Fourier Series of a function the is exponential

Question

Salik Mallick 2020-10-4

编辑： Salik Mallick 2020-10-7

Is there a Fourier Series for this function ?

graph is only showing y = 1

%% Problem 17.1_e

display('Problem 17.1_e')

syms t

A = 1.00;

B = exp(-t*pi*i);

C = exp(-t*pi*2*i)/2;

D = exp(-t*pi*3*i)/3;

f = A + B + C + D

ezplot(f,[0,(5*pi)/2]), grid on

Answer 1

Bjorn Gustavsson 2020-10-4

Think about this question like this:

What is the Fouriertransform of a harmonically varying signal with constant amplitude and frequency?

How does that Fourier-transform vary with frequency and phase-shift?

When you've answered those two questions you will be able to extend the answer to your signal.

HTH

Salik Mallick 2020-10-7

编辑：Salik Mallick 2020-10-7

Hello Mr. Gustavsson,

Please reference a few youtube videos for a better understanding of your own question. Thank you.