2012/07/20 by Mitra Osqui, Alexandre Megretski, Osqui, Mitra +1
Computer Science · Engineering · Mathematics · #Advanced DC-DC Converters #Analog and Mixed-Signal Circuit Design #Control Systems and Identification #FOS: Mathematics #Numerical Methods and Algorithms #Optimization and Control (math.OC) #math.OC
paper · pdf · doi:10.48550/arxiv.1207.4967
arXiv admin note: substantial text overlap with arXiv:1204.3034
arxiv created 2012/07/20 · openalex publication_date 2012/07/20 · arxiv updated 2012/07/23 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
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.