I need to find the complex Fourier Series of this function:



Essentially, I need to find Cn of this:



Can anyone help me understand how to do this? I'm not very familiar with the Fourier Series.

e/ I also need to find the Fourier transform of x(t). I know the Fourier transform of the rect() function is the sinc() function, but how does the summation on the rect() function affect this?

This post was edited by KitsuneYosh on Jan 28 2018 10:48am

Fourier Series

rect

Essentially a rect function is an infinite summation of sinusoids.

AND

The exponential can be expanded using Euler's Rule (or Law?).

So basically the exponential summation is the same function as the rect function at any time shifted value.

Not sure if this helps but yea

finding formulas that are easy to read and understand is a good place to start

I've used fourier for two straight years and I have literally no clue what that is that I'm looking at