What is the maximum achievable data rate, Computer Network Security

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Question:

a) How many bits per second can be sent on a noiseless 4 MHz channel if four-level digital signals are used?

b) If a binary signal is sent over a 3 KHz channel whose SNR is 30 dB, what is the maximum achievable data rate?

c) A modem constellation diagram has data points at the following coordinates: (1,1), (1,-1), (-1,1) and (-1,-1). How many bits per second can a modem with such parameters achieve at 2400 baud?

d)

i) Using an example, explain how CRC is used for error control.

ii) A 50 Km long cable runs at the T1 data rate (1.544 Mbps). The propagation speed in the cable is 200 m/µs. How many bits fit in the cable?

e) Sketch the differential Manchester encoding for the following bit stream: 0011101


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