Hi Soo,
I understand that you want to know how to define "dirac-delta" and "sigma" in MATLAB.
I suggest you to use "dirac" function to define the "dirac-delta" function. Although there is not any specific function to define "sigma" over a infinite range, you can use "sum" function to get a close approximation.
After you declare a range of values for "w", you can then use a for loop and store the values of "Sy(w)" in an array to plot your desired function.
Here is an example code showing how you can do it:
% Initializing with some Trash Values. Input your own data.
w = 0:100 ;
n = -100 : 100;
Tb = 0.6
Sy = zeros(1,length(w)); % Pre-allocating 'Sy' for faster computation
% Computing values of Sy. This is just a part of computation.
for i = 1:length(w)
Sy(i) = sum(dirac( w(i) - (2*pi*n)/Tb));
end
% Plot Sy against w
Please refer to the following documentation links to know more about:
- 'Dirac function': https://in.mathworks.com/help/symbolic/sym.dirac.html
- 'Sum function': https://in.mathworks.com/help/matlab/ref/sum.html