Modeling Systems Based on Noisy Frequency and Time Domain Measurements
Modeling Systems Based on Noisy Frequency and Time Domain Measurements
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DOI：
10.1007/978-3-540-93918-4_33
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
S. Lefteriu;A. Ionita;A. Antoulas
中科院分区：
文献类型：
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作者：
S. Lefteriu;A. Ionita;A. Antoulas
Loewner矩阵框架可以从给定的无噪声测量中识别底层系统，无论是在频率域还是在时域[1,2]。本文分析了噪声对不同噪声水平下Loewner矩阵框架的SVD实现性能的影响，并提出了一种改进的方法，即使在高噪声水平下也能够识别原始系统的近似值。此外，对于频域测量，我们的框架可以处理具有大量输入和输出的系统，同时需要较小的计算时间和存储空间。
The Loewner matrix framework can identify the underlying system from given noise-free measurements either in the frequency, or in the time domain[1, 2]. This paper provides an analysis of the effects of noise on the performance of the SVD implementation of the Loewner matrix framework for different noise levels and proposes an improved approach which is able to identify an approximation of the original system even for high levels of noise. Moreover, for frequency domain measurements, our framework can handle systems with a large number of inputs and outputs while requiring small computational time and storage.