Re: Offtopic - sampling problem
Mike,
Here's the best I can observe:
let: a b c d e f g h i be the actual original values;
let: A B C D E F G H I be the perceived values;
then:
A = .25x0 + .5a + .25b
B = .25a + .5b + .25c
C = .25b + .5c + .25d
D = .25c + .5d + .25e
E = .25d + .5e + .25f
F = .25e + .5f + .25g
G = .25f + .5g + .25h
H = .25g + .5h + .25i
I = .25h + .5i + .25x0
This is a set of 9 equations in 9 unknowns, which should(?) be solvable.
I suppose you might use matrices to solve them (or just substitution), but
longer sample lengths would probably(?) be prohibitive. If you do have
longer samples, I suppose you could arbitrarily select groups of data of
some size and "throw-away" the values before the beginning & after the end
of each group (call them whatever the average is?), and "solve" each group
separately? Dunno if that's a help or not.
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
>
>
>
>
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