Nyquist's criterion gives the maximum rate of transmission of code elements for an ideal low-communication channel with a bandwidth of 2 code elements per second per Hz. Shannon's formula, on the other hand, derives the limiting information transmission rate for a bandwidth-limited channel with Gaussian white noise interference, C=Wlog2(1+S/N), where W is the channel's bandwidth in Hertz, S is the average power of the signals transmitted within the channel, and N is the power of the Gaussian noise within the channel.