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Consider the discrete-time system shown in Fig. P2.44.

(a) Compute the 10 first samples of its impulse response.

(b) Find the input-output relation

(c) Apply the input x(n) = {1 .1.1....} and compute the first 10 samples of the output,

(d) Compute the first 10 samples of the output for the input given in part (c) by using convolution

(e) Is the system causal? Is it stable?

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