1
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The ROC (region of convergence) of the z-transform of a discrete-time signal is represented by the shaded
region in the z-plane. If the signal $$x\left[ n \right] = \,{\left( {2.0} \right)^{\left| n \right|}}$$ , $$ - \infty < n < + \infty $$ then the ROC of its z-transform is
represented by
2
GATE ECE 2016 Set 1
Numerical
+2
-0
A sequence x$$\left[ n \right]$$ is specified as $$\left[ {\matrix{
{x\left[ n \right]} \cr
{x\left[ {n - 1} \right]} \cr
} } \right] = {\left[ {\matrix{
1 \cr
1 \cr
} \,\matrix{
1 \cr
0 \cr
} } \right]^n}\left[ {\matrix{
1 \cr
0 \cr
} } \right]$$, for n $$ \ge $$2.
The initial conditions are x$$\left[ 0 \right]$$ = 1, x$$\left[ 1 \right]$$=1 and x$$\left[ n \right]$$=0 for n< 0. The value of x$$\left[ 12 \right]$$ is _____________________.
The initial conditions are x$$\left[ 0 \right]$$ = 1, x$$\left[ 1 \right]$$=1 and x$$\left[ n \right]$$=0 for n< 0. The value of x$$\left[ 12 \right]$$ is _____________________.
Your input ____
3
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
A realization of a stable discrete time system is shown in the figure. If the system is excited by a
unit step sequence input x[n ] , the response y[ n] is


4
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Suppose x $$\left[ n \right]$$ is an absolutely summable discrete-time signal. Its z-transform is a rational function
with two poles and two zeroes. The poles are at z = ± 2j. Which one of the following statements is
TRUE for the signal x=$$\left[ n \right]$$ ?
Questions Asked from Discrete Time Signal Z Transform (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Representation of Continuous Time Signal Fourier Series
Fourier Transform
Continuous Time Signal Laplace Transform
Discrete Time Signal Fourier Series Fourier Transform
Discrete Fourier Transform and Fast Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Discrete Time Linear Time Invariant Systems
Transmission of Signal Through Continuous Time LTI Systems
Sampling
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Communications
Electromagnetics
General Aptitude