StepModel._create_basis_border¶

StepModel._create_basis_border()¶

This function creates the basis part in every bin of the Step model for the diffusion profile. The dimension of the basis matrix is \(n_{bin} \times n_{diff}\). At the bin border the basis is calculated with

\[\begin{split}\mathrm{basis} = \begin{cases} 1 & (\mathrm{bin}+1)\geq \Delta x\ \& \ (\mathrm{bin}+1)\leq n_{\mathrm{bin}}-\Delta x \\ 0 & \mathrm{else} \ \end{cases}\end{split}\]

hereby is \(bin = [0,...,n_{\mathrm{bin}}]\) with \(n_{\mathrm{bin}}\) as the number of the bins. The variable \(\Delta x\) is define by

\[\Delta x = \left [ 0,i \cdot \frac{n_{\mathrm{bin}}}{n_{\mathrm{diff}} \cdot 2},\frac{n_{\mathrm{bin}}}{2} \right ]\]

with \(i = [1,...,n_{\mathrm{diff}}-1]\).