A Capacitor-within-Capacitor (CWC) is a nested electronic element that has two components: the cell (e.g., the outer capacitor) and the gate (e.g., the inner capacitor). The designations for the gate and cell may be interchanged. Here, an analysis and experimentation on a diode-interfaced parametric oscillations and amplification are described. By replacing the diode with a junction, made of doped nano-graphene films, we demonstrated a new structure whose doping may be electronically and chemically controlled.