Properties of Fourier series coefficients Figure 230 shows t

(Properties of Fourier series coefficients) Figure 2.30 shows the magnitude and phase spectra of three continuous-time periodic signals. (a) For each signal, determine whether the signal is real or complex. Explain. (b) Which signal is a real-valued and even function? Which signal is a real-valued and odd function? Explain.

Solution

a) 2nd and 3rd signals are real signals because it\'s magnitude and phase spectra is symmetrical about y axis.that means the conjugate of signals getting same Fourier series coefficients.so these are real.first one is complex.

b)both signals 2and 3 are even signals.