EC > GATE 2014 SET-2 > LTI Systems
The input-output relationship of a causal stable LTI system is given as
y[n] = α y[n - 1] + β x[n]
If the impulse response h[n] of this system satisfies the condition Σh[n] = 2 (from n=0 to ∞), the relationship between α and β is
A
α = 1 - β/2
B
α = 1 + β/2
C
α = 2β
D
α = -2β

Correct : a

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