1
GATE EE 2023
Numerical
+2
-0.67
A signal $$x(t) = 2\cos (180\pi t)\cos (60\pi t)$$ is sampled at 200 Hz and then passed through an ideal low pass filter having cut-off frequency of 100 Hz.
The maximum frequency present in the filtered signal in Hz is ___________ (Round off to the nearest integer).
Your input ____
2
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples
uniquely. The required minimum sampling rate is
![GATE EE 2017 Set 2 Signals and Systems - Sampling Theorem Question 5 English](https://gateclass.cdn.examgoal.net/examside/questions/87ae33c3ebf9bffb58d04b7150c036f3b6aca4f8312232f0ee98cd78b86fdda5.jpg)
![GATE EE 2017 Set 2 Signals and Systems - Sampling Theorem Question 5 English](https://gateclass.cdn.examgoal.net/examside/questions/87ae33c3ebf9bffb58d04b7150c036f3b6aca4f8312232f0ee98cd78b86fdda5.jpg)
3
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
A sinusoid x(t) of unknown frequency is sampled by an impulse train of period 20 ms. The
resulting sample train is next applied to an ideal lowpass filter with a cutoff at 25 Hz. The
filter output is seen to be a sinusoid of frequency 20 Hz. This means that x(t) has a frequency
of
4
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
An input signal x(t) = 2 + 5sin(100$$\mathrm\pi$$t) is sampled with a sampling frequency of 400 Hz and
applied to the system whose transfer function is represented by
$$$\frac{Y\left(z\right)}{X\left(z\right)}=\frac1N\left[\frac{1-z^{-N}}{1-z^{-1}}\right]$$$
where, N represents the number of samples per cycle. The output y(n) of the system under
steady state is
Questions Asked from Sampling Theorem (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits