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The transfer function of a digital system is given by:

$$\frac{b_0}{1-z^{-1}+a_2z^{-2}},\text{ where $a_2$ is real.}$$

The transfer function in $BIBO$ stable if the value of $a_2$ is:

  1. $-1.5$
  2. $-0.75$
  3. $0.5$
  4. $1.5$
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