The signal x[n] = 0.5 n (u[n] u[n 3]) is the input of a LTI
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The signal x[n] = 0.5n (u[n] − u[n − 3]) is the input of a LTI system with an impulse response h[n] = (1/3) (δ[n] + δ[n − 1] + δ[n − 2]).
(a) Determine the length of the output y[n]of the system.
(b) Calculate the output y[n]using the convolution sum.
(c) Use the Z-transform to determine the output y[n].
(d) Use the DTFT to determine the output y[n].
(e) Use the DFT to find the output y[n].
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