Appendix B

Equation (1.17) has the form

$\frac{{A}_{1}s+{A}_{0}}{{B}_{2}{s}^{2}+{B}_{1}s+{B}_{0}}$

(B.1)

The Laplace operator s shall be replaced by

$s=C\frac{1-{z}^{-1}}{1+{z}^{-1}}$

(B.2)

(B.1) becomes

$\frac{{A}_{1}C\left((1-{z}^{-1})/(1+{z}^{-1})\right)+{A}_{0}}{{B}_{2}{C}^{2}{\left((1-{z}^{-1})/(1+{z}^{-1})\right)}^{2}+{B}_{1}C\left((1-{z}^{-1})/(1+{z}^{-1})\right)+{B}_{0}}$

(B.3)

It can be reduced to

$\frac{{A}_{1}C\left(1-{z}^{-1}\right)\left(1+{z}^{-1}\right)+{A}_{0}{\left(1+{z}^{-1}\right)}^{2}}{{B}_{2}{C}^{2}{\left(1-{z}^{-1}\right)}^{2}+{B}_{1}C\left(1-{z}^{-1}\right)\left(1+{z}^{-1}\right)+{B}_{0}{\left(1+{z}^{-1}\right)}^{2}}$

(B.4)

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