| M. Keshner, "1=f noise," Proc. of the IEEE, vol. 70, pp. 212--218, March 1982. |
.... peaks comes from the existing analogies between the wavelet frequency domain dyadic subdivision and the 1 f like spectral behavior of the sidebands [5, 6] Also, the name fractal additive synthesis comes from the selfsimilarity properties of both the wavelets and the 1 f noise (see [7,8] and [9,10] respectively) Figure 1: Magnitude Fourier transform of a gong. The separation of the 1 k ff like segments, i.e. of the sidebands, is achieved by means of a Modified Discrete Cosine Transform (MDCT) 11] The whole structure given by the MDCT followed by the WT forms the Harmonic Band ....
....means of a recursive analysis at the cost of an increasing number of parameters. 0 0.05 0.1 0.15 0.2 0.25 0 50 freq. rad] Magnitude Fourier Transform [dB] 0 100 200 300 400 4 2 0 2 4 6 partial inharmonic CMFB coeff. 0 20 40 60 20 10 0 10 20 partial scale coeff. Figure 9 : a) Magnitude Fourier transform of a gong. The x s denote the detected partials. b) The output of the two channels of the inharmonic CMFB corresponding to the first partials (the circled peak of figure a) c) The scale coefficients resulting from the wavelet analysis of the coefficients of ....
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M. S. Keshner, "1/f Noise," Proc. IEEE, Vol. 70, No 3, pp. 212-218, March 1982.
....m, m being a non integer number. For this reason, this mathematical tool could be judged far from reality . But many physical phenomena have intrinsic fractional order description and so fractional order calculus is necessary in order to explain them. Transmission lines [1] electrical noises [2 3], dielectric polarization [4] and heat transfer phenomena [5] are some of the fields having Non Integer Order physical laws. 2 An overview on non integer order systems The most common definition of non integer order integral is the following [6 7] d q f(t) dt q 1 #(q) f(#)d# ....
M. S. Keshner, " 1/f Noise", Proceedings of the IEEE, vol. 70, N 3, pp. 212-218, March 1982.
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M. Keshner, "1=f noise," Proc. of the IEEE, vol. 70, pp. 212--218, March 1982.
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