# step and impulse response of a system

5 visualizaciones (últimos 30 días)
SSBGH el 13 de Nov. de 2022
Editada: Bhavana Ravirala el 22 de Feb. de 2023
i have a question which is the following:
impulse respone of a system is h(t) =( exp(-0.05*t) )
Excitation of a system is x(t) = u(t)*cos(2*pi*t)
1-in subplot 1 show the impulse respone of the system
2-in subplot 2 show the Excitation of the system
3-in subplot 3 show the response of the system
4-in subplot 4 show the step response of the system
where t range is from 0...100
code:
t = 0:100;
u = heaviside(t);
impulse = [];
excitation = [];
for i =1:numel(t)
impulse(i)= exp(-0.05*t(i));
end
for i =1:numel(t)
excitation(i) = u(i).*cos(2.*pi.*t(i));
end
subplot(2,2,1)
plot(t,impulse)
title('impulse response')
subplot(2,2,2)
plot(t,excitation)
title('excitation')
c = conv(excitation,impulse,"same");
subplot(2,2,3)
plot(t,c)
title("Response")
step = conv(u,impulse,"same");
subplot(2,2,4)
plot(t, step)
title("Step Response")
i'm not sure that the solution is correct because i'm getting the response of the system and step response figure both the same, so any ideas whether the solution is good or no?
##### 0 comentariosMostrar -1 comentarios más antiguosOcultar -1 comentarios más antiguos

Iniciar sesión para comentar.

### Respuestas (1)

Bhavana Ravirala el 16 de Nov. de 2022
Editada: Bhavana Ravirala el 22 de Feb. de 2023
Hi,
I understand that you are trying to plot step and impulse response of the system. As the range of ‘t’ is from 0 to 100 you can use “linspace” command. By using these ‘t’ values we will get proper cos signal. And for loops are not required to generate impulse and excitation signals.
t=linspace(0,100); % getting the t values from the linspace command
u=heaviside(t);
excitation=u.*cos(2*pi.*t);
impulse=exp(-0.05*t);
subplot(2,2,1)
plot(t,impulse)
title('impulse response')
subplot(2,2,2)
plot(t,excitation)
title('excitation')
c = conv(excitation,impulse,"same");
subplot(2,2,3)
plot(t,c)
title("Response")
step = conv(u,impulse,"same");
subplot(2,2,4)
plot(t, step)
title("Step Response")
##### 0 comentariosMostrar -1 comentarios más antiguosOcultar -1 comentarios más antiguos

Iniciar sesión para comentar.

### Categorías

Más información sobre Digital Filter Analysis en Help Center y File Exchange.

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by