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Consider the signal = 1 + sin + 3 cos + cos . Then Fourier series coefficients are __________ .

Answer» The signal x(n) = 1 + sinn 3 cos n + cos n + cos is periodic with period N, and we can expand x[n] directly in terms of complex exponentials to obtain Collecting terms, we find that Thus for Fourier series coefficients for this example are a0 = 1, a1 = + = -j, a-1 = - = +j, a2 = j, a-2 = -j.


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