The impulse response of a LTI discrete-time system is h[n] = u[n] u[n 3]. If

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The impulse response of a LTI discrete-time system is  h[n] = u[n] − u[n − 3]. If the input to this system is

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(a) Find the output y[n]of this system by calculating graphically the  convolution sum.

(b) Express x[n]in terms of basic functions and determine X(z).

(c) Use the Z-transform to find the output y[n].

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