In each of the following, we specify the Fourier series coefficients of a signal that is
Chapter 3, Problem 3.29(choose chapter or problem)
In each of the following, we specify the Fourier series coefficients of a signal that is periodic with period 8. Determine the signal x[n] in each case.
(a) \(a_{k}=\cos \left(\frac{k \pi}{4}\right)+\sin \left(\frac{3 k \pi}{4}\right)\)
(b) \(a_{k}=\left\{\begin{array}{ll}
\sin \left(\frac{k \pi}{3}\right), & 0 \leq k \leq 6 \\
0, & k=7
\end{array}\right.\)
(c) \(a_{k}\) as in Figure P3.29(a)
(d) \(a_{k}\) as in Figure P3.29(b)
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