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<math>x[n]=\sum_{k=-\infty}^\infty \left( u[n-5k]-u[n-4-5k] \right)  </math>
 
<math>x[n]=\sum_{k=-\infty}^\infty \left( u[n-5k]-u[n-4-5k] \right)  </math>
  
After you have obtained the coefficients, write the Fourier series of x(t).
+
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 [[Hw1periodicECE301f08profcomments|this page]].
 
Help: If the function above does not look periodic to you, please read [[Hw1periodicECE301f08profcomments|this page]].

Revision as of 07:28, 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 &= \sum \\ & = ... \end{align} $



More exercises on computing discrete-time Fourier series

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