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ECE · Q178

Signal Processing

Engineering and GATE · ECE · question 178

Q178

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 _n = 0^ h [ n ] = 2, the relationship between α and β is

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
  the relationship between α and β is
A.
Answer
B.
C.
α = 2β
D.
α = -2β

Answer: Option A

Solution

Answer: Option A
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