Statistics of the Quantization Noise in 1-Bit Dithered Single-Quantizer Digital Delta-Sigma Modulators

An analysis of the quantization noise introduced by a widely-used class of single-quantizer digital delta-sigma (DeltaSigma) modulators with low-level, 1-bit dither is presented. Necessary and sufficient conditions are derived that ensure, in an asymptotic sense, various ensemble statistical propert...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 2007-03, Vol.54 (3), p.492-503
Main Authors: Pamarti, S., Welz, J., Galton, I.
Format: Article
Language:English
Subjects:
Analog-digital conversion
Asymptotic properties
Delay
Delta modulation
Delta-sigma ( Delta \Sigma ) modulation
Digital
Digital filters
Digital modulation
dither techniques
Dithers
Modulators
Noise
Noise shaping
Phase locked loops
Quantization
Signal generators
Statistics
Variability
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Summary:An analysis of the quantization noise introduced by a widely-used class of single-quantizer digital delta-sigma (DeltaSigma) modulators with low-level, 1-bit dither is presented. Necessary and sufficient conditions are derived that ensure, in an asymptotic sense, various ensemble statistical properties of the quantization noise such as uniformity and independence from the input and delayed versions of itself. The conditions are also shown to be sufficient for a single realization of the quantization noise sequence to possess these properties in a time-averaged sense. Several of the most commonly-used digital DeltaSigma modulators are shown to satisfy the conditions
ISSN:1549-8328
1057-7122
1558-0806
DOI:10.1109/TCSI.2006.887616