EC > GATE 2014 SET-3 > Z-Transform
Let H1(z) = (1 − pz−1)−1, H2(z) = (1 − qz−1)−1, H(z) = H1(z) + rH2(z). The quantities p, q, r are real numbers. Consider p = 1/2, q = −1/4, |r| < 1. If the zero of H(z) lies on the unit circle, then r = ________

Explanation

Correct : -0.5

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