The quantized interpolation factor and its complement are representable as
where, since $\eta,\overline{\eta }$ are unsigned, [画像:$\vert\nu\vert\leq 2^{-({n_\eta }+1)}$]. The interpolated coefficient look-up then gives
where second-order errors $\nu\epsilon_0$ and $\nu\epsilon_1$ are dropped.
Since
[画像:$\vert h(t_1)-h(t_0)\vert\leq M_1$], we obtain the error bound
![画像:\begin{eqnarray*} \hat{h}_{qq}(t) &=& (\overline{\eta }-\nu)[h(t_0)+\epsilon_0] + (\eta+\nu)[h(t_1)+\epsilon_1] \\ &=& \hat{h}(t) + \overline{\eta }\epsilon_0 + \eta\epsilon_1 + \nu[h(t_1)-h(t_0)], \end{eqnarray*}](/index.cgi/larger-text/https://ccrma.stanford.edu/~jos/resample/img109.png){kind=link}
