$$ V_{peak} = V_{RMS}\sqrt{2} \newline V_P = \frac{V_{PP}}{2} \newline \Delta V = V_T \ln (\frac{I_2}{I_1}) \newline I_2 =I_1e^{\frac{\Delta V}{V_T}}\newline i = I_S (e^{\frac{V}{V_T}}) \newline \text{Small-signal resistance: } r_d = \frac{V_T}{I_D} \newline \Delta i_D = \frac{\Delta V_T}{r_d} \newline V_{\text{o,avg}} = \frac{1}{\pi} \int {\theta} ^{\pi -\theta} v{\text{s,peak}} \sin \phi -nV_d d \theta \newline i_{\text{L,avg}} = \frac{V_{\text{o,avg}}}{R } $$
Cascade of DC restorer and peak rectifier
Generate high voltages beyond the supply voltage