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. $$\alpha = 1 - {\beta \over 2}$$
B. $$\alpha = 1 + {\beta \over 2}$$
C. α = 2β
D. α = -2β
Answer: Option A
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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The Fourier transform of a real valued time signal has
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A. $$V$$
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D. $${{{T_1}} \over {{T_2}}}V$$
A. $$T = \sqrt 2 {T_s}$$
B. T = 1.2Ts
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A. $${{\alpha - \beta } \over {\alpha + \beta }}$$
B. $${{\alpha \beta } \over {\alpha + \beta }}$$
C. α
D. β
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