GATE EE concept:z-transform PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–5 of 5. Imported answers require independent review unless marked reviewed.

Topic practice 5 questionsPage 1 of 1

Consider the infinite-length, discrete-time sequence

, where

is an integer. The region of convergence of its Z-transform

is given by:

(Note:

is a complex variable)

Your answerChoose one option.

{z such that $|z|<0.9

|z|>1/0.9$}

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If the Z-transform of a finite-duration discrete-time signal

, then the Z-transform of the signal

Your answerChoose one option.

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The Z-transform of a discrete signal

Which one of the following statements is true?

Your answerChoose one option.

Discrete-time Fourier transform of

converges if

Discrete-time Fourier transform of

converges if

Discrete-time Fourier transform of

converges if

is such that

is a left-sided sequence

Discrete-time Fourier transform of

converges if

is such that

is a right-sided sequence

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The causal signal with z-transform

is (

is the unit step signal)

Your answerChoose one option.

(n+1)

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Consider a signal

, where

, and

. The z-transform of

with region of convergence being

Your answerChoose one option.

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GATE EE concept:z-transform PYQs

How to practice concept:z-transform

Question 11

Question 39

Question 19

Question 31

Question 4