Plotting the convolution of two signals

Question

Dennis 2014-10-23

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https://ww2.mathworks.cn/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals

评论： Celeste MacNeil 2018-10-14

I am given two functions x(t) =5[u(t+1)-u(t-1)] and h(t)=u(t-1)-u(t-7). I am asked to convolve these two signals and plot the result in the range -3 to 10. Here is the code that I wrote:

t=-3:0.1:10; t_c=-3:0.05:10; h_t=heaviside(t-1)-heaviside(t-7); x_t1=5.*(heaviside(t+1)-heaviside(t-1)); c_x_h=conv(x_t1,h_t); figure(1) plot(t_c,c_x_h)

However, since this is a simple convolution I verified it by hand and it does not look like the plot i get in MATLAB. The max value should be 10 but in MATLAB i get 100. Also, the duration of the function should be 8 but i get 4 with MATLAB. Please help.

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Answer 1

Rick Rosson 2014-10-23

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https://ww2.mathworks.cn/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_156280

在 MATLAB Online 中打开

Please try:

t_c = -6:0.1:20;

and:

   dt = t(2) - t(1);
   c_x_h = dt*conv(x_t1,h_t);

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Celeste MacNeil 2018-10-14

What do you mean dt = t(2)-t(1)?

Celeste MacNeil 2018-10-14

I assume you just mean the step?

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Answer 2

IKRAM jebali 2017-3-31

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https://ww2.mathworks.cn/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_261185

Hello! Thank you. I'had the same problem. Me too amnclear as to why the dt is needed though and why t_c needed to be extended to -6 to 20. I use it but i don't know why? There is any answer please. Thank you.