Consider a sequence with z-transform X(z) = P(z) / Q(z), where P(z) and Q(z) are polynomials in z....

Question

Consider a sequence with z-transform X(z) = P(z) / Q(z), where P(z) and Q(z) are polynomials in z. If the sequence is absolutely summable and if all the roots of Q(z) are inside the unit circle, is the sequence necessarily causal? If your answer is yes, clearly explain. If your answer is no, give a counterexample.

David · Accepted Answer

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Consider a sequence with z-transform X(z) = P(z) / Q(z), where P(z) and Q(z) are polynomials in z. If the sequence is absolutely summable and if all the roots of Q(z) are inside the unit circle, is...

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