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Official PYQ · 2014

GATE EC 2014 Set 2 Q44 — Random Processes

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The input-output relationship of a causal stable LTI system is given as y[n]=α y[n−1]+β x[n]y[n] = \alpha \: y[n-1] + \beta \: x[n]. If the impulse response h[n]h[n] of this system satisfies the condition ∑n=0∞h[n]=2\sum_{n=0}^{\infty}h[n]= 2, the relationship between α\alpha and β\beta is

             

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Answer: A

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