A causal, LTI discrete-time system is represented by the block diagram shown in Figure 9.15 where D

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A causal, LTI discrete-time system is represented by the block diagram shown in Figure 9.15 where D stands for a one-sample delay.

(a) Find the difference equation relating the input x[n] and the output y[n].

(b) Find the impulse response h[n] of the system and use it to deter-mine if the system is BIBO stable? Explain.


Figure 9.15:

2 e[n] yla) D. D Ma-1]

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