Suggested Modification to Filter A

From the discussion in this chapter it is evident that the expression for the filter A transfer function should be modified so that the approximation

$$H(s)\approx H_A(s)$$

is valid. It is therefore proposed that equation (2.1) on page should be changed to

$$H_A(s)=\prod_{n=1}^8{\sqrt{\frac{\alpha_{1}}{2 \pi\cdot 7 \sqrt[4]{7}}}\cdot\frac{s+\sqrt{7}\alpha_n}{s+\alpha_ n}}$$ (59)

where $\alpha_{n+1}=7\alpha_n$ and $\alpha_8=2\pi \cdot 6.72 rad/s,$
since from equation (2.2),

$$f_{0}=\frac{\alpha_{1}}{2 \pi \sqrt[4]{7}}.$$