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Signals and Systems
Representation of Continuous Time Signal Fourier Series
Marks 1Marks 2
Fourier Transform
Marks 1Marks 2Marks 5
Continuous Time Signal Laplace Transform
Marks 1Marks 2Marks 5
Discrete Time Signal Fourier Series Fourier Transform
Marks 1Marks 2
Discrete Fourier Transform and Fast Fourier Transform
Marks 1Marks 2
Discrete Time Signal Z Transform
Marks 1Marks 2
Continuous Time Linear Invariant System
Marks 1Marks 2Marks 5
Discrete Time Linear Time Invariant Systems
Marks 1Marks 2Marks 4Marks 5
Transmission of Signal Through Continuous Time LTI Systems
Marks 1Marks 2Marks 5
Sampling
Marks 1Marks 2Marks 4Marks 5
Transmission of Signal Through Discrete Time Lti Systems
Marks 1Marks 2Marks 4
Miscellaneous
Marks 1Marks 2
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1
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
An FIR system is described by the system function $$$H(z) = 1 + {7 \over 2}{z^{ - 1}} + {3 \over 2}{z^{ - 2}}$$$
A
maximum phase
B
manimum phase
C
mixed phase
D
zero phase
2
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
If $$x\left[ n \right]$$= $${(1/3)^{\left| n \right|}} - {(1/2)^n}u\left[ n \right]$$, then the region of convergence (ROC) of its Z- transform in the Z-plane will be
A
$${1 \over 3} < \left| {z\,} \right| < 3$$
B
$${1 \over 3} < \left| {z\,} \right| < {1 \over 2}$$
C
$${1 \over 2} < \left| {z\,} \right| < 3$$
D
$${1 \over 3} < \left| {z\,} \right|$$
3
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
Consider the z-transform
X(z)=5$${z^2} + 4{z^{ - 1}} + 3;0 < \left| z \right| < \infty $$.

The inverse z - transform x$$\,\left[ n \right]$$ is

A
$$5\,\delta [n + 2] + 3\,\delta {\rm{\;}}[n]{\mkern 1mu} + 4\delta [n - 1]$$
B
$$5\,\delta [n - 2] + 3\,\delta [n] + 4\,\delta [n + 1]$$
C
$$5\,u[n + 2] + 3\,u[n]{\mkern 1mu} + 4\,u[n - 1]$$
D
$$5\,u[n - 2] + 3\,u[n]{\mkern 1mu} + 4\,u[n + 1]$$
4
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
The ROC of Z-transform of the discrete time sequence
x(n)= $${\left( {{1 \over 3}} \right)^{n}}u(n) - {\left( {{1 \over 2}} \right)^{ n}}\,u( - n - 1)$$ is
A
$${1 \over 3} < \left| {z\,} \right| < {1 \over 2}$$
B
$$\left| {z\,} \right| > {1 \over 2}$$
C
$$\left| {z\,} \right| < {1 \over 2}$$
D
$$2 < \left| {z\,} \right| < 3$$
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Questions Asked from Marks 1
GATE ECE 2025 (1) GATE ECE 2018 (1) GATE ECE 2016 Set 1 (1) GATE ECE 2016 Set 3 (1) GATE ECE 2015 Set 2 (1) GATE ECE 2014 Set 4 (1) GATE ECE 2014 Set 3 (1) GATE ECE 2014 Set 2 (2) GATE ECE 2012 (1) GATE ECE 2010 (1) GATE ECE 2009 (1) GATE ECE 2006 (1) GATE ECE 2005 (1) GATE ECE 2004 (1) GATE ECE 2001 (1) GATE ECE 1999 (1) GATE ECE 1998 (1)
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics