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Signals and Systems
Z Transform
Z-Transform Calculation

Questions mapped to Z-Transform Calculation under Z Transform.

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Q#1 Z Transform GATE EE 2021 (Set 1) MCQ +2 marks -0.66 marks

The causal signal with z-transform   is (u[n] is the unit step signal)

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Q#2 Z Transform GATE EE 2015 (Set 1) MCQ +2 marks -0.66 marks

Consider a discrete time signal given by

The region of convergence of its Z – transform would be

The region inside the circle of radius 0.5 and centered at origin.

The region outside the circle of radius 0.25 and centered at origin.

The annular region between the two circles, both centered at origin and having radii 0.25 and 0.5

the entire Z plane.

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Q#3 Z Transform GATE EE 2012 (Set 1) MCQ +1 mark -0.33 marks

If , then the region of convergence (ROC) of its Z-transform in the Z-plane will be

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Q#4 Z Transform GATE EE 2009 (Set 1) MCQ +2 marks -0.66 marks

The z-transform of a signal x[n] is given by.  It is applied to a system, with a transfer function.  Let the output be y(n). Which of the following is true?

y(n) is non casual with finite support

y(n) is casual with infinite support

;;

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Q#5 Z Transform GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

Given  with , the residue of  at for  will be

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Q#6 Z Transform GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

y[n] denotes the output and x[n] denotes the input of a discrete-time system given by the difference equation y[n] – 0.8y[n – 1] = x[n] + 1.25x[n + 1].  Its right-sided impulse response is

Casual

Unbounded

Periodic

Non-negative

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Q#7 Z Transform GATE EE 2005 (Set 1) MCQ +2 marks -0.66 marks

If u(t) is the unit step and  δ(t) is the unit impulse function, the inverse z-transform of for k ≥ 0 is:

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