Digitized Mass Reflectance

$$\zbox{\hat{\rho}_d(z) = g\frac{1-z^{-1}}{1-pz^{-1}}}$$

where

$$\begin{eqnarray*} g&\isdef &\frac{1}{1+\frac{RT}{m}}\;<\;1\\ [10pt] p&\isdef &\frac{1-\frac{RT}{m}}{1+\frac{RT}{m}}\;<\;1 \end{eqnarray*}$$

Thus, the mass reflectance is a one-pole, one-zero filter:

• Zero at dc
• Real pole close to dc at high sampling rates
• Unity gain at $f_s/2$
• Classic dc-blocking filter