Calibration of DAC Mismatch Errors in $\Sigma \Delta$ ADCs Based on a Sine-Wave Measurement

We present an offline calibration procedure to correct the nonlinearity due element mismatch in the digital-to-analog converter (DAC) of a multibit ΣΔ-modulation A/D converter. The calibration uses a single measurement on a sinusoidal input signal, from which the DAC errors can be estimated. The main quality of the calibration method is that it can be implemented completely in the digital domain (or in software) and does not intervene in any way in the analog modulator circuit. This way, the technique is a powerful tool for verifying and debugging designs. Due to the simplicity of the method, it may be also a viable approach for factory calibration.