Mathematical Analysis of a Prime Modulus Quantizer MASH Digital Delta-Sigma Modulator

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 aforement...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2007-12, Vol.54 (12), p.1105-1109
Main Authors: Hosseini, K., Kennedy, M.P.
Format: Article
Language:English
Subjects:
Circuits
Constituents
Counters
Delta modulation
Delta-sigma modulation
Digital
Digital delta-sigma modulator (DDSM)
Digital modulation
Error feedback
Frequency conversion
Frequency synthesizers
Initial conditions
Limit-cycles
Mathematical analysis
Modulators
Multi-stage noise shaping
MultistAge noise SHaping (MASH)
Phase locked loops
prime modulus quantizer and fractional- N frequency synthesizer
Quantization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 M is for all constant inputs, and for all initial conditions, where M is the sequence length of the constituent first-order prime modulus quantizer EFMs.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2007.905877