Given the following periodic DT signal
$ \,x(t)=\sum_{k=-\infty}^{\infty}\delta(n-4k) + \pi\delta(n-1-4k) - 3\delta(n-2-4k) + \sqrt[e]{\frac{\pi^j}{\ln(j)}}\delta(n-3-4k)\, $
which is an infinite sum of shifted copies of a non-periodic signal, compute its Fourier series coefficients.
Answer
By inspection
