Tracking of signals beyond the Nyquist frequency
Tracking of signals beyond the Nyquist frequency
复制标题
DOI：
10.1109/cdc.2016.7798875
复制
发表时间：
2016-12
期刊：
影响因子：
--
通讯作者：
Y. Yamamoto;Kaoru Yamamoto;M. Nagahara
中科院分区：
文献类型：
--
作者：
Y. Yamamoto;Kaoru Yamamoto;M. Nagahara
本文研究采样控制系统的跟踪或干扰抑制问题，其中跟踪信号可以具有高于奈奎斯特频率的频率分量。鉴于公知的采样定理，人们认识到，任何高频分量只能被检测为低基带中的混叠，因此不可能恢复或检测这样的频率分量。本文探讨了基本的基本假设，并表明，这一假设取决于关键的基本模拟模型。我们表明，它确实是可以恢复这样的高频信号，而且，通过引入多速率信号处理技术，它是可以跟踪或拒绝这样的频率分量。详细分析了多采样率闭环系统和零极点。它示出通过例子，跟踪的高频信号超过奈奎斯特频率可以达到令人满意的精度。
This paper studies the problem of tracking or disturbance rejection for sampled-data control systems, where the tracking signal can have frequency components higher than the Nyquist frequency. In view of the well-known sampling theorem, one recognizes that any high-frequency components may be detected only as an alias in the low base band, and hence it is impossible to recover or detect such frequency components. This paper examines the basic underlying assumption, and shows that this assumption depends crucially on the underlying analog model. We show that it is indeed possible to recover such high-frequency signals, and also that, by introducing multirate signal processing techniques, it is possible to track or reject such frequency components. Detailed analysis of multirate closed-loop systems and zeros and poles are given. It is shown via examples that tracking of high-frequency signals beyond the Nyquist frequency can be achieved with satisfactory accuracy.