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The information rate to be transmitted is 900 bits / sec, FEC is 3 / 4, the symbol rate for QPSK modulation scheme is:
1. 225 symbols / sec
2. 450 symbols / sec
3. 600 symbols / sec
4. 675 symbols / sec

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Correct Answer - Option 3 : 600 symbols / sec

Concept:

Baud rate is defined as the number of symbols transmitted per second. It is also known as the symbol rate.

For M -array PSK baud rate is given as:

\(Baud\;rate = \frac{{Bit\;rate}}{{{{\log }_2}M}}\)

For QPSK, M = 4

\( Baud \ Rate = \ \frac{R_b}{log_24}=\frac{R_b}{2}\)

So, Baud Rate and symbols per second are often used interchangeably.

Calculation:

Given:

Information Rate = 900 bits/sec

\(Forward \ Error \ Correction \ (FEC)=\frac{3}{4}\)

\(R_b =900 \ \times \ \frac{4}{3}\)

Rb = 1200 bits/sec

For QPSK modulation,

\(Symbol \ Rate=\frac{1200}{2}\)

Symbol Rate =600 symbols/sec

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