GATE EE 2014 Set 2 — Question 44
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Signals & Systems → Fourier Analysis & Sampling → Sampling Theorem
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Question
An input signal is sampled with a sampling frequency of 400 Hz and applied to the system whose transfer function is represented by where, represents the number of samples per cycle. The output of the system under steady state is
Correct answer
(C) 2
Solution
The input signal is . The sampling frequency is Hz. The sampled signal is .
The frequency of the sinusoidal component is Hz. The number of samples per cycle is .
The transfer function represents a moving average filter.
For the DC component ():
.
For the sinusoidal component at frequency ():
.
The steady-state output is .
The frequency of the sinusoidal component is Hz. The number of samples per cycle is .
The transfer function represents a moving average filter.
For the DC component ():
.
For the sinusoidal component at frequency ():
.
The steady-state output is .
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