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The Fourier series coefficient of signal x(t) is CK, then what will be Fourier series coefficient of the signal, x(0.5t) + x(t – 0.5) + x(-2t)?

The Fourier series coefficient of signal x(t) is CK, then what will be Fourier series coefficient of the signal, x(0.5t) + x(t – 0.5) + x(-2t)? Correct Answer C<sub>K </sub>(1 + e<sup>-jω0.5k</sup>) + C<sub>-K</sub>

Time scaling will not affect the Fourier series coefficient.

x (0.5t) → CK

x (t – 0.5) → e-jω0.5k CK

x(-2t) → C-K

Fourier series coefficient of the given signal is

CK (1 + e-jω0.5k) + C-K

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