This invention claims protection for a digital back-end calibration
system for pipeline ADCs, comprising a down-conversion unit, an ADC to be calibrated, a low-speed, high-precision ADC, an LMS
adaptive filter, and a
subtractor; it solves the problem of decreased
system accuracy in pipeline ADCs due to inter-stage
gain errors. An inverse
hyperbolic tangent function is introduced into the original
algorithm model to construct a nonlinear
functional relationship between the step size and the
error signal, jointly constraining the step
size value so that the current step
size value is related to the square of the ratio of the current error to the previous error, improving the convergence speed of the
algorithm. Simultaneously, step size normalization
processing is combined to increase the range of step size selection and improve stability. A low-speed, high-precision ADC is used as a reference, connected in parallel with the ADC to be calibrated, and the difference between their digital outputs is sent to the LMS
adaptive filter for
processing, so that the output of the ADC to be calibrated continuously approaches the output of the low-speed, high-precision ADC, while the conversion process of the original ADC remains unaffected, achieving the purpose of digital calibration.