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Given the following periodic DT signal | Given the following periodic DT signal | ||
| − | <math>\,x(t)=\sum_{k=-\infty}^{\infty}\delta(n- | + | <math>\,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)\,</math> |
| + | |||
| + | which is an infinite sum of shifted copies of a non-periodic signal, compute its Fourier series coefficients. | ||
| + | |||
| + | == Answer == | ||
| + | |||
| + | By inspection | ||
Revision as of 13:12, 25 September 2008
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
