Multiple choice

The transfer function of a discrete time LTI system is given by H(z) = $\dfrac{ 2-\dfrac{3}{4}z^{-1} }{ 1 - \dfrac{3}{4}z^{-t} + \dfrac{1}{8}z^{-2} }$ Consider the following statements: S1: The system is stable and causal for ROC:|z|>½ S2: The system is stable but not causal for ROC:|z|<¼ S3: The system is neither stable nor causal for ROC: ¼<|z|<½

Which one of the following statements is valid?

  1. Both S1 and S2 are true.

  2. Both S2 and S3 are true.

  3. Both S1 and S3 are true.

  4. S1, S2 and S3 are all true.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation