| Line 1: | Line 1: | ||
Given the following periodic DT signal | Given the following periodic DT signal | ||
| − | <math>\,x | + | <math>\,x[n]=\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. | which is an infinite sum of shifted copies of a non-periodic signal, compute its Fourier series coefficients. | ||
| Line 7: | Line 7: | ||
== Answer == | == Answer == | ||
| − | + | The function has a fundamental period of 4 (it can be easily shown that <math>\,x( | |
Revision as of 14:14, 25 September 2008
Given the following periodic DT signal
$ \,x[n]=\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
The function has a fundamental period of 4 (it can be easily shown that $ \,x( $
