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Pink noise

Pink noise, 1f noise, fractional noise or fractal noise is a signal or process with a frequency spectrum such that the power spectral density (power per frequency interval) is inversely proportional to the frequency of the signal. In pink noise, each octave interval (halving or doubling in frequency) carries an equal amount of noise energy.

"Fractal noise" redirects here. For the novel, see Fractal Noise.

Pink noise sounds like a waterfall.[2] It is often used to tune loudspeaker systems in professional audio.[3] Pink noise is one of the most commonly observed signals in biological systems.[4]


The name arises from the pink appearance of visible light with this power spectrum.[5] This is in contrast with white noise which has equal intensity per frequency interval.

Audio testing[edit]

Pink noise is commonly used to test the loudspeakers in sound reinforcement systems, with the resulting sound measured with a test microphone in the listening space connected to a spectrum analyzer[3] or a computer running a real-time fast Fourier transform (FFT) analyzer program such as Smaart. The sound system plays pink noise while the audio engineer makes adjustments on an audio equalizer to obtain the desired results. Pink noise is predictable and repeatable, but it is annoying for a concert audience to hear. Since the late 1990s, FFT-based analysis enabled the engineer to make adjustments using pre-recorded music as the test signal, or even the music coming from the performers in real time.[61] Pink noise is still used by audio system contractors[62] and by computerized sound systems which incorporate an automatic equalization feature.[63]


In manufacturing, pink noise is often used as a burn-in signal for audio amplifiers and other components, to determine whether the component will maintain performance integrity during sustained use.[64] The process of end-users burning in their headphones with pink noise to attain higher fidelity has been called an audiophile "myth".[65]

Bak, P.; Tang, C.; Wiesenfeld, K. (1987). "Self-Organized Criticality: An Explanation of 1/ƒ Noise". . 59 (4): 381–384. Bibcode:1987PhRvL..59..381B. doi:10.1103/PhysRevLett.59.381. PMID 10035754. S2CID 7674321.

Physical Review Letters

Dutta, P.; Horn, P. M. (1981). "Low-frequency fluctuations in solids: 1/ƒ noise". . 53 (3): 497–516. Bibcode:1981RvMP...53..497D. doi:10.1103/RevModPhys.53.497.

Reviews of Modern Physics

Field, D. J. (1987). (PDF). Journal of the Optical Society of America A. 4 (12): 2379–2394. Bibcode:1987JOSAA...4.2379F. CiteSeerX 10.1.1.136.1345. doi:10.1364/JOSAA.4.002379. PMID 3430225.

"Relations Between the Statistics of Natural Images and the Response Profiles of Cortical Cells"

Gisiger, T. (2001). "Scale invariance in biology: coincidence or footprint of a universal mechanism?". . 76 (2): 161–209. CiteSeerX 10.1.1.24.4883. doi:10.1017/S1464793101005607. PMID 11396846. S2CID 14973015.

Biological Reviews

Johnson, J. B. (1925). "The Schottky effect in low frequency circuits". . 26 (1): 71–85. Bibcode:1925PhRv...26...71J. doi:10.1103/PhysRev.26.71.

Physical Review

Kogan, Shulim (1996). Electronic Noise and Fluctuations in Solids. . ISBN 978-0-521-46034-7.

Cambridge University Press

Press, W. H. (1978). (PDF). Comments on Astrophysics. 7 (4): 103–119. Bibcode:1978ComAp...7..103P. Archived (PDF) from the original on 2007-09-27.

"Flicker noises in astronomy and elsewhere"

Keshner, M. S. (1982). "1/ƒ noise". . 70 (3): 212–218. doi:10.1109/PROC.1982.12282. S2CID 921772.

Proceedings of the IEEE

Chorti, A.; Brookes, M. (2007). "Resolving near-carrier spectral infinities due to 1/f phase noise in oscillators". 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07. Vol. 3. pp. III–1005–III–1008. :10.1109/ICASSP.2007.366852. ISBN 978-1-4244-0727-9. S2CID 14339595.

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Coloured Noise: Matlab toolbox to generate power-law coloured noise signals of any dimensions.

Powernoise: Matlab software for generating 1/f noise, or more generally, 1/fα noise

1/f noise at Scholarpedia

White Noise Definition Vs Pink Noise