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1
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33

Let $${w^4} = 16j$$. Which of the following cannot be a value of $$w$$?

A
$$2{e^{{{j2\pi } \over 8}}}$$
B
$$2{e^{{{j\pi } \over 8}}}$$
C
$$2{e^{{{j5\pi } \over 8}}}$$
D
$$2{e^{{{j9\pi } \over 8}}}$$
2
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

The Fourier transform X(j$$\omega$$) of the signal $$x(t) = {t \over {{{(1 + {t^2})}^2}}}$$ is ____________.

A
$${\pi \over {2j}}w{e^{ - |\omega |}}$$
B
$${\pi \over 2}w{e^{ - |\omega |}}$$
C
$${\pi \over {2j}}{e^{ - |\omega |}}$$
D
$${\pi \over 2}{e^{ - |\omega |}}$$
3
GATE ECE 2021
MCQ (Single Correct Answer)
+1
-0.33
Consider two 16-point sequences x[n] and h[n]. Let the linear convolution of x[n] and h[n] be denoted by y[n], while z[n] denotes the 16-point inverse discrete Fourier transform (IDFT) of the product of the 16-point DFTs of x[n] and h[n]. The value(s) of k for which z[k] = y[k] is/are
A
k = 0, 1, 2, ....., 15
B
k = 0 and k = 15
C
k = 0
D
k = 15
4
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
For an N-point FFT algorithm with N = $${2^m}$$ which one of the following statements is TRUE?
A
It is not possible to construct a signal flow graph with both input and output in normal order.
B
The number of butterflies in the $${m^{th}}$$ stage is N/m.
C
In-place computation requires storage of only 2N node data.
D
Computation of a butterfly requires only one complex multiplication.
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
Network Elements Network Theorems Transient Response Sinusoidal Steady State Response Two Port Networks Network Graphs State Equations For Networks Miscellaneous
Control Systems
Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis
Digital Circuits
Logic Gates Boolean Algebra Analog to Digital and Digital to Analog Converters Sequential Circuits Combinational Circuits Logic Families Number System and Code Convertions Semiconductor Memories
General Aptitude
Verbal Ability Logical Reasoning Numerical Ability
Electronic Devices and VLSI
PN Junction Semiconductor Physics IC Basics and MOSFET BJT and FET
Analog Circuits
Diodes Bipolar Junction Transistor Frequency Response FET and MOSFET Oscillators Operational Amplifier Feedback Amplifier Power Amplifier 555 Timer
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Complex Variable Probability and Statistics Differential Equations Numerical Methods Transform Theory
Microprocessors
Instruction Set and Programming with 8085 Pin Details of 8085 and Interfacing with 8085
Communications
Fundamentals of Information Theory Noise In Digital Communication Analog Communication Systems Digital Communication Systems Random Signals and Noise
Electromagnetics
Maxwell Equations Transmission Lines Uniform Plane Waves Waveguides Antennas Miscellaneous
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