Relationship between Fourier series Coefficients and F Transform

[ace1719]

Homework Statement

"Suppose x[n] is a DT (discrete time) periodic signal with fundamental period N. Let us define x$_{n}$[n] to be x[n] for n ε {0, 1,2, ... , N-1} and zero elsewhere. Denote the Fourier transform of x$_{n}$[n] with X$_{n}$[e^jω]. How can one find the Fourier Series coefficients a$_{k}$[n] from X$_{n}$[e^jω]? Using the provided connection show that Fourier Series coefficients are indeed periodic with period N."

Homework Equations

None.

The Attempt at a Solution

By "provided connection" I think my TA meant the answer from the first part of the question, ie. finding the relationship between FS and FT.

I am not entirely sure which Fourier coefficients we are supposed to link, those for x[n], or x$_{n}$[n].

I know the expressions for the Fourier coefficients and Fourier transform, but as with much of what this TA gives us, I don't know where to begin otherwise.

 

[ace1719]

Anyone? I'm still stuck with this one.