An Improved Generalized Projection Denoising Algorithm and its Application

机译：改进的广义投影去噪算法及其应用

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Noise reduction is a main step in signal processing. However, it is not effective enough to purify the nonlinear signal by using the traditional signal denoising techniques. This paper improved the Generalized Projection denoising algorithm via calculating the optimal time delay r and embedding dimension m, which can be regarded as an extension of the global phase space reconstruction. The de-noising effects of Lorenz signal illustrated the improved Generalized Projection method is very effective and reliable in reducing the noise and reconstructing the signals.

机译：降噪是信号处理中的主要步骤。然而，通过使用传统的信号去噪技术来净化非线性信号还不够有效。通过计算最优时延r和嵌入维数m，对广义投影去噪算法进行了改进，可以看作是全局相空间重构的一种扩展。 Lorenz信号的去噪效果说明改进的广义投影方法在减少噪声和重建信号方面非常有效且可靠。

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《Earth and SPACE 2010;International conference on engineering, science, construction, and operations in challenging environments;NASA/ARO/ASCE workshop on granular materials in lunar and martian exploration》|2011年|p.2302-2310|共9页
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Shumin Hou; Yourong Li;
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中图分类人类、资源、能源与环境的关系;
关键词
noise reduction; phase space reconstruct; generalized projection;

机译：降低噪音;相空间重构;广义投影;

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专利

1. Generalized projection algorithms with applications to optics and signal restoration [J] . Tuvia Kotzer, Nir Cohen, Joseph Shamir Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 1998,第1a3期

机译：广义投影算法及其在光学和信号恢复中的应用
2. An optimal global projection denoising algorithm and its application to shaft orbit purification [J] . Shumin Hou, Ming Liang, Yourong Li Structural health monitoring . 2011,第6期

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3. Applications Research of Improved Genetic Algorithm in Image Denoising [J] . Ming Chen Journal of Physics: Conference Series . 2018,第2期

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4. An Improved Generalized Projection Denoising Algorithm and its Application [C] . Shumin Hou, Yourong Li International Conference on Engineering, Science, Construction, and Operations in Challenging Environments . 2010

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6. Low-Dose Abdominal CT Using a Deep Learning-Based Denoising Algorithm: A Comparison with CT Reconstructed with Filtered Back Projection or Iterative Reconstruction Algorithm [O] . Yoon Joo Shin, Won Chang, Jong Chul Ye, 2020

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7. (1) An algorithm for total variation minimization: applications to image denoising and image decomposition problems, (2) Total variation minimization and binary energies: algorithms and applications to segmentation and interface evolution problems [O] . Chambolle Antonin 2006

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8. A GENERALIZED INVERSE-e ALGORITHM FOR CONSTRUCTING INTERSECTION PROJECTION MATRICES, WITH APPLICATIONS [R] . L. Duane Pyle 1966

机译：一种构造交叉投影矩阵的广义逆算法及其应用

An Improved Generalized Projection Denoising Algorithm and its Application

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