Filter Order Estimation (Butterworth) (G Dataflow)

${\mathrm{\Omega }}_p={\mathrm{\Omega }}_{p1}$

${\mathrm{\Omega }}_s={\mathrm{\Omega }}_{s1}$

${\mathrm{\Omega }}_p=1/{\mathrm{\Omega }}_{p1}$

${\mathrm{\Omega }}_s={1/\mathrm{\Omega }}_{s1}$

$\begin{array}{c}{\mathrm{\Omega }}_p={\mathrm{\Omega }}_{p2}-{\mathrm{\Omega }}_{p1}\end{array}$

$\begin{array}{c}{\mathrm{\Omega }}_s=\min \left(|{\mathrm{\Omega }}_{s1}-\frac{{\mathrm{\Omega }}_{p1}{\mathrm{\Omega }}_{p2}}{{\mathrm{\Omega }}_{s1}}|,|{\mathrm{\Omega }}_{s2}-\frac{{\mathrm{\Omega }}_{p1}{\mathrm{\Omega }}_{p2}}{{\mathrm{\Omega }}_{s2}}|\right)\end{array}$

$\begin{array}{c}{\mathrm{\Omega }}_p=\max \left(\left|\frac{1}{{\mathrm{\Omega }}_{p1}-\frac{{\mathrm{\Omega }}_{s1}{\mathrm{\Omega }}_{s2}}{{\mathrm{\Omega }}_{p1}}}\right|,\left|\frac{1}{{\mathrm{\Omega }}_{p2}-\frac{{\mathrm{\Omega }}_{s1}{\mathrm{\Omega }}_{s2}}{{\mathrm{\Omega }}_{p2}}}\right|\right)\end{array}$

$\begin{array}{c}{\mathrm{\Omega }}_s=\frac{1}{{\mathrm{\Omega }}_{s2}-{\mathrm{\Omega }}_{s1}}\end{array}$