Multiple choice

A causal LTI system is described by the difference equation 2y[n] = $\alpha$y[n-2] -2x [n] + $\beta$x[n-1]
The system is stable only if

  1. |$\alpha$| = 2, |$\beta$| < 2
  2. |$\alpha$| > 2, |$\beta$| > 2
  3. |$\alpha$| < 2, any value of $\beta$
  4. |$\beta$| < 2, any value of $\alpha$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation