Signal Reconstruction via $H^{\infty}$ Sampled-Data Control Theory—Beyond the Shannon Paradigm
Signal Reconstruction via $H^{\infty}$ Sampled-Data Control Theory—Beyond the Shannon Paradigm
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DOI：
10.1109/tsp.2011.2175223
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发表时间：
2012-02
影响因子：
5.4
通讯作者：
Y. Yamamoto;M. Nagahara;P. Khargonekar
中科院分区：
文献类型：
--
作者：
Y. Yamamoto;M. Nagahara;P. Khargonekar
本文提出了一种利用采样控制理论进行信号重构的新方法。我们用一个稳定的离散时间滤波器将信号重构问题转化为一个模拟性能优化问题。所提出的H-∞性能准则自然考虑了样本间的行为，反映了信号的能量分布。我们给出了保证稳定和因果的最优解的计算方法。文中还提供了与其他方法的详细比较。我们讨论了它在声音和图像重建中的一些应用。
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∞ performance criterion naturally takes inter-sample 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.