Question

If the input x[n] to this system has a period N=3, the output y[n] has _______________ nonzero Fourier series coefficient per period.

Answer 1

`w_(0)` =
`(2\pi )/(N)`

Explanation:

Fourier series is a periodic function which is composed of harmonically related variable. It is an infinite sum of sines and cosines. It makes use of orthogonality series of relation between sines and cosines. In the given question the Fourier series is non zero represented by omega. Pie function is used to determine the value and N is no. of periods.