Re: Offtopic - sampling problem
- Posted by Dan Moyer <DANIELMOYER at prodigy.net> Jan 27, 2002
- 437 views
Mike, Go to archives, get the simultaneous equations solver by Laurence Draper, "simul.e"; change the main function "Solve_Simultaneous" to a global function; then run this modification of his example that has just your perceived data in it, and it will give you the original actual data: -- tested code follows: include simul.e sequence A --Matrix of coefficients sequence b --Column vector of results sequence x --Column vector of solutions A = {{.5,.25,0,0,0,0,0,0,0}, {.25,.5,.25,0,0,0,0,0,0}, {0,.25,.5,.25,0,0,0,0,0}, {0,0,.25,.5,.25,0,0,0,0}, {0,0,0,.25,.5,.25,0,0,0}, {0,0,0,0,.25,.5,.25,0,0}, {0,0,0,0,0,.25,.5,.25,0}, {0,0,0,0,0,0,.25,.5,.25}, {0,0,0,0,0,0,0,.25,.5}} b = {1.5, 2.75, 3.5, 4.75, 5.75, 5.5, 5.5, 6.25, 4.25} if length(A[1]) = length(b) then dimension = length(A[1]) x = Solve_Simultaneous(A,b) ? x else puts(1, "Matrices are incorrect size!!!!") end if -- code ends This will handle your *simplified* example. Dan Moyer ----- Original Message ----- From: "Mike" <vulcan at win.co.nz> To: "EUforum" <EUforum at topica.com> Sent: Saturday, January 26, 2002 1:09 PM Subject: Offtopic - sampling problem > > Hi All, > > I am trying to solve a sampling problem and I have simplified it as > below. > Imagine this set contains precisely accurate real-world data that we > wish to record into > the computer (could be temperature or anything) > > 1, 4, 2, 6, 5, 7, 3, 9, 4 > > Now, suppose we tried to capture each iteration with a sampling system > that was not > focussed narrowly enough and so each sampled value acquired contained > some overlap > from each adjacent value, assuming a spread of 25%, 50%, 25% we would > get: > > 1.5, 2.75, 3.5, 4.75, 5.75, 5.5, 5.5, 6.25, 4.25 > > Each captured value tends to get "smeared" toward the average value > > My Question is this: Does anyone know of or could point to a way to > focus > the 2nd sample set back to the original set? > > Any help on this is really appreciated. > > Yours truly > Mike > vulcan at win.co.nz > > > >