Mathematical analysis of prime modulus quantizer MASH digital delta-sigma modulator

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Mathematical analysis of prime modulus quantizer MASH digital delta-sigma modulator

Hosseini, Kaveh; Kennedy, Michael Peter
Date: 2007-12
Copyright: ©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Citation: 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.
Published Version: 10.1109/TCSII.2007.905877

Abstract:

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..

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