An aperiodic signal x(t) = 2sinc(2t) is multiplied by a periodic rectangular pulse train s(t) with fundamental frequency F0 = 4 Hz and the fundamental rectangular pulse given by p(t) = 1, 1/80 t 1/80 0, otherwise to obtain a signal xs(t) = x(t)s(t).
(a) Compute and plot the CTFT X( j2F) over the |F| ? 80 range in Hz.
(b) Compute and plot the CTFS coefficients ck over the |F| 80 range in Hz. (c) Compute Xs( j2F) using (4.62) and plot it over the |F| 80 range in Hz.