(ans: z = -0.8, +0.3; stable.) A system has transfer function H(z) = 2z/(z + 0.5z...

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(ans: z = -0.8, +0.3; stable.) A system has transfer function H(z) = 2z/(z + 0.5z - 0.24). a) Where are the system's poles? Is this system stable? What is the system's DE? (Hint: first convert numerator and denominator of H(z) to negative powers of z and then get the DE. Don't try to do it with positive powers of z.) (ans: y(n) = -0.5y(n-1) + 0.24y(n-2) + 2x(n-1)). (ans: z = -0.8, +0.3; stable.) A system has transfer function H(z) = 2z/(z + 0.5z - 0.24). a) Where are the system's poles? Is this system stable? What is the system's DE? (Hint: first convert numerator and denominator of H(z) to negative powers of z and then get the DE. Don't try to do it with positive powers of z.) (ans: y(n) = -0.5y(n-1) + 0.24y(n-2) + 2x(n-1)).

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