4 Given a channel with an intended capacity of 20 Mbps the b

4.   Given a channel with an intended capacity of 20 Mbps, the bandwidth of the channel is 3 MHz. Assuming white thermal noise, what signal- to- noise ratio is required to achieve this capacity?

5. If the received signal level for a particular digital system is -151dBw and the receiver system effective noise temperature is 1500 K, what is Eb/No for a link transmitting 2400 bps?

Solution

4.Channel Capacity=bandwidth*log₂(1+SNR)

20 Mbps=3 MHz*log₂(1+SNR)

log₂(1+SNR)=3/20=6.667

SNR=2^6.667-1

SNR=100.6

5. Eb/N0=151+10log(1500)+10log(2400)

Eb/N0=12dBw