Abstract-The paper describes a hysteretic buck converter including a differentiator and an adaptive hysteresis window controller. Differentiating the feedback signal achieves ultra-fast switching of the buck converter. The adaptive hysteresis window control allows a monotonous operation with predictable noise spectrum, and gives way to efficient design for variable supply and output voltages. The measurement results in a 0.13-μm CMOS process indicated that the switching frequency became double times higher, and the voltage ripple was reduced by up to 69%. They also indicated that the normalized switching frequency variation was reduced by 74% with variable V DD and by 63% with variable V OUT . The power efficiency was improved by 3.5% depending on loading condition. Index Terms-Hysteretic buck converter, adaptive hysteresis window control, variable supply voltage