The system function of an LTI system is given by
It is known that the system is not stable and that the impulse response is two sided.
(a) Determine the impulse response h[n] of the system.
(b) The impulse response found in part (a) can be expressed as the sum of a causal impulse response h1[n] and an anticausal impulse response h2[n]. Determine the corresponding system functions H1(z) and H2(z).
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