Question about (exponential functions)*(delta function) and draw plots

I want to use matlab to draw a graph of y=e^(alxl+b)*delta function. And enter different values ​​of a and b to see how this graph looks like, what should I do? Thanks!

Note delta function:

Answer 1

[Lucien Hollins]

Hi I understand you would like help with plotting the delta function.

As you mentioned in your question, the delta function returns inf when x = 0 and 0 for every other value of x. This will result in your function returning something like

y = Inf 0 0 0 0 0 0 0 0 0

regardless of what values you choose for a and b. However, I think you may be interested in using a stem plot to view your function as a series of impulses.

a = linspace(.01,.5,10);
b = linspace(.2,2,10);
x = 1:1:length(a);
y = exp(a.*abs(x)+b);
stem(x,y)

Here, I have arbitrarily assigned 10 values to a and b; however, you can specify any equal-sized vectors for these variables.

If you have access to the Symbolic Math toolbox, you may find these other options helpful:

Dirac delta function - MATLAB dirac (mathworks.com)

Kronecker delta function - MATLAB kroneckerDelta (mathworks.com)