The Data Rate Calculation with 64-QAM Modulation

How to calculate the data rate possible with 64-QAM modulation?

Given 64-QAM modulation where m = 64, and the baud rate is 4800 baud.

Answer:

The data rate possible with 64-QAM modulation at a baud rate of 4800 baud is 28800 bps.

Explanation:

To determine the data rate possible with 64-QAM modulation where m = 64, and the baud rate is 4800 baud, we can use the relationship between baud rate and bits per second (bps). In QAM, or Quadrature Amplitude Modulation, the data rate is calculated by multiplying the baud rate by the log2(m), where m is the modulation level.

The baud rate represents the number of signal changes or symbols per second, and each symbol can encode log2(m) bits of information. For 64-QAM (where m=64), the number of bits per symbol is log2(64) = 6 bits per symbol. Therefore, the data rate in bits per second is calculated as baud rate multiplied by bits per symbol, which is 4800 baud × 6 bps = 28800 bps.