Question: The causal system is known to be unstable. We modify this system by changing its impulse response h(n) to h(n) = n h(n)u(n). (a)

The causal system is

H(:) Σα 1+)aί

known to be unstable.

We modify this system by changing its impulse response h(n) to h’(n) = λn h(n)u(n).

(a) Show that by properly choosing λ we can obtain a new stable system.

(b) What is the difference equation describing the new system?

H(:) 1+)a

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