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Examples

Half-sample delay:

$\displaystyle {\hat y}\left(n-\frac{1}{2}\right)
\;=\;\frac{1}{2} \cdot y(n) + \frac{1}{2}\cdot y({\hat y}\left(n-\frac{1}{2}\right)
$

Quarter-sample delay:

$\displaystyle {\hat y}\left(n-\frac{1}{4}\right)
\;=\;\frac{3}{4} \cdot y(n) + \frac{1}{4}\cdot y(n-1)
$


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Download Interpolation.pdf
Download Interpolation_2up.pdf
Download Interpolation_4up.pdf
Visit the online book containing this material.

``Bandlimited Interpolation, Fractional Delay Filtering, and Optimal FIR Filter Design'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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