For a causal discrete-time LTI system with transfer function $H(z) = \frac{2z^2+3}{(z+\frac{1}{3})(z-\frac{1}{3})}$ which of the following statements is/are true?

The system is a minimum phase system.

The initial value of the impulse response is 2.

The final value of the impulse response is 0.

GATE 2024 Electronics & Communication Q24 — Electronics and Communication Engineerin

GATE 2024Set MasterQ24MCQanswer pendingexplanation soonmedium

Electronics and Communication Engineering · Signals and Systems - Z-transform

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Drill mode: Transfer Function · 5/72

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LTI systemtransfer functionstabilityminimum phaseimpulse response