Math @ Duke

Publications [#287156] of Ingrid Daubechies
Papers Published
 Daubechies, I; DeVore, R; Güntürk, CS; Vaishampayan, VA, Beta expansions: A new approach to digitally corrected A/D conversion,
Proceedings  IEEE International Symposium on Circuits and Systems, vol. 2
(2002),
pp. II/784II/787
(last updated on 2017/12/16)
Abstract: We introduce a new architecture for pipelined (and also algorithmic) A/D converters that give exponentially accurate conversion using inaccurate comparators. An error analysis of a sigmadelta converter with an imperfect comparator and a constant input reveals a selfcorrection property that is not inherited by the successive refinement quantization algorithm that underlies both pipelined multistage A/D converters as well as algorithmic A/D converters. Motivated by this example, we introduce a new A/D converter the Beta Converterwhich has the same selfcorrection property as a sigmadelta converter but which exhibits higher order (exponential) accuracy with respect to the bit rate as compared to a sigmadelta converter, which exhibits only polynomial accuracy.


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