The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
1/f noise
Abstract
1/f noise is a nonstationary random process suitable for modeling evolutionary or developmental systems. It combines the strong influence of past events on the future and, hence somewhat predictable behavior, with the influence of random events. Nonstationary autocorrelation functions for 1/f noise are developed to demonstrate that its present behavior is equally correlated with both the recent and distant past. The minimum amount of memory for a system that exhibits 1/f noise is shown to be one state variable per decade of frequency. The system condenses its past history into the present values of its state variables, one of which represents an average over the most recent 1 unit of time, one for the last 10 time units, 100 units, 1000, 10000, and so on. Each such state variable has an equal influence on present behavior.
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Citations
Cites
Probability, Random Variables, and Stochastic Processes
Miller, I. (1966) · Technometrics · doi:10.1080/00401706.1966.10490365 · Cited by 8,452
Fractional Brownian Motions, Fractional Noises and Applications
Mandelbrot, B. B., & Van Ness, J. W. (1968) · SIAM Review · doi:10.1137/1010093 · Cited by 7,645
(1954) · Journal of the Franklin Institute · doi:10.1016/0016-0032(54)90711-5 · Cited by 2,794
Some long‐run properties of geophysical records
Mandelbrot, B. B., & Wallis, J. R. (1969) · Water Resources Research · doi:10.1029/wr005i002p00321 · Cited by 991
’’1/f noise’’ in music: Music from 1/f noise
Voss, R. F., & Clarke, J. (1978) · The Journal of the Acoustical Society of America · doi:10.1121/1.381721 · Cited by 379
Some noises withI/fspectrum, a bridge between direct current and white noise
Mandelbrot, B. B. (1967) · IEEE Transactions on Information Theory · doi:10.1109/tit.1967.1053992 · Cited by 316
Fluctuation phenomena in nerve membrane
Verveen, A. A., & Derksen, H. E. (1968) · Proceedings of the IEEE · doi:10.1109/proc.1968.6443 · Cited by 161
1/f (Flicker) Noise: A Brief Review
Voss, R. F. (1979) · Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium (EFTF/IFCS) · doi:10.1109/freq.1979.200297 · Cited by 77
Cited by
The Pacific Decadal Oscillation, Revisited
Newman, M., Alexander, M. A., Ault, T. R., Cobb, K. M., Deser, C., Di Lorenzo, E., Mantua, N. J., Miller, A. J., Minobe, S., Nakamura, H., et al. (2016) · Journal of Climate · doi:10.1175/jcli-d-15-0508.1 · Cited by 1,318
Cognitive emissions of 1/f noise.
Gilden, D. L. (2001) · Psychological Review · doi:10.1037/0033-295x.108.1.33 · Cited by 516
Respiratory modulation of human autonomic rhythms
Badra, L. J., Cooke, W. H., Hoag, J. B., Crossman, A. A., Kuusela, T. A., Tahvanainen, K. U. O., & Eckberg, D. L. (2001) · American Journal of Physiology-Heart and Circulatory Physiology · doi:10.1152/ajpheart.2001.280.6.h2674 · Cited by 195
Phase noise and timing jitter in oscillators with colored-noise sources
Demir, A. (2002) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/tcsi.2002.805707 · Cited by 193
Demir, A. (2006) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2006.881184 · Cited by 184
Metadata
- Authors
- Keshner, M. S.
- Venue
- Proceedings of the IEEE
- Published
- 1982
- Volume
- 70
- Issue
- 3
- Pages
- 212-218
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W1979731145
- Cited by
- 759
- References
- 8
- FWCI
- 1.95
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
