Beta expansions: a new approach to digitally corrected A/D conversion Academic Article uri icon

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 sigma-delta converter with an imperfect comparator and a constant input reveals a self-correction 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 Converter-which has the same self-correction property as a sigma-delta converter but which exhibits higher order (exponential) accuracy with respect to the bit rate as compared to a sigma-delta converter, which exhibits only polynomial accuracy.

author list (cited authors)

  • Daubechies, I., DeVore, R., Gunturk, C. S., & Vaishampayan, V. A.

citation count

  • 12

publication date

  • January 2002

publisher