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White Noise
(redirected from Whitening transformation)

   Also found in: Dictionary/thesaurus, Medical, Financial, Wikipedia 0.03 sec.
white noise
A random signal of every frequency in the audio spectrum, all of which have an average uniform power level. White noise is generated for a variety of purposes, including masking sounds in a room, testing loudspeakers for distortion and coloration and to provide input to a synthesizer, which uses filters to derive all of its sounds. Contrast with pink noise and Gaussian noise.
white noise
a. sound or electrical noise that has a relatively wide continuous range of frequencies of uniform intensity
b. noise containing all frequencies rising in level by six decibels every octave

white noise [′wīt ‚nȯiz]
(physics)
Random noise that has a constant energy per unit bandwidth at every frequency in the range of interest.

white noise
Noise having a flat spectrum over the frequency range of interest; the acoustic power per unit-frequency is substantially independent of frequency.

White Noise 

a generalized stochastic process of the type

where ϕ(t) is a finite function and X(t) is a stochastic process with zero mathematical expectation and with the correlation function B(s, t) = δ(s – t). The generalized function δ is determined by the formula

for any finite functions ϕk(t), where k = 1,2. This process is a stationary stochastic process with a spectral density f(λ) = ½π, –∞ <λ < ∞, and with an absolutely continuous spectral measure

F(Δ) = ʃΔf(λ)dλ

White noise is used as a mathematical model in theoretical studies. Noise of any nature that has a uniform spectrum in a finite band of frequencies, such as the noise of electronic tubes, atmospheric noise, and oceanic noise, can be approximated quite well by the white-noise process.

REFERENCE

Prokhorov, Iu. V., and Iu. A. Rozanov. Teoriia veroiatnostei, 2nd ed. Moscow, 1973.


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