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SNR performance of an adaptive sigma delta modulator

In a previous study, we proposed an adaptive sigma delta modulator with an improved dynamic range. The modulator adapts the step size of the quantizer from estimates of the quantizer input instead of the modulator input. In this study, we conduct an error variance analysis of the new modulator and derive expression for the SNR. The derived expression shows that the SNR is independent of the input signal strength, which supports the simulation results.