1) What is the channel capacity for a tele printer channel with a 300-Hz bandwidth and a signal-to noise ratio of 3 dB, where the noise is white thermal noise? 2) Given the narrow (usable) audio bandwidth of a telephone transmission facility, a nominal SNR of 56 dB (400,000), and a certain level of distortion What is the theoretical maximum channel capacity (kbps) of traditional telephone lines? What can we say about the actual maximum channel capacity?   3) Consider a channel with a 1 MHz capacity and an SNR of 63

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1) What is the channel capacity for a tele printer channel with a 300-Hz bandwidth and a signal-to noise ratio of 3 dB, where the noise is white thermal noise?

2) Given the narrow (usable) audio bandwidth of a telephone transmission facility, a nominal SNR of 56 dB (400,000), and a certain level of distortion

1. What is the theoretical maximum channel capacity (kbps) of traditional telephone lines?
2. What can we say about the actual maximum channel capacity?

 

3) Consider a channel with a 1 MHz capacity and an SNR of 63.

1. What is the upper limit to the data rate that the channel can carry? C= B* log_{2 2}(1+S/N)
2. The result of part (a) is the upper limit. However, as a practical matter, better error performance will be achieved at a lower data rate. Assume we choose a data rate of 2/3 as the maximum theoretical limit. How many signal levels are needed to achieve this data rate?

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 -151 dBW and the receiver system effective noise temperature is 1500 K, what is Eb/N0 for a link transmitting 2400 bps?