Example of Computation of Fourier series of a CT SIGNAL

A practice problem on "Signals and Systems"


CT Periodic Signal

$ x(t)=2cos(\pi/2 t)+3 \, $
$ T=\dfrac{2\pi}{4} \, $
$ T=\pi/2 \, $
$ x(t)=2\dfrac{e^{.5 j t \pi}-e^{-.5 j t \pi}}{2}+3 $
$ x(t)=e^{.5 j t \pi}-e^{-.5 j t \pi}+3e^{.5 \pi*0} \, $
a-1=1
a0=3
a1=1
a2=0
a3=0
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