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Practice Question on Computing the Fourier Series discrete-time signal

Obtain the Fourier series the DT signal

$ x[n] = \left\{ \begin{array}{ll} 1, & \text{ for } -5\leq n \leq 5,\\ 0, & \text{ for } 5< |n| \leq 10. \end{array} \right. \ $

x[n] periodic with period 20.


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