integfrac3D.m
E. Koenig, 08/04/2010
Pseudo-fractional integration of a 3D scale invariant field.
This operation preserves the scale invariance of the initial 3D field. It is realized by a low-pass filter in 1/k^H in the Fourier domain. The value at k=0 is set to the minimum k value which is not null.
The initial field is scale invariant and characterized by
and is very rough, intermittent.
The pseudo-fractional integration will create a smoother version of the initial field. This new field is still scale invariant and characterized by
Contents
Use
y = integfrac3D(x, H, S);
Inputs
- x: input 3D field
- H: parameter of the low-pass filter.
- S: size of the initial filed.
Outputs
- y: integrated 3D field.