GATE 2020 || Signals & Systems || Z Transform & its Properties

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Question 1

The Unilateral Z transform of sequence x[n] = {2, 4, 3, 2}

• A2 + 4z^-1 + 3z^-2 + 2z^-3
• B2z+3z^-1 + 4z^-2 + 2z^-3
• C2z + 4z^-1 + 3z^-2 + 2z^-3
• D2 + 3z^-1 + 4z^-2 + 2z^-3

Question 2

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is

• A5 kHz
• B12 kHz
• C15 kHz
• D20 kHz

Question 3

determine X(z), the Z transform of x[n], where

• A
• B
• C
• D

Question 4

The Z-transform of a signal is given as Then what will be the Z transform of the signal where _* denotes convolution.

• A
• B
• C
• D

Question 5

Let the z -transform of a signal be given as ROC, then the value of is _____.

• A-11
• B11
• C31
• D-31

Question 6

Find the z-transform and ROC of

• A
• B
• C
• D

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