GATE EC 2022 Set 1 — Question 35
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Communications → Digital Modulation & Detection → Digital Modulation (ASK, PSK, FSK, QAM)
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Question
A symbol stream contains alternate QPSK and 16-QAM symbols. If symbols from this stream are transmitted at the rate of 1 mega-symbols per second, the raw (uncoded) data rate is _______ mega-bits per second (rounded off to one decimal place).
Correct answer
2.99 to 3.01
Solution
1.Bits per symbol for QPSK: , so bits/symbol.
2.Bits per symbol for 16-QAM: , so bits/symbol.
3.Average bits per symbol: Since the symbols alternate, the average bits per symbol is bits/symbol.
4.Data rate: Symbol rate average bits per symbol = .
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