1
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33
Let $$m(t)$$ be a strictly band-limited signal with bandwidth B and energy E. Assuming $${\omega _0} = 10B$$, the energy in the signal $$m(t)\cos {\omega _0}t$$ is
2
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33
The Fourier transform $$x(\omega )$$ of $$x(t) = {e^{ - {t^2}}}$$ is
Note : $$\int\limits_{ - \infty }^\infty {{e^{ - {y^2}}}dy = \sqrt \pi } $$
3
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33
In the table shown below, match the signal type with its spectral characteristics.
Signal type | Spectral characteristics | ||
---|---|---|---|
(i) | Continuous, aperiodic | (a) | Continuous, aperiodic |
(ii) | Continuous, periodic | (b) | Continuous, periodic |
(iii) | Discrete, aperiodic | (c) | Discrete, aperiodic |
(iv) | Discrete, periodic | (d) | Discrete, periodic |
4
GATE ECE 2023
MCQ (Single Correct Answer)
+2
-0.67
Consider a discrete-time periodic signal with period N = 5. Let the discrete-time Fourier series (DTFS) representation be $$x[n] = \sum\limits_{k = 0}^4 {{a_k}{e^{{{jk2\pi m} \over 5}}}} $$, where $${a_0} = 1,{a_1} = 3j,{a_2} = 2j,{a_3} = - 2j$$ and $${a_4} = - 3j$$. The value of the sum $$\sum\limits_{n = 0}^4 {x[n]\sin {{4\pi n} \over 5}} $$ is
Paper analysis
Total Questions
Analog Circuits
5
Communications
6
Control Systems
4
Digital Circuits
5
Electromagnetics
5
Electronic Devices and VLSI
6
Engineering Mathematics
8
Network Theory
7
Signals and Systems
9
General Aptitude
10
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