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Obtain the F.S expression for the waveform shown in the figure,

Obtain the F.S expression for the waveform shown in the figure,

enter image description here

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Solution:

Cn=1T0t+T0tx(t)ejnω0t dt

=12π2π0x(t)ejnt dt

$ \begin{aligned} & =\frac{1}{2 \pi}\left(\int_0^\pi \mathrm{e}^{-j n t} \mathrm{~d} t-\int_\pi^{2 \pi} 2 \mathrm{e}^{-j n t} \mathrm{~d} t\right) \\\\ & =\frac{1}{-2 \pi j n}\left(\left(\mathrm{e}^{-j n \pi}-1\right)-2\left(\mathrm{e}^{-j n …

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