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Question: Given the transfer function
H(s) = (s2 - s - 6)/(s2 + 3s + 1)(s2 + 7s + 12)
(a) determine all possible choices for the ROC;
(b) determine the impulse response of a causal implementation of the transfer function H(s);
(c) determine the left-sided impulse response with the specified transfer function H(s);
(d) determine all possible choices of double-sided impulse responses having the specified transfer function H(s). (e) Which of the four impulse responses obtained in (b)-(d) are stable?
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