Hi all,
Reading one of the exercises mentioned in Miller's book, I came across
the fact that 4 point interpolation may introduce values out of boundaries.
------ Excerpt start-------
(p.58)
If a wavetable's contents all fall between -1 and 1 in value, what is
the range of possible outputs of wavetable lookup using 4-point
interpolation?
------ Excerpt end -------
So I tried create a 4 point table
-1 1 1 -1
and fed an index of 1.5
[1.5{
|
[tabread4]
The output is 1.25
I've only taken a rough guess that a curve connecting the 4 points in
the table I mentioned will exceed the range of -1 to 1.
What is the correct answer to this question, and how can it be answered
more mathematically?
--
David Shimamoto