Quantization and Noise

1.The bandwidth of a music system has been measured and found to be 20 kHz. What is the Nyquist frequency?

2.What is the data rate of a sampled analogue signal which has a bandwidth of 50 kHz and uses 8 bit quantization?

3.An analogue signal has a 15 kHz bandwidth, and is quantized into 32 levels. What is the data rate of the system?

4.What is the bandwidth of the analogue signal that has been sampled quantized into 65,536 levels and has a data rate of 100 kbps

5.A sharp spike of energy of 0.01 s duration appears in a line transmitting digital data with the rate of 2400 bps. How many ASCII characters could be affected?

6.A telephone line has an input power of 120 mW and an output power of 45 mW. What is the loss of the line in dB?

7.Calculate the maximum capacity C, in bps for a transmission channel with a bandwidth of 10 kHz and a signal to noise ratio of 1000

8.Calculate the maximum capacity C, in bps for a transmission channel with a bandwidth of 500 Hz and a signal to noise ratio of 10 dB

9.Data is to be transmitted over a LAN at 100 Mbps. Measurements on the system show that the S/N ratio is 90 dB. Calculate the Bandwidth required to transmit the data at the required rate.

10.The maximum through put on a digital radio channel of 5 kHz bandwidth is found to be 7 kbps. Calculate the signal to noise ratio in dB.