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Practice over 1000+ GATE-level questions from this topic!

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Q#1 Z Transform GATE EC 2025 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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