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Signals and Systems
Z Transform

Practice questions from Z Transform.

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Q#1 Z Transform GATE EC 2025 (Set 1) MSQ +1 mark -0 marks

Let  be a discrete-time signal whose -transform is .

Which of the following statements is/are TRUE?

The discrete-time Fourier transform (DTFT) of  always exists

The region of convergence (RoC) of  contains neither poles nor zeros

The discrete-time Fourier transform (DTFT) exists if the region of convergence (RoC) contains the unit circle

If , where  is the unit impulse and  is a scalar, then the region of convergence  is the entire -plane

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Q#2 Z Transform GATE EC 2024 (Set 1) MSQ +1 mark -0 marks

For a causal discrete-time LTI system with transfer function

Which of the following statements is/are true?

The system is stable.

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.

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