Multiple choice

The input-output relationship of a causal stable LTI system is given as Y[n] = $\alpha$y[n – 1] + $\beta$x[n]

If the impulse response h6n@ of this system satisfies the condition $\sum_{n=0}^\infty h$[n] = 2, the relationship between a and b is

  1. a = 1 - $\beta$/2
  2. a = 1 + $\beta$/2
  3. a = 2$\beta$
  4. a = - 2$\beta$
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Explanation