The capacity of an AWGN channel (in bits per second) is given by

\(C = B \log_{2}(1+S/N)\)

where:
- \(B\) is the bandwidth used to convey the bit sequence (in Hertz),
- \(S = \lim_{T\rightarrow\infty} \frac{1}{T}\int^{T}_{0}|v(t)|^{2}dt\) is the signal power (in Watts),
- \(N = \lim_{T\rightarrow\infty} \frac{1}{T}\int^{T}_{0}|n(t)|^{2}dt=\sigma^{2}\) is the noise power (in Watts),
- \(S/N\) is the Signal Noise Ratio (SNR), which may be expressed in decibels as \(10 \log_{10}(S/N)\).