Mathematical analysis of prime modulus quantizer MASH digital delta-sigma modulator
Kennedy, Michael Peter
A MASH digital delta-sigma modulator (DDSM) is analyzed mathematically. It incorporates first-order error feedback modulators (EFM) which include prime modulus quantizers to guarantee a minimum sequence length M. The purpose of this analysis is to calculate the exact sequence length of the aforementioned MASH DDSM. We show that the sequence length for an lth-order member of this modulator family is M for all constant inputs, and for all initial conditions, where M is the sequence length of the constituent first-order prime modulus quantizer EFMs..
Digital delta-sigma modulators , Multistage noise shaping , prime modulus quantizer and fractional-N frequency synthesizer
Hosseini, K., Kennedy, M.P., 2007. Mathematical analysis of prime modulus quantizer MASH digital delta-sigma modulator. IEEE Transactions On Circuits and Systems II - Express Briefs, 54 (12), pp.1105-1109.
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