An aspect of quadratic HIDA distributions in the realization of a duality between Gaussian and Poisson noises

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An aspect of quadratic HIDA distributions in the realization of a duality between Gaussian and Poisson noises

机译：高斯和泊松噪声对偶实现中二次HIDA分布的一个方面

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Gaussian and Poisson noises can be discussed not only in parallel, but we can also see dissimilarity between them together with some interesting results by using the space of quadratic Hida distributions. Further we can discuss calculus of their functionals to see a duality of the two noises.

机译：高斯噪声和泊松噪声不仅可以并行讨论，而且通过使用二次Hida分布空间，我们还可以看到它们之间的差异以及一些有趣的结果。此外，我们可以讨论其功能的演算，以查看两种噪声的对偶性。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2008年第1期|共10页
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Si S;
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正文语种 eng
中图分类物理学;
关键词
white noise; Poisson noise; rotation group; symmetric group; Levy Laplacian; duality;

机译：白噪声;泊松噪声;旋转群;对称群;拉普拉斯算子;对偶;

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1. An aspect of quadratic HIDA distributions in the realization of a duality between Gaussian and Poisson noises [J] . Si S Infinite dimensional analysis, quantum probability, and related topics . 2008,第1期

机译：高斯和泊松噪声对偶实现中二次HIDA分布的一个方面
2. A REWEIGHTED l(2) METHOD FOR IMAGE RESTORATION WITH POISSON AND MIXED POISSON-GAUSSIAN NOISE [J] . Li Jia, Shen Zuowei, Yin Rujie, Inverse problems and imaging . 2015,第3期

机译：用Poisson和Poisson-Gaussian混合噪声复原图像的经加权l（2）方法
3. Non-stationary response of MDOF dynamical systems under combined Gaussian and Poisson white noises by the generalized cell mapping method [J] . Yue Xiaole, Xu Wei, Xu Yong, Probabilistic engineering mechanics . 2019,第JANa期

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4. A Dual Adaptive Regularization Method to Remove Mixed Gaussian-Poisson Noise [C] . Ziling Wu, Hongxia Gao, Ge Ma, Asian conference on computer vision;Workshop on new trends in image restoration and enhancement;Workshop on assistive vision;ACCV workshop on hyperspectral image and signal processing;Workshop on computer vision technologies for smart vehicle;Workshop on spontaneous facial behavior analysis;Workshop on 3D modelling and applications;ACCV workshop on e-heritage;Workshop on multiview lip-reading challenges;Workshop on facial informatics;Workshop on discrete geometry and mathematical morphology for computer vision;Workshop on mathematical and computational methods in biomedical imaging and image analysis;International workshop on driver drowsiness detection from video;Workshop on meeting HCI with CV;Workshop on human identification for surveillance methods and applications;Workshop on benchmark and evaluation of surveillance task;Workshop on computer vision for affective computing;Workshop on interpretation and visualization of deep neural nets . 2017

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5. Image Denoising of Gaussian and Poisson Noise Based on Wavelet Thresholding. [D] . Quan, Jin. 2013

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6. Poisson-Gaussian Noise Reduction Using the Hidden Markov Model in Contourlet Domain for Fluorescence Microscopy Images [O] . Sejung Yang, Byung-Uk Lee -1

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7. Realizations of duality between Gaussian and Poisson noises (Non-Commutative Analysis and Micro-Macro Duality) [O] . Si Si 2008

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8. Analysis and Digital Hardware Realization of Non-Gaussian Impulse Noise in Wideband Communications Systems. [R] . ku,walter h. neuvo, yrjo 1974

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An aspect of quadratic HIDA distributions in the realization of a duality between Gaussian and Poisson noises

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