Example of Computation of Fourier series of a CT SIGNAL

A practice problem on "Signals and Systems"


Define a CT Signal and its Fourier Series Coefficients

Periodic CT Signal: x(t) = 5cos(6t) + 2sin(3t)

= $ 5 * \frac {e^{j6t} + e^{-j6t}}{2} + 2 * \frac {e^{j3t} - e^{-j3t}}{2j} $

= $ \frac{5}{2} * e^{j6t} - \frac{5}{2} * e^{-j6t} + j * e^{j3t} -j* e^{-j3t} $

$ a1 = \frac {5}{2} $

$ a-1 = \frac{5}{2} $

a2= a-2 = j


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