bg_homfractal

Background due to a homogeneous spin distribution in a fractal dimension

Syntax

info = bg_homfractal()
P = bg_homfractal(t,param)
P = bg_homfractal(t,param,lambda)
Inputs
  • t – Time axis (N-array)
  • param – Model parameters
  • lambda – Modulation amplitude (between 0 and 1)
Outputs
  • B – Model background (N-array)
  • info – Model information (struct)

Model

This implements the background due to a homogeneous distribution of spins in a d-dimensional space, with d-dimensional spin concentration c_d.

Variable Symbol Default Lower bound Upper bound Description
param(1) c_d 50 0.01 5000 Spin concentration (μmol/dmd)
param(2) d 3 0 6 Fractal dimension

Description

info = bg_homfractal()

Returns an info structure containing the specifics of the model:

  • info.model – Full name of the parametric model.
  • info.nparam – Total number of adjustable parameters.
  • info.parameters – Structure array with information on individual parameters.
B = bg_homfractal(t,param)

Computes the background model B from the axis t according to the parameters array param for a modulation amplitude lambda=1. The required parameters can also be found in the info structure.

B = bg_homfractal(t,param,lambda)

Computes the background model B for a given modulation amplitude lambda.