derivfrac3D.m
E. Koenig, 08/04/2010
Pseudo-fractional derivation of a 3D field.
This operation is seen as the inverse of the pseudo-fractional integration. It preserves the scale invariance of the initial 3D field. It is realized by a high-pass filter in k^H in the Fourier domain.
The initial field is scale invariant and characterized by
The pseudo-fractional derivation will create a rougher, more intermittent version of the initial field. This new field is scale invariant and characterized by
Contents
Use
y = derivfrac3D(x, H, S, zero);
Inputs
- x: input 3D field
- H: parameter of the high-pass filter
- S: size of the initial filed
- zero: 1 - management of k=0, 0 - else (default)
Outputs
- y: derived 3D field.