I guess your problem description is not entirely clear. So we are starting out with an array S(t). After exponential multiplication and integration, we are left with a single value, according to your description, so it's more "data reduction" than filtering.
Are you sure that's what you want? What exactly should the result be, I can think of a few possible alternative interpretations, e.g.: (1) You are looking for the scalar value of the integral. (2) You are looking for a new signal where each point is the integral up to that point. (3) You are looking for a point-by-point type implementation, where you apply this function to a sliding window, replacing the signal with the filtered values as you go. (4) etc. In any case, all this is simple math and the LabVIEW diagram will probably fit the size of a postage stamp. Please give a bit more detail and I'll wire something up.
