time2dist

Conversion from time-axis to distance-axis

Warning

This is a legacy function. Its use is not recommended for routine or accurate data analysis.


Syntax

r = time2dist(t)
[r,rmin,rmax] = time2dist(t)
Parameters
  • t - Signal vector (N-element array)
  • M - Output length (scalar)
Returns
  • r - Distance Axis (M-element array)

Description

[r,rmin,rmax] = time2dist(t)

Computes the N-point distance axis r according to the input time axis t. The minimal and maximal distances rmin, rmax are determined by the empirical approximations derived by Gunnar Jeschke as implemented in the older DeerLab versions.


[r,rmin,rmax] = time2dist(t,M)

The length of the output axis can be specified by the parameter M.


These empirical equation approximate the minimal and maximal detectable distances given a certain time step \Delta t and trace length t_\text{max}.

r_\text{min} = 4\left( \frac{4\Delta t \nu_0}{0.85} \right)^{1/3}

r_\text{max} = 6\left( \frac{t_\text{max}}{2} \right)^{1/3}

where \nu_0 = 52.04 MHz is the dipolar frequency of between two nitroxide electron spins separated by 1 nm.