1/f noise ("one-over-f noise", occasionally called "flicker noise" or "pink noise") is a type of noise whose power spectra P(f) as a function of the frequency f behaves like: P(f) = 1/fa , where the exponent a is very close to 1 (that's where the name "1/f noise" comes from). If we mix visible light with different frequencies according to 1/f distribution, the resulting light may be pinkish (that's what other people says, I've never done an experiment to confirm it though!) Mixtures using other distributions should have different colors. For example, if the distribution is flat, the resulting light is white (so noise with P(f)=constant power spectra is called "white noise") [see also, colors of noise]. 1/f noise appears in nature all over the places (a frequently-used word to describe this situation is "ubiquitous"). This bibliography is an attempt to show this fact.

Let me classify the publications on 1/f noise by the following categories: General References General Review of 1/f Phenomena [10 entries] Conference Proceedings on 1/f Noise Universal Aspects of 1/f Noise Models and Theories of 1/f Noise [41 entries] Mathematical and Statistical Properties of 1/f Noise [36 entries] 1/f Noise in Dynamical System Models [24 entries] Experimental Detection of 1/f Noise [1 entry ] Specific Examples of 1/f Noise 1/f Noise in Electronic Devices [140 entries] 1/f Noise in Electronic Devices: MOS [54 entries] 1/f Noise in Electronic Devices: Reviews and Models [22 entries] 1/f and 1/f2 Noise in Financial Data [19 entries] 1/f Noise in Network Traffic [18 entries] 1/f Noise in Biology (Miscellaneous) [16 entries] 1/f Noise in Ecological Systems [15 entries] 1/f Noise in Heartbeat [13 entries] 1/f Noise in Music and Speech [9 entries] 1/f Noise in Electrochemical Systems [8 entries] 1/f Noise in Traffic Flow [8 entries] 1/f Noise in Granular Flow [8 entries] 1/f Noise in Human Coordination [8 entries] 1/f Noise in DNA Sequences [7 entries] 1/f Noise in Cognition, Psychology and Psychiatry [7 entries] 1/f Noise in Astronomy [6 entries] 1/f Noise in Geophysical Records [5 entries] 1/f Noise in Neuro Systems [5 entries] 1/f Noise in Magnetic Systems [5 entries] 1/f Noise in Chemical Systems [4 entries] 1/f Noise in Meteorology [3 entries] 1/f Noise in Number Systems [3 entries] 1/f Noise in Radioactive Decay [1 entry] 1/f Noise in Optical Systems [1 entry] 1/f Noise (or related topics) in Leaking Faucet [1 entry] 1/f Noise in Written Language [1 entry] 1/f Noise in Work-Related Tardiness [1 entry] 1/f2 Noise 1/f2 Noise in Images [16 entries] Do Not Forget to Square Your Fourier Amplitudes [5 entries] Mathematical Properties of 1/f2 Noise [1 entry] Other long-memory processes Mathematical studies of long-memory processes [64 entries] total number of papers= 586 External links: A new journal: Fluctuation and Noise Letters, at http://www.nano.angstrom.uu.se/FNL/ or http://journals.wspc.com.sg/fnl/fnl.html or http://ejournals.wspc.com.sg/fnl/fnl.shtml Robin Whittle's DSP (digital signal processing) generation of 1/f noise, at http://www.firstpr.com.au/dsp/pink-noise/ Open forum for fluctuation phenomena, at http://www.fluctuations.org/ Allan variance, at http://www.allanstime.com/AllanVariance/ Univ Louisiana at Lafayette: http://www.electricalnoise.net/ 1/f design (?): http://home.ksp.or.jp/yuragi/ (in Japanese) Real-time Wavelet-transform spectrum analyzer for the investigation of 1/fa noise: http://lxmi.mi.infn.it/labgiglio/WTSA.htm "An air conditioner for exchanging heat from a refrigerant to the outside and adjusting at least one of room temperature and humidity to desired temperature and humidity and having a 1/f fluctuation function for controlling an air supplying means for supplying conditioned air to the room so as to vary the air supplying amount in multiple levels corresponding to a designated reference air amount and irregularly. A reference air amount of the air supplying means can be designated and there is an air amount control for controlling the air supplying means corresponding to the designated reference air amount, and a fluctuation width designates a fluctuation width (volume of the air amount) corresponding to the air amount designated. When the 1/f fluctuation function is employed, the fundamental functions (coolness, warmness, and so forth) of the air conditioner are improved. In addition, the noise of the air conditioner is reduced and the comfort of the user is improved. " Patent 5657640. Filed: Sep 14, 1995; Issued: Aug 19, 1997. This page is linked by... (via altavista) , ... (via google)

This bibliography as it stands now is incomplete. One reason is that I am compiling it on the side of my research. Needless to say, it would be nice if the bibliography is more complete. So if you have other relevant papers which do not appear here, please let me know ! you can either use my guestbook or send me email at wli@linkage.rockefeller.edu.

I acknowledge feedback, comments, suggestion of references from: Per Aronsson, Alexander Balandin, Peter Boggild, Doriano Brogioli, Oleg Bulashenko, Ed Bullmore, Enrique Canessa, Paolo Carlini, Keng-Hwee Chiam, Dan Clementi, Parsa Dagli, Yavuz Degerli, Jamal Deen, Paolo de los Rios, Peter Dimon, Ralph Hall, John Halley, Dilshat Hewzulla, Danny Kaplan, Bronius Kaulakys, Laszlo Kiss, Theo Kleinpenning, Maria Koleva, Yuriy Kuzovlev, Gabriel Landini, Mike Langer, Andrew Lo, Ognian Marinov, Sergei Maslov, Mihai Mihaila, Yamomoto Mitsuaki, Michel Planat, Jeffrey Pressing, Steve Rosenthal, Jagmit Sandhu, Serge Dos Santos, Enrico Scalas, Jeff Scargle, A.M. Selvam, Alexander Shulman, Adolph Smith, Andrew Straw, Misako Takayasu, Masato Toita, Shahrokh Yadegari, Masaaki Yoneda, Eric-Jan Wagenmakers, Norman Ward, Matthew Watkins, Robin Whittle, Marek Wolf, and Giovanni Zanella.