FRACLAB Functions |
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Generates a pre-multifractal deterministic measure related to Multinomial Measure
MES = multinom(BASE,S,VP)
[MES,fs] = multinom(...,'spec')
MES = multinom(BASE,S,VP) Generates the pre-multifractal deterministic measure, MES, using a base of the multinomial, BASE, a number of scales, S and a vector VP containing the weight coefficients. The parameters BASE and S are positive integers not smaller than 2, the elements in the parameter VP are reals in(0,1).
The sample size, N, of the generated signal is defined by the base value and the number of scales : N = BASE^S |
[MES,fs] = multinom(...) Generates the pre-multifractal deterministic measure, MES, and computes the associated theoretical multifractal spectrum, fs. The output fs is a structure that contains the exponents, fs.exp and the spectrum, fs.spec.
B = 2; S = 10; N = B^S; t = linspace(0,1,N);
x = multinom(B,S,[0.4;0.6]);
figure; plot(t,x);
title('Pre-multifractal measure with deterministic multinomial'); xlabel('time')
[1] Carl J. G. Evertsz and Benoit B. MandelBrot, "Multifractal Measures", Chaos and Fractals, New Frontiers of Science, Appendix B,
Peitgen, Juergens and Saupe, Springer Verlag, Springer Verlag (1992) 921-953.
[2] Benoit B. MandelBrot, "A class of Multinomial Multifractal Measures with negative (latent) values for the 'Dimension' f(alpha)",
Fractals' Physical Origins and Properties, Proceeding of the Eric Meeting, 1988, L. Pietronero, Plenum Press, New York (1989) 3-29.
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msmornhulen | multinom2d | ![]() |