- #1

ace1719

- 23

- 2

## Homework Statement

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