GATE2019 IN: 6

Question

The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$  for which the system is Bounded-Input Bounded-Output (BIBO) stable is

• A. |$\alpha$| < 1
• B. |$\alpha$| = 1
• C. |$\alpha$| > 1
• D. |$\alpha$| < 3/2