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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 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
Network Theory
State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs 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
Number System and Code Convertions Boolean Algebra Logic Gates Combinational Circuits Sequential Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Electronic Devices and VLSI
PN Junction Semiconductor Physics IC Basics and MOSFET BJT and FET
Analog Circuits
Bipolar Junction Transistor FET and MOSFET Oscillators Operational Amplifier 555 Timer Frequency Response Diodes Feedback Amplifier Power Amplifier
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Complex Variable Probability and Statistics Differential Equations Numerical Methods Transform Theory
Microprocessors
Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085
Communications
Analog Communication Systems Digital Communication Systems Random Signals and Noise Fundamentals of Information Theory Noise In Digital Communication
Electromagnetics
Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves
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