Passive charge redistribution digital-to-analogue multiplier

A digital-to-analogue multiplier based on the principle of passive charge sharing and redistribution is proposed. The circuit generates a voltage proportional to the multiplier, then samples this voltage with a capacitance proportional to the multiplicand by discharging the capacitance associated with its logical inverse. Parasitic capacitances are shown to result in an input-referred offset with respect to the multiplier. The switching scheme is modified to null the offset. Simulation results are provided to verify the operation of the digital-to-analogue multiplier.