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

(A) α = 1−β /2

(B) α = 1+β/2

(C) α = 2β

(D) α = −2β

Hint: 

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