The input-output relationship of a causal stable LTI system is given as y[n] = αy[n - 1] + βx[n]
If the impulse response h[n] of this system satisfies the condition $$\sum\limits_{n = 0}^\infty {h\left[ n \right] = 2,} $$ the relationship between α and β is
A. $$\alpha = 1 - \frac{\beta }{2}$$
B. $$\alpha = 1 + \frac{\beta }{2}$$
C. α = 2β
D. α = -2β
Answer: Option A
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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A. $${{\alpha - \beta } \over {\alpha + \beta }}$$
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D. β
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