Task 1 – Transmission Fundamentals

a) Using Shannon’s formula, find the channel capacity of a teleprinter channel with a 300 Hz bandwidth and a signal-to-noise (SNR) ratio of 3dB.

b) A signal element in a digital system encodes an 4-bit word. If the digital system is required to operate at 9600 bps, what is the minimum required bandwidth of the channel?

c) For the works of Shannon and Nyquist on channel capacity, each places an upper limit on the bit rate of a channel based on the two different approaches. How are the two related?

d) Given a channel with an intended capacity of 20 Mbps, and the bandwidth of the channel of 3 MHz. What should the signal-to-nose (SNR) ratio be to achieve this capacity?