The DTFT of a sequence x[n] is given by $$X(e^{j \omega})$$.since $$X(e^{j \omega})$$ is period function of $$\omega$$,it can be expressed classical Fourier series as $$X(e^{j \omega})= \sum_{n=-\infty}^\infty c_{n} e^{jn \omega_{o} \omega}$$ where $$\omega_{o}$$ is a fundamental frequency. Which of the following statement is correct?

A

$$\omega_{0}= \pi, C_{n}=-x[n]$$

B

$$\omega_{0}= \pi, C_{n}=x[-n]$$

C

$$\omega_{0}= 1, C_{n}=x[-n]$$

D

$$\omega_{0}= 1, C_{n}=-x[-n]$$