Cramer-Rao bounds for two-dimensional deterministic modal analysis
Cramer-Rao bounds for two-dimensional deterministic modal analysis
复制标题
二维确定性模态分析的 Cramer-Rao 界
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
M. Clark
中科院分区：
文献类型：
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作者：
M. Clark
本文的目的是发展和探索二维模态分析问题的Cramer-Rao(CR)界。所采用的模型是确定性的，涉及数据的单个快照。有界参数包括信号幅值的噪声方差、模和相位，以及2D模式(极点)的模和相位。在无阻尼模的特殊情况下，讨论了边界的渐近行为。最后，2D模型的边界被证明小于或等于多试验1D模型的边界。
The purpose of the paper is to develop and explore the Cramer-Rao (CR) bounds for the two-dimensional modal analysis problem. The model employed is deterministic and involves a single snapshot of the data. The bounded parameters include the noise variance, moduli and phases of the signal amplitudes, and the moduli and phases of the 2D modes (poles). The asymptotic behavior of the bounds in the special case of undamped modes is explored. Finally, the bounds for the 2D model are shown to be less than or equal to those for the multitrial 1D model.<<ETX>>