ASN3 - Show graphically that the exponential funtion shifted equals to the delta function shifted

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Problem Statement

HW #3 - Show graphically that $\int _{-\infty }^{\infty }e^{j2\pi f(t-u)}\,df=\delta (t-u)$

Solution

Octave Script

u = [5,5,5,5,5,5,5,5,5,5,5]

f=[0:1:10]

y=(exp(j*2*pi()*(f-u)),f,0,10);

plot(y,'-'),title('delta')

Graphical Result