A novel and useful high-order discrete-time charge rotating (CR) infinite impulse response (IIR) low pass filter is presented. The filter utilizes history capacitor arrays incorporating banks of capacitors. A linear interpolation technique is used in the IIR filter with second order antialiasing filtering, whose transfer function is sinc(x)2 per stage. It also uses a gm cell, rather than operational amplifiers, and is thus compatible with digital nanoscale technology. A 7th-order charge-sampling discrete time filter is disclosed. The order of the filter is easily extendable to higher orders. The charge rotating filter is process scalable with Moore's law and amenable to digital nanoscale CMOS technology. Bandwidth of the filter is precise and robust to PVT variation. The filter exhibits very low power consumption per filter pole, low input-referred noise, wide tuning range, excellent linearity and low area per minimum bandwidth and filter pole.