000)

plot(u,'r')

plot(h,'g')

legend('output','pulse','exponential decay')

[gedaa]

thank you sooo much, ur the best

Answer 1

[voona srikar]

t = 0 : 1/1000 : 1;

u=0*t;

h=exp(-t/2);

y = rectpuls(t);

b=conv(h,y);

plot(b)