17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper FrP09.3

Nagahara, Masaaki (Kyoto Univ.), Wada, Toshihiro (Kyoto Univ.), Yamamoto, Yutaka (Kyoto Univ.)

Design of Delta-Sigma Converters Via Sampled-Data H-Infinity Optimization

Scheduled for presentation during the Regular Session "Convex Optimization II" (FrP09), Friday, July 28, 2006, 16:10−16:35, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 26, 2024

Keywords Multirate signal processing, Networks and circuits, Quantization

Abstract

In this paper, we propose a new method for designing delta-sigma converters via sampled-data H-infinity optimal control.The design consists of two steps. One is that for delta-sigma modulators. In delta-sigma modulators, the accumulator 1/(z-1) is conventionally used in a feedback loop to attenuate quantization noise. In contrast, we give all stabilizing controllers for the modulator, and propose an H-infinity design to shape the frequency response of the system from the noise to the output.The other is a design for multirate filters in oversampling AD/DA converters.While conventional designs are executed in the discrete-time domain, we take account of the characteristic of the original analog signal by using sampled-data H-infinity optimization. Design examples are presented to show that our design is superior to conventional ones.