Plot of a Gaussian white noise signal.
In signal processing, white noise is a random signal with a
flat (constant) power spectral density. In other words, a signal that contains
equal power within any frequency band with a fixed width. The term is used,
with this or similar meanings, in many scientific and technical disciplines,
including physics, acoustic engineering, telecommunications, statistical
forecasting, and many more. (Rigorously speaking, "white noise"
refers to a statistical model for signals and signal sources, rather than to
any specific signal.)
The term is also used for a discrete signal whose samples are
regarded as a sequence of serially uncorrelated random variables with zero mean
and finite variance. Depending on the context, one may also require that the
samples be independent and have the same probability distribution. In
particular, if each sample has a normal distribution with zero mean, the signal
is said to be Gaussian white noise. In digital image processing, the pixels
of a white noise image are often assumed to be independent random variables
with uniform distribution over some interval.
Some "white noise" sound.
An infinite-bandwidth white noise signal is a purely
theoretical construction. The bandwidth of white noise is limited in practice
by the mechanism of noise generation, by the transmission medium and by finite
observation capabilities. Thus, a random signal is considered "white
noise" if it is observed to have a flat spectrum over the range of frequencies
that is relevant to the context. For an audio signal, for example, the relevant
range is the band of audible sound frequencies, between 20 to 20,000 Hz. Such a
signal is heard as a hissing sound, resembling the /sh/ sound in
"ash". In music and acoustics, the term white noise may be used for
any signal that has a similar hissing sound.
White noise draws its name from white light, which is
commonly (if incorrectly) assumed to have a flat power spectral density over
the visible band.
The term is sometimes used in non technical contexts, in the
metaphoric sense of "random talk without meaningful contents".