Question

A single-carrier wireless communication system proposes the use of square M-QAM modulation (that is, M=2ℓ, where ℓ is an even integer) and SRRC pulses of roll-off factor α, where

α=D1/14+D2/42+D3/51
and D1D2D3 are the last three digits of your student ID. (Example: If the last three last digits are " 482" then α=0.2767.) The lowpass bandwidth is W=1MHz.
(a) What is symbol rate R (symbols./s) of this system?

Answer 1

The symbol rate R of the single-carrier wireless communication system is calculated by dividing the lowpass bandwidth W by the number of signal points M in the square M-QAM modulation scheme. So, the symbol rate R (symbols./s) of this system is 62.5 kHz.

Step-by-step explanation:

The symbol rate R of the single-carrier wireless communication system can be calculated by dividing the lowpass bandwidth W by the number of signal points M in the square M-QAM modulation scheme. In this case, M = 2^ℓ, where ℓ is an even integer. Since the question does not provide the value of ℓ, let's assume ℓ = 4 for example purposes.

Suppose the lowpass bandwidth W is given as 1 MHz. For square 16-QAM modulation (M = 2⁴ = 16), the number of signal points M is 16.

Therefore, the symbol rate R can be calculated as:
R = W / M = 1 MHz / 16 = 62.5 kHz