English

Separation of Quantization and Control in Optimal Analog to Digital Converters

Optimization and Control 2012-07-23 v1

Abstract

In this paper we prove optimality of a certain class of Analog to Digital Converters (ADCs), which can be viewed as generalized Delta-Sigma Modulators (DSMs), with respect to a performance measure that can be characterized as the worst-case average intensity of the signal representation error. An analytic expression for the ADC performance is given. Furthermore, our result proves separation of quantization and control for this class of ADCs subject to some technical conditions.

Keywords

Cite

@article{arxiv.1207.4967,
  title  = {Separation of Quantization and Control in Optimal Analog to Digital Converters},
  author = {Mitra Osqui and Alexandre Megretski},
  journal= {arXiv preprint arXiv:1207.4967},
  year   = {2012}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1204.3034