Comparator with Hysteresis plus thermal noise

*The positive feedback generates 2 trip points: One for low-high commutation and one for high-low commutation; *The difference (gap) between this 2 points is called hysteresis; *This behavior prevents false (unwished) commutations caused by noise, stabilizing the output; *The upper trip point (UTP) is: UTP = (R1/R2)*Vsat *The lower trip point (LTP) is: LTP = -(R1/R2)*Vsat *The hysteresis is: H = UTP - LTP H = (R1/R2)*Vsat - [-(R1/R2)*Vsat] H = 2(R1/R2)*Vsat **Vsat - saturation voltage