Offtopic - sampling problem

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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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