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​​​​​For a causal discrete-time LTI system with transfer function

\[
H(z)=\frac{2 z^{2}+3}{\left(z+\frac{1}{3}\right)\left(z-\frac{1}{3}\right)}
\]
which of the following statements is/are true?

  1. The system is stable.
  2. The system is a minimum phase system.
  3. The initial value of the impulse response is $2$.
  4. The final value of the impulse response is $0$.

 

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