Question

MATLAB only

Use MATLAB to Plot the different representations of the Dirac Delta Function δ(x). Provide FIGURES.

Answer 1

Plot for different representations:

f1(blue), f2(red), f3(yellow), where functions are defined in MATLAB code below:

MATLAB Code:

x = linspace(-0.5,0.5,1000);
f1=zeros(1,1000);
f2=zeros(1,1000);
f3=zeros(1,1000);

e=0.04;
for i=1:1000
    if(x(i)>-e)&&(x(i)<e)
        f1(i)=1.0/(2.0*e);
    else
        f1(i)=0.0;
    end
end
plot(x,f1)

hold on;

e=0.001;
for i=1:1000
    f2(i)=exp(-(x(i)*x(i))/(2*e))/sqrt(2*pi*e);
end
plot(x,f2)

hold on

hold on;

e=0.001;
for i=1:1000
    f2(i)=exp(-abs(x(i))/e)/sqrt(2*e);
end
plot(x,f2)