Signal Reconstruction via H∞ Sampled-Data Control Theory-Beyond the Shannon Paradigm

被引：31

作者：

Yamamoto, Yutaka ^{[1
]}

Nagahara, Masaaki ^{[1
]}

Khargonekar, Pramod P. ^{[2
]}

机构：

[1] Kyoto Univ, Grad Sch Informat, Dept Appl Anal & Complex Dynam Syst, Kyoto 6068501, Japan

[2] Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2012年 / 60卷 / 02期

关键词：

Digital signal processing; H-infinity control theory; sampled-data control theory; sampling theorem; Shannon paradigm; CARDINAL EXPONENTIAL SPLINES; PART II; SYSTEMS; FRAMEWORK; DESIGN;

D O I：

10.1109/TSP.2011.2175223

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents a new method for signal reconstruction by leveraging sampled-data control theory. We formulate the signal reconstruction problem in terms of an analog performance optimization problem using a stable discrete-time filter. The proposed H-infinity performance criterion naturally takes intersample behavior into account, reflecting the energy distributions of the signal. We present methods for computing optimal solutions which are guaranteed to be stable and causal. Detailed comparisons to alternative methods are provided. We discuss some applications in sound and image reconstruction.

引用

页码：613 / 625

页数：13

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