Fourier Series of Real Part of a Continuous-Time Signal
The Fourier series for the signal Re{x(t)} can be found by taking the real part of each term in the Fourier series of x(t). Therefore, the Fourier series for Re{x(t)} would be:
Re{ak * exp(jkω0t)} = ak * cos(kω0t)
where ω0 is the fundamental frequency of the signal and k is an integer.
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