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Due to uncertainty in it, noise prevents exact prediction of the future from the past. Noise is generally described by spectral densities of certain functional dependence on frequency. Years of research revealed relations between natural phenomena and noise spectral distributions of either man-made or natural sources of different spectral density signal content. However, since many random functions of noise appear in nature and in technology in power spectra and power law relations, certain categories of noise spectral density distributions are generally described as powers of frequency¸ being grouped in such a way that each one represents certain specific natural and man-made phenomena. On the other hand, most of the natural phenomena have fractal dimensions that combine together spectral behaviour that occurs in reality as can be seen by measurements results. The paper shows these functional descriptions of noise in terms of colours and their combination with fractals theories, which enable development of advanced technologies.
frequency dependent noise, stochastic fractals and noise, applications
[1] Rosenhouse, G., The essence of noise in nature with reference to acoustics. 6th Int. Conference on Design and Nature, eds. S. Hernandez & C.A Brebbia, Wit Press Southampton, pp. 3–13, 2012.
[2] Knudsen, V.O. Alford, R.S., Emling, J.W., Underwater ambient noise. J. Mar. Res., 22, pp. 410–429, 1948.
[3] Mellen, R.H., Thermal noise limit in the detection of underwater acoustic signals. J. Acoust. Soc. Am., 24, pp. 478–480, 1952. doi: http://dx.doi.org/10.1121/1.1906924
[4] Wenz, G.M. Acoustic ambient noise in the ocean: spectra and sources. J. Acoust. Soc. Am., 34(12), pp. 1936–1956, 1962. doi: http://dx.doi.org/10.1121/1.1909155
[5] Kerman, B.R., Underwater sound generation by breaking wind waves. J. Acoust. Soc. Am., 75(1), pp. 149–165, 1984. doi: http://dx.doi.org/10.1121/1.390409
[6] Urick R.J., Ambient Noise in the Sea, Naval Sea Systems Commands Dept. Navy, Washington D.C., 1984.
[7] Carey, W.M. & Richard, B.E., Ocean Ambient Noise Measurement and Theory, Springer, NY, p. 2, 2011. doi: http://dx.doi.org/10.1007/978-1-4419-7832-5_4
[8] Rosenhouse, G., The spectral effect of masking of intruding noise by environmental background noise. Acoustical Society of America, Spring 2014 Meeting, Providence, Rhode Island, 5–9 May, 2014. doi: http://dx.doi.org/10.1121/1.4892388
[9] Johnson, J.B., The Schottky effect in low frequency circuits. Phys. Rev. 26, pp. 71–85, 1925. doi: http://dx.doi.org/10.1103/physrev.26.71
[10] Johnson, J.B., Thermal agitation of electricity in conductors. Phys. Rev. 32, pp. 97–109, 1928. doi: http://dx.doi.org/10.1103/physrev.32.97
[11] Rosenhouse, G., ‘Smaller samples of the same properties are less vulnerable than larger ones’, as a general rule that emerges from the ‘tail statistics’. Int. J. of Design and Nature and Ecodynamics, 3(1), pp. 1–11, 2008. doi: http://dx.doi.org/10.2495/d&ne-v3-n1-1-11
[12] Barnes, J.A. & Allan, D.W., A statistical model for fl icker noise. Proc. IEEE, 54(2), pp. 176– 178, 1966. doi: http://dx.doi.org/10.1109/proc.1966.4630
[13] Pearson, K., The problem of random walk. Nature, 72(1865), pp. 294, 342, 1905. doi: http:// dx.doi.org/10.1038/072294b0
[14] Hurst, H.E., Long term storage capacity of reservoirs. Trans. Am. Soc. Civil Engineers, 116, pp. 770–799, 1951.
[15] Mandelbrot, B.B. & Van Ness, J.W., Fractional Brownian motions, fractional noises and applications. SIAM Review, 10(4), pp. 422–437, 1968. doi: http://dx.doi.org/10.1137/1010093