1

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

2

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