Question

For the Fourier series of a real valued signal which of the following is correct?

• A. The phase pat of complex spectrum is even symmetric
• B. The spectrum of real Fourier series is even symmetric
• C. The phase spectrum does not have any information if the signal is even.
• D. The magnitude part of complex spectrum is odd-symmetry

Answer 1

The correct option is C The phase spectrum does not have any information if the signal is even.

The complex magnitude spectrum is always even symmetric.

The spectrum of real Fourier series is one sided.

The complex phase sepctrum is odd symmetry.

If Real of x(t) is even then $b_n=0$

$\therefore$ Phase defined as $-ta{n}^{-1}\left[\frac{b_n}{a_n}\right]=0$

Hence, no information in the phase spectrum.