Consider a continuous time periodic signal x(t) with fundamental period T and Fourier series coefficient X[k]. What is the Fourier series coefficient of the signal y(t) = x(t – t0) + x(t + t0) ?
1
\(2\cos \left( {\frac{{2\pi }}{T}K{t_0}} \right)X\left[ K \right]\)
2
\(2\sin \left( {\frac{{2\pi }}{T}K{t_0}} \right)X\left[ K \right]\)
3
\({e^{ - {t_0}}}X\left[ K \right] + {e^{{t_0}}}X\left[ { - K} \right]\)
4
\({e^{ - {t_0}}}X\left[ { - K} \right] + {e^{{t_0}}}X\left[ K \right]\)