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Official PYQ · 2014

GATE EC 2014 Set 3 Q18 — Discrete-time Signals

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For an all-pass system H(z)=(z−1−b)(1−az−1)H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}, where ∣H(e−jω)∣=1,\mid H(e^{-j\omega }) \mid= 1, for all ω\omega. If Re(a)≠0, Im(a)≠0,\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,then bb equals

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Answer: B

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