Forward-difference

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For the forward-difference scheme

  1. start with n being the lowest number bin of the range over which the structure function is to be evaluated (number of bins in range must exceed nmax
    1. start with <math>\delta</math> = 1
    2. compute the second order structure function D(n,<math>\delta</math>) as the segment mean of the square of the velocity difference between the bin n and bin n + <math>\delta</math>:

      D(n, <math>\delta</math>) = <math>\langle</math> [v’(n, t) - v’(n+<math>\delta</math>, t)]2 <math>\rangle</math>

      where the angled brackets indicate the mean across all t for the data segment yielding a velocity difference after the application of the Level 1 QC criteria
    3. increment <math>\delta</math> and repeat steps until <math>\delta</math> = nmax or n + <math>\delta</math> exceeds the last bin of the range over which the structure function is to be evaluated
  2. increment n and repeat steps until n + 1 is the last bin of the range over which the structure function is to be evaluated