Marks 1
1
For the signal f(t) = 3 sin8$$\mathrm\pi$$t + 6sin12$$\mathrm\pi$$t + sin14$$\mathrm\pi$$t, the minimum sampling frequency (in
Hz) satisfying the Nyquist criterion is _________.
GATE EE 2014 Set 3
2
A band-limited signal with a maximum frequency of 5 kHz is to be sampled.
According to the sampling theorem, the sampling frequency in kHz which is not
valid is
GATE EE 2013
3
The frequency spectrum of a signal is shown in the figure. If this is ideally sampled at intervals of $$1$$ $$ms,$$ then the frequency spectrum of the sampled signal will be
GATE EE 2007
Marks 2
1
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).
GATE EE 2023
2
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
3
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
GATE EE 2014 Set 2
4
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
GATE EE 2014 Set 3