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mdznq1d(2) Scilab Function mdznq1d(2)
NAME
mdznq1d - Discrete partition function estimation on 1d measure
Author: Christophe Canus
This routine computes the discrete partition function on a pre-multifractal
1d measure.
Usage
[mznq]=mdznq1d(mu_n,n,q)
Input parameters
o mu_n : strictly positive real vector Contains the pre-multifractal
measure.
o n : strictly positive real (integer) vector Contains the resolu-
tions.
o q : strictly positive real vector Contains the exponents.
Output parameters
o mznq : real matrix [size(q),size(n)] Contains the partition func-
tion.
Description
Parameters
The discrete partition function mznq is computed on the pre-multifractal 1d
measure mu_n. The vector of resolutions n and the vector of exponents q
sets the size of the output real matrix mznq to size(q)*size(n).
Algorithm details
The discrete partition function mznq is computed by coarse-graining masses
mu_n into non-overlapping boxes of increasing diameter (box method). If
nu_n is a power of 2, n corresponds to the resolution.
See also
mdzq2d,reynitq,linearlt,mdfl1d,mdfl2d.
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