Lagrange Interpolation Coefficients for Orders 1, 2, 3

$$\begin{array}{\vert\vert r\vert\vert c\vert c\vert c\vert c\... ... & \frac{\Delta(\Delta-1)(\Delta-2)}{6} \\ \hline \end{array}$$

• For $N=1$, Lagrange interpolation reduces to linear interpolation
  $h = [1-\Delta,\Delta]$, as before

• For order $N$, desired delay should be in a one-sample range centered about $\Delta=N/2$