GATE EC 2015 Set 3 — Question 61
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Communications → Analog Communications → Signal Representation & Classification
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Question
The complex envelope of the bandpass signal , centered about Hz, is
Correct answer
(C) √(2) ((sin(π t / 5))/(π t / 5)) e^(j (π)/(4))
Solution
A bandpass signal can be represented as , where is the complex envelope and is the carrier frequency.
Given and Hz.
Using the identity :
Since , .
Thus, the complex envelope .
Given and Hz.
Using the identity :
Since , .
Thus, the complex envelope .
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