If a signal is sampled at a frequency *f*, any information it contains above a frequency of *f*/2 cannot be reliably recovered from the sampled data. The frequency *f*/2 is known as the Nyquist frequency, in reference to the Nyquist-Shannon sampling theorem. The higher-frequency components are not lost, but are merged with the lower-frequency components, from which they cannot be separated. This effect is known as *aliasing*.

For example, an audio CD with a sampling frequency of 44100 Hz cannot reproduce frequencies higher than 22050 Hz if the lowest frequency to be sampled is 0 Hz.

*Note 1:* The actual sampling rate required to reconstruct the original signal will be somewhat higher than the Nyquist frequency, because of quantization errors introduced by the sampling process.

*Note 2:* The Nyquist rate is also the maximum rate that ideal pulses can be sent over an ideal low pass channel - ie, if the channel passes all frequencies at or below W (in Hz), you can transmit 2W pulses/second. As in Note 1, the actual maximum transmission rate is somewhat lower due to the imperfect pulses and filters used in real systems.