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For a bit rate of Rb=8000 bits/s, what is the symbol rate if 8-QAM is used? What if 16-QAM is used?

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Final answer:

The symbol rate for 8-QAM with a bit rate of 8000 bits/s is approximately 2666.67 symbols/s, whereas for 16-QAM it is exactly 2000 symbols/s.

Step-by-step explanation:

The question seeks to determine the symbol rate when using two different types of Quadrature Amplitude Modulation (QAM) with a given bit rate. Specifically, the bit rate given is Rb=8000 bits/s. The symbol rate depends on the modulation used, which defines how many bits are transmitted per symbol.

For 8-QAM, each symbol represents 3 bits (since 2³ = 8). Therefore, to find the symbol rate for 8-QAM, you would divide the bit rate by 3:

Symbol rate for 8-QAM = Rb / 3 = 8000 bits/s / 3 ≈ 2666.67 symbols/s.

For 16-QAM, each symbol represents 4 bits (since 2´ = 16). Therefore, to find the symbol rate for 16-QAM, you would divide the bit rate by 4:

Symbol rate for 16-QAM = Rb / 4 = 8000 bits/s / 4 = 2000 symbols/s.

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