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A causal LTI system is described by the difference equation, 2y[n] = αy[n- 2] - 2x[n] + βx[n - 1]. The system is stable only if,
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A causal LTI system is described by the difference equation, 2y[n]= &a...

Taking z-transform



For system to bs stable, β can be of any value.

⇒ 
For system to be stable all poles should be inside unity circle.
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