BSL PRO Software Guide - Biopac

Acquisition Functions 97Integrate — formulasThe Integrate formula is the same in the calculation (online, real-time) mode and the transformation (off-line, postprocessing)mode, and varies only based on the parameters selected.Note:For the first points, value of index “i” will be less than or equal to zero; it means that forf .summation you have only values beginning with x 1For the first point for summation you have: f x 1 , f x 0, f x 1 .f x 1 and f x 0 - don’t exist, so you have only f x 1 .For the second point for summation you have: f x 0, f x 1 , x 2f - doesn’t exist, so you have only f + f .x 0Via samples, no extra parameters selectedFjxj f xi*xi j s 1Where:i - index for source values (***the real range is 1..j);j - index for destination values (1..n);n - number of samples;x , x - values of points at horizontal axis;fiFx ix jj- values of points of a curve;- integrated values of points of a curve;x 1x 2f .s – number of samples to average across;xn x1x - horizontal sample interval;n 1x n, x 1- values at horizontal axis at the endpoints of selected area.2. Via samples, rectifyFjxj ABS f xii j s 1 *xWhere:i - index for source values (***the real range is 1..j);j - index for destination values (1..n);n - number of samples;x , x - values of points at horizontal axis;fiFx ix jj- values of points of a curve;- integrated values of points of a curve;s – number of samples to average across;xn x1x - horizontal sample interval;n 1x n, x 1- values at horizontal axis at the endpoints of selected area.Integrate formulas, continued…