BSL PRO 4 Manual - Biopac

254 BSL PRO ManualThe Integrate formula is the same in the calculation (online, real-time) mode and the transformation (off-line,post-processing) mode; it varies only based on the parameters selected.Notes For the first points, value of index “i” will be less than or equal to zero; it means that forsummation you have only values beginning with f x 1 .x , 0f .o For the first point for summation you have: f x 1, f x 1f x 1and f x 0 - don’t exist, so you have only f x 1 .o 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 0x 1x 2f . The Integrate formula is implemented as a Standard Deviation formula (seemathworld.wolffram.com > Wolfram Research > equation 5 athttp://mathworld.wolfram.com/StandardDeviation.html). The Root Mean Square formula is identical to the Standard Deviation formula, but without meanremoval; this is the n-1 definition.o For an explanation of n-1 verus n in the formula, see notes as a pdf orhttp://www.uic.edu/classes/mba/mba503/971/503nts3.htm.o For a window size n, to convert from the n-1 definition to the n definition, use ( n 1) The formulas to calculate RMS are optimal for data with azero mean (typical for biopotential data). For data with a nonzeromean, scaling can be applied. Click the “Scaling” buttonin the Integrate dialog (or click the channel’s vertical scale togenerate the Vertical Scale dialog and then click the “Scaling”button), and then enter the following parameters:Input value Map (Scale) value10 7.07107-10 -7.07107n1. Via 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;i jx ix jf - values of points of a curve;F - 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.Visit the online support center at www.biopac.com