The following relationship estimates the order of a lowpass filter designed with the minimax approach (Rabiner et

Question:

The following relationship estimates the order of a lowpass filter designed with the minimax approach (Rabiner et al., 1975). Design a series of lowpass filters and verify the validity of this estimate ( $\Omega_{\mathrm{s}}$ is the sampling frequency):

\[M \approx \frac{D_{\infty}\left(\delta_{\mathrm{p}}, \delta_{\mathrm{r}}\right)-f\left(\delta_{\mathrm{p}}, \delta_{\mathrm{r}}\right)(\Delta F)^{2}}{\Delta F}+1\]

where

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