This paper presents a multiscaling coefficient technique for convergence speed boosting in pipelined analog-to-digital converter (ADC) with noisy-signal-based gain error background calibration. By detecting the monotonicity of calculated gain error, the convergence process of the system can be divided into several phases. Each phase is then applied with different scaling coefficients, so rapid convergence speed and stable calibration system can be accomplished simultaneously. The time cost on convergence process can be reduced significantly, and stable calibration system has been simulated during the ADC's normal operation.
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