Let x[n] be a real periodic signal with period N and Fourier coefficients (a) Show th...

Let x[n] be a real periodic signal with period N and Fourier coefficients

(a) Show that if N is even, at least two of the Fourier coefficients within one period of are real.

(b) Show that if N is odd, at least one of the Fourier coefficients within one period of is real.