GATE Electronics and Communications (EC) 2014 Shift 2 Solved Paper

Question : 54 of 65

Marks: +1, -0

The input-output relationship of a causal stable LTI system is given as
y[n] = α y[n – 2] + β x[n]
If the impulse response h[n] of this system satisfies the condition

∑ ↙{n = 0}↖{∞}⁡h [n] = 4,

the relationship between α and β is

4α – β = 4
4α + β = 4
α = 4β
α = -4β

Validate

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