Adaptive Digital Calibration of Amplifier Finite Gain Effects and C-ratio Matching Errors for MASH M

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Cascaded sigma-delta (MASH) modulators for higher order oversampled analog-to-digital conversion rely on precise matching of contributions from different quantizers to cancel lower order quantization noise from intermediate delta-sigma stages. This paper studies the effect of analog imperfections in the implementation, such as finite gain of the amplifiers and capacitor ratio mismatch, and presents an adaptive algorithm and implementation architectures for digital correction of such analog imperfections. Behavioral simulations on 1-1-1 oversampled converters demonstrate over 10dB improvements in signal-to-noise and over 20 dB improvements in dynamic range performance.
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