Topic: Communication Systems
An Ideal power limited communication channel with additive white Gaussian noise is having 4 kHz band width and Signal to Noise ratio of 255. The channel capacity is
- A. 8 kilo bits/sec
- B. 9.63 kilo bits/sec
- C. 16 kilo bits/sec
- D. 32 kilo bits/sec
Answer: D. 32 kilo bits/sec
Explanation: Channel capacity is given as $C=B~log_{2}(1+\frac{S}{N})$. $C = 4\times10^{3}log_{2}(1+255) = 4\times10^{3}log_{2}256 = 4\times10^{3}log_{2}2^{8} = 32~kilo~bits/sec$.