Richard
You don't really need the Symbolic toolbox. MATLAB already have classes to define standard and custom probability functions. For instance to define the Gaussian pdf:
pd1=ProbDistUnivParam('normal',[0 3]);
Since plotting is windowing, you have to define the x range, and then obtain the values of the pdf to input to conv:
x=-10:.1:10;y1=pdf(pd1,x);
The second pdf:
pd2=makedist('Uniform');
pd2.Lower=0;pd2.Upper=4;
y2=pdf(pd2,x);
Now convolving y1 and y2
z=conv(y1,y2);figure(1);plot(x,y1,x,y2);figure(2);plot(z);
The use of function int suggested by Roger comes from the definition of the convolution, that can be obtained with symbolic parameters. But you will need to 'frame' or 'window' anyway when attempting any plot as you mention is your goal here.
Such answer, integrating along t the product pdf1(t)*pdf2(t-x), is explained in the question
with accepted answer by Ghada Saleh, following the key lines of that answer:
syms x b c t;
f1 = a*exp((-x)/(b))+1;
f2 = (1/(4*pi*c^2))*exp((-x^2)/(4*c^2));
f2_c = (1/(4*pi*c^2))*exp((-(t-x)^2)/(4*c^2)); %f2_c = f2(t-x)
result = int(f1*f2_c,t,-inf,inf);
Richard, please if you find my answer useful would you please be so kind to mark my answer as Accepted Answer?
To any other reader, if you find this answer of any help solving your question,
please click on the thumbs-up vote link,
thanks in advance
John BG
