
Synthesizer.Interpolation.Module 


Description 
Special interpolations defined in terms of Module operations.


Synopsis 



Documentation 


interpolation as needed for resampling




Consider the signal to be piecewise constant.



Consider the signal to be piecewise linear.



Consider the signal to be piecewise cubic,
with smooth connections at the nodes.
It uses a cubic curve which has node values
x0 at 0 and x1 at 1 and derivatives
(x1xm1)2 and (x2x0)2, respectively.
You can see how it works
if you evaluate the expression for t=0 and t=1
as well as the derivative at these points.



The interpolators for module operations
do not simply compute a straight linear combination of some vectors.
Instead they add then scale, then add again, and so on.
This is efficient whenever scaling and addition is cheap.
In this case they might save multiplications.
I can't say much about numeric cancellations, however.




piecewiseConstant :: C t y => T t y  Source 




piecewiseCubic :: (C t, C t y) => T t y  Source 



:: C t y   => (Int, Int)  (left extent, right extent), e.g. (1,1) for linear hat
 > t > t   > T t y   with this wrapper you can use the collection of interpolating functions from Donadio's DSP library



Produced by Haddock version 2.4.2 