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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 | + | 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} $