conversion time

In this work, a new conversion method is proposed, which makes it possible to implement recurrent logarithmic analog-to-digital converters (LADCs) with a constant base of the logarithm $(\zeta)$, in which the reference voltages are formed using a reference voltage divider composed of identical $L-$shaped links of resistors $R-R^{\prime \prime}$ and additional resistor $R^{\prime}$, and the values of the resistors are set according to the formulas
$R^{\prime}=\frac{\zeta}{1-\zeta} \cdot R$ and $R^{\prime \prime}=\frac{\zeta}{(1-\zeta)^2} \cdot R$.