Background calibration techniques can effectively to correct for memory, kick-back, and order-dependent errors in interleaved switched-capacitor track-and-hold (T/H) circuits and amplifiers. The techniques calibrate for errors in both the track/sample phase and the hold-phase, and account for the effects of interleaving, buffer/amplifier sharing, incomplete resetting, incomplete settling, chopping, and randomization on the offset, gain, memory, and kick-back errors. Moreover, the techniques can account for order-dependent and state-dependent hold-phase non-linearities. By correcting for these errors, the proposed techniques improve the noise performance, linearity, gain/offset matching, frequency response (and bandwidth), and order-dependence errors. The techniques also help increase the speed (sample rate and bandwidth) and linearity of T/H circuits and amplifiers while simplifying the analog circuitry and clocking needed. These techniques comprehensively account for various memory, kick-back, and order-dependent effects in a unified framework.