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FIVEGScFunc

PURPOSE ^

FIVEGScFunc: Generate the scaling function SCF

SYNOPSIS ^

function [SCF]=FIVEGScFunc(U,PSC,NLS)

DESCRIPTION ^

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)

CROSS-REFERENCE INFORMATION ^

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