GATE EC 2016 Set 3 — Question 16
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Signals & Systems → Continuous-Time Signals → Sampling Theorem
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Question
Consider the signal , where is in seconds. The Nyquist sampling rate (in samples/second) for the signal is
Correct answer
(C) 16
Solution
The signal consists of two frequency components:
Hz and Hz.
The maximum frequency in is Hz. The signal is a time-scaled and shifted version of . Time scaling by a factor of scales the frequencies by the same factor.
Frequencies in are Hz and Hz.
The maximum frequency in is Hz. The Nyquist sampling rate is samples/second.
Hz and Hz.
The maximum frequency in is Hz. The signal is a time-scaled and shifted version of . Time scaling by a factor of scales the frequencies by the same factor.
Frequencies in are Hz and Hz.
The maximum frequency in is Hz. The Nyquist sampling rate is samples/second.
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