Final answer:
The required bandwidth to transmit 16-QAM signals is 4000 Hz.
Step-by-step explanation:
To determine the required bandwidth to transmit 16-QAM signals, we need to use the Nyquist formula. The Nyquist formula relates the bandwidth (B), bit rate (Rb), and the roll-off factor (β). It is given by the equation: B = (1 + β) * Rb.
In this case, the bit rate (Rb) is 2000 bits/s and the roll-off factor (β) is 1. Plugging in these values into the formula, we get: B = (1 + 1) * 2000 = 4000 Hz.
Therefore, the required bandwidth to transmit 16-QAM signals is 4000 Hz.