Please help me the question about discrete time unit step function and convolution

I want to make two discrete time functions and then calculate their convolution and plot it.

how do i do it?

h[n] = 0.8^n{u[n − 2] − u[n − 11]} and x[n] = 2{u[n + 2] − u[n − 10]}.

y[n]=(x[n])convolution(h[n])

I am stucked for a long time.Please help me.

Answer 1

[Sai Pavan]

Hi Min-Da Yu,

I understand that you are trying to make two discrete time functions, convolve them and plot the output.

• You can create an array for n and use array indexing to make the step function. Please refer to the below documentation to learn more about array indexing: https://www.mathworks.com/help/matlab/math/array-indexing.html
• You can use arithmetic operations to create the h and x discrete time signals. Please refer to the below documentation to convolve the two discrete time vectors: https://www.mathworks.com/help/matlab/ref/conv.html#:~:text=Create%20two%20vectors%20and%20convolve%20them.
• Please refer to the below documentation to learn how to plot the resulting discrete signal (y): https://www.mathworks.com/help/matlab/ref/plot.html
• A preferred alternative for plotting discrete time signals is “stem” plot. Please refer to the below documentation to learn more about stem plot: https://www.mathworks.com/help/matlab/ref/stem.html

Hope it helps.

Regards,

Sai Pavan