GATE EE 2015 Set 2 — Question 45
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Signals & Systems → Laplace & Z Transforms → Z Transform & ROC
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Question
The z-Transform of a sequence is given as . If is the first difference of , then is given by
Correct answer
(A) 2z + 2 - 8/z + 7/z² - 3/z³
Solution
Given .
The first difference is defined as .
Using the linearity and time-shifting properties of the z-transform:
Substitute :
This matches option (A).
The first difference is defined as .
Using the linearity and time-shifting properties of the z-transform:
Substitute :
This matches option (A).
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