GATE EC 2015 Set 1 — Question 33
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Communications → Analog Communications → DSB-SC & SSB
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Question
Consider the signal where denotes the Hilbert transform of and the bandwidth of is very small compared to . The signal is a
Correct answer
(C) band-pass signal
Solution
The expression represents a Single Sideband (SSB) modulated signal (specifically, the Lower Sideband). Since is a baseband (low-pass) signal with a bandwidth that is much smaller than the carrier frequency , the resulting modulated signal occupies a frequency range centered around (specifically from to ). Therefore, is a band-pass signal.
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