MASH DDSM with Negative Feedback

Abstract

This paper proposes a Multi-stAge noise SHaping (MASH) digital delta-sigma modulator (DDSM) with negative feedback to acquire the maximum sequence length. The mathematical analysis shows that the sequence length is [Formula: see text], which is not affected by the input values and initial conditions, where [Formula: see text] is the smallest prime number above the quantization interval [Formula: see text], and [Formula: see text] is the order of the MASH DDSM. Moreover, the influence of the negative feedback on the input range is analyzed. Finally, the simulations and experiments are performed to verify the theoretical analysis.