US Patent 7321325 Background calibration of continuous-time delta-sigma modulator

A primary delta-sigma modulator converts a continuous-time input signal into a discrete-time output sequence. A calibration circuit comprising an auxiliary delta-sigma modulator estimates percentage error in an integrator time constant and adjusts the time constant of at least one integrator in the primary delta-sigma modulator accordingly. The auxiliary delta-sigma modulator and the primary delta-sigma modulator use integrators with substantially similar circuit designs. The percentage error in the time constant of the integrator in the auxiliary delta-sigma modulator, and correspondingly the percentage error in time constant of the integrator in the primary delta-sigma modulator, is estimated by injecting a calibrating sequence into the auxiliary delta-sigma modulator and examining a correlation between an error sequence and an output sequence of the auxiliary delta-sigma modulator.