| Line 11: | Line 11: | ||
<math> | <math> | ||
\begin{align} | \begin{align} | ||
| − | a_n &= \ | + | a_n &= \frac{1}{T} \sum_{2\pi} x[n] e^{-j \frac{2\pi}{T}nk} \\ |
| − | & = ... | + | & = ...\\ |
\end{align} | \end{align} | ||
</math> | </math> | ||
| + | |||
| + | not finished, I'll come back to this later. @_@ | ||
| + | |||
| + | -Ty | ||
Revision as of 08:16, 14 September 2010
Exercise: Compute the DT Fourier series coefficients of the following discrete-time signal:
$ x[n]=\sum_{k=-\infty}^\infty \left( u[n-5k]-u[n-4-5k] \right) $
After you have obtained the coefficients, write the Fourier series of x[n].
Help: If the function above does not look periodic to you, please read this page.
Answer
Can somebody finish the following computation?
$ \begin{align} a_n &= \frac{1}{T} \sum_{2\pi} x[n] e^{-j \frac{2\pi}{T}nk} \\ & = ...\\ \end{align} $
not finished, I'll come back to this later. @_@
-Ty
