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Fourier series coefficients for CT signal

CT Signal

$ \, x(t)=6sin(6t) $

Fourier series coefficients

$ x(t)=\sum_{k=-\infty}^\infty a_k e^{jk\omega_0 t} $

$ \, x(t)=6sin(6t) = 6\cdot\frac{e^{j6t}-e^{-j6t}}{2j}=3(e^{j6t}-e^{-j6t}) $

$ \, x(t)=3e^{j6t}-3e^{-j6t} $

$ \, a_1 = 3\ ,\ a_{-1} = 3 $

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