Some Properties of the Hilbert Transform

机译：希尔伯特变换的一些性质

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The derivatives of the operation of stabilizing a multidimensional sequence are calculated. This calculation is based on the Frechet derivative and some properties of the cepstrum. The implications for the design of recursive filters are discussed. These results may also be useful in the one-dimensional case. 14 refs. (ERA citation 13:010632)

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Goodman, D. M.;
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年度 1987
页码 1-9
总页数 9
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Digital Filters; Hilbert Transformation; Design; Polynomials; Signal Conditioning; Stability;

机译：数字滤波器;希尔伯特变换;设计;多项式;信号调理;稳定性;

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专利

1. The Hilbert Transform as an Iterated Fourier Transform: Comment ``The Hilbert Transform as an Iterated Laplace Transform'' [J] . Crystal Thomas H. Aerospace and Electronic Systems, IEEE Transactions on . 1968,第2期

机译：作为迭代傅立叶变换的希尔伯特变换：评论``作为迭代拉普拉斯变换的希尔伯特变换''
2. Weighted Paley-Wiener theorem on the Hilbert transform [Version avec poids du théorème de Paley-Wiener sur la transformée de Hilbert] [J] . Liflyand E., Tikhonov S. Comptes rendus. Mathematique . 2010,第23a24期

机译：Hilbert变换上的加权Paley-Wiener定理[Hilbert变换上的Paley-Wiener定理的加权版本]
3. DETECTING NONLINEAR AND NONSTATIONARY PROPERTIES OF POST-APNEIC SNORING SOUNDS USING HILBERT–HUANG TRANSFORM [J] . Tsuyoshi Mikami, Hirotaka Takahashi, Kazuya Yonezawa Biomedical Engineering: Applications, Basis and Communications . 2019,第3期

机译：利用希尔伯特 - 黄变换检测送道后鼾声的非线性和非营养性质
4. Modified variational image decomposition algorithm aided by the Hilbert transform as an alternative to 2D Hilbert-Huang transform for fringe pattern phase retrieval [C] . Maria Cywinska, Maciej Trusiak, Krzysztof Patorski, International Conference on Speckle Metrology . 2018

机译：Hilbert变换辅助的改进的变分图像分解算法，可替代二维Hilbert-Huang变换，用于条纹图案相位检索
5. Some contributions to analysis: A new space of generalized functions for integro-differential equations involving Hilbert transforms, and a note on the non-nuclearity of a space of test functions on Hilbert space. [D] . Donnelly, Roderick Kerry. 1988

机译：对分析的一些贡献：涉及Hilbert变换的积分微分方程的广义函数的新空间，以及关于Hilbert空间上测试函数的空间的非核性的注释。
6. Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann–Hilbert approach [O] . Marco Bertola, Elliot Blackstone, Alexander Katsevich, -1

机译：有限Hilbert变换在两个相邻区间上的对角化：Riemann-Hilbert方法
7. Computation and Analysis of Heart Sound Signals using Hilbert Transform and Hilbert-Huang Transform [O] . Mehak Saini, Madhwendra Nath, Priyanshu Tripathi, 2017

机译：利伯特变换和Hilbert-Huang变换的心声信号计算与分析
8. Inquiry: Effectiveness of the Complex Empirical Mode Decomposition Method, the Hilbert-Huang Transform, and the Fast-Fourier Transform for Analysis of Dynamic Objects [R] . Wallis, K. L. 2012

机译：查询：复杂经验模式分解方法，Hilbert-Huang变换和动态对象分析的快速傅里叶变换的有效性

Some Properties of the Hilbert Transform

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