The input-output relationship of a causal stable LTI system is given asy[n] = α y[n – 2] + β x[n]If the impulse response h[n] of this system satisfies the condition \(\mathop \sum \limits_{n = 0}^\infty h\left[ n \right] = 4,\) the relationship between α and β is

• A. 4α – β = 4
• B. 4α + β = 4
• C. α = 4β
• D. α = -4β