FIVEGScFunc: Generate the scaling function SCF [SCF]=FIVEGScFunc(U,PSC,NLS) Where: U: is the universe (a vector of discrete values in increasing order), PSC: contains the points of the scaling function PSC: S where S is the scaling value of the whole universe, or PSC: P1,S1;P2,S2;... where P is the point, S is the scaling function value, or PSC: P1,S1l,S1r;P2,S2l,s2r;... where P is the point, Sl the left, Sr the right scaling function value. NLS: optional, if not given: linear scaling function approximation if given: NLS is the constant factor of sensitivity for neighbouring scaling factor differences in nonlinear scaling function approximation SCF: is the generated scaling function (scaling factors according to the elements of U) In case of U,PSC,SCF the rows are the dimensions In nonlinear case, the scaling function is approximated by the following function (y = 1/(x^w)) between the neighbouring scaling factor values (Pn,Pn+1): SCF(x)=w.*(((d+1)./(x+1)).^w-1)./((d+1).^w-1), or SCF(x)=w.*(((d+1)./(d-x+1)).^w-1)./((d+1).^w-1), where w = NLS*abs(S(n+1)-S(n)), d=P(n+1)-P(n)

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Generated on Fri 05-Sep-2008 09:37:47 by