1
GATE ECE 2015 Set 2
Numerical
+1
-0
Two casual discrete-time signals $$x\left[ n \right]$$ and $$y\left[ n \right]$$ =$$\sum\limits_{m = 0}^n x \left[ m \right]$$. If the z-transform of y$$\left[ n \right]$$=$${2 \over {z{{(z - 1)}^2}}}$$ , the value of $$x\left[ 2 \right]$$ is _____________________
Your input ____
2
GATE ECE 2014 Set 4
Numerical
+1
-0
The sequence x $$\left[ n \right]$$ = $${0.5^n}$$ u[n], where u$$\left[ n \right]$$ is the unit step sequence, is convolved with itself to obtain y $$\left[ n \right]$$ . Then $$\sum\limits_{n = \infty }^{ + \infty } y \left[ n \right]$$ is ____________.
Your input ____
3
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
For an all-pass system H(z)= $${{({z^{ - 1}} - b)} \over {(1 - a{z^{ - 1}})}}$$ where $$\left| {H({e^{ - j\omega }})} \right| = \,1$$ , for all $$\omega $$. If Re (a) $$ \ne $$ 0,$${\mathop{\rm Im}\nolimits} (a) \ne 0$$ then b equals
4
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
An FIR system is described by the system function
$$$H(z) = 1 + {7 \over 2}{z^{ - 1}} + {3 \over 2}{z^{ - 2}}$$$
Questions Asked from Discrete Time Signal Z Transform (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2018 (1)
GATE ECE 2016 Set 3 (1)
GATE ECE 2016 Set 1 (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
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics