The complex Fourier series coefficients of a function with periodicity 4 are as follows: $$C_k=\frac{\sin{k\frac{\pi}{8}}}{2k\pi}$$ Find this function.
I really have no idea how to solve this problem.
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The Fourier series coefficients of Rectangular signal with amplitude $A$ is :
$\frac{A}{T}\frac{sin(\frac{k\pi}{T})}{\frac{k\pi}{T}}$. If you compare this with your given coefficient you can find the parameter of the rectangle.
John
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