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On the aliasing error in a class of bidimensional wavelet subspaces

Applied Mathematics(A Journal of Chinese Universities) 2011年第1期26卷 77-85页

作者： LIU Hui-min LI Yun-zhang College of Applied Sciences Beijing University of Technology Beijing 100124 China

This paper addresses the aliasing error in multiresolution analysis associated with a 2× 2 dilation expression of the Fourier transform of the aliasing error optimal L^2（R^2）-norm estimation of the aliasing error. the setting of a class of bidimensional matrix of determinant ±2. The explicit is established, from which we obtain an

关键词： Multiresolution analysis aliasing error wavelet subspace.

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Feasibility study on application of satellite formations for eliminating the influence from aliasing error of ocean tide model

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Science China Earth Sciences 2015年第2期58卷 474-481页

作者： ZHAO Qian JIANG WeiPing XU XinYu ZOU XianCai Institute of Earthquake Science China Earthquake Administration GNSS Research Center Wuhan University School of Geodesy and Geomatics Wuhan University

Currently,aliasing error of temporal signal model becomes the main factor constraining the accuracy of temporal gravity *** provision of three types of satellite formations,i.e.,GRACE-type,Pendulum-type and n-s-Cartwheel-type,which are suitable for gravity mission and composed of observation in different directions,here we design two cases and conduct a simulation experiment on the feasibility to apply satellite formations for eliminating the influence from the aliasing error of ocean tide *** result of our experiment shows that,when the aliasing error is disregarded,n-s-Cartwheel formation can provide the best conditions for gravity field determination,which,compared with GRACE-type,can improve the accuracy by 43%.When aliasing error of the ocean tide model acts as the main source of error,the satellite formation applied in dynamic method for gravity field inversion cannot eliminate aliasing or improve the accuracy of gravity *** due to its higher sensitivity to the high-degree variation of gravity field,the Cartwheel-type formation,which includes the radial observation,can result in the gravity field containing more high-frequency signals for the ocean tide model error,and lead to a dramatically larger error.

关键词： satellite formation aliasing error ocean tide model gravity field inversion

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Truncation error and aliasing error for Whittaker-Shannon Sampling Expansion

Truncation Error and Aliasing Error for Whittaker-Shannon Sa...

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第三十届中国控制会议

作者： LONG Jingfan~1,YE Peixin~(1,2),YUAN Xiuhua~2 1.Beijing Information Science and Technology University,Beijing 100101,P.R.China 2.School of Mathematics and LPMC,Nankai University,Tianiin 300071,P.R.China

Let B,1≤p<∞,be the set of all bounded functions from L(R) which can be extended to entire functions of exponential type *** uniform bounds for truncation error of Shannon expansion based on local sampling are derive... 详细信息

Let B,1≤perror of Shannon expansion based on local sampling are derived for functions f∈B without decay *** we obtain the uniform bounds of aliasing error and truncation error for non-bandlimited functions from Sobolev classes.

关键词： Whittaker-Shannon theorem Localized sampling Truncation error aliasing error Sobolev class

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ON BANDLIMITED SCALING FUNCTION

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Journal of Computational Mathematics 2002年第4期20卷 373-380页

作者： Wei Chen Qiao Yang Wei-jun Jiang Si-long Peng Insitute of Mathematics Academy of Mathematics and System SciencesChinese Academy of SciencesBeijing 100080China Department of Mathematics Institute of Water Conservancy and Hydroelectric PowerZhengzhou 450045China Nadec Institute of AutomationChinese Academy of SciencesBeijing 100080China

This paper discuss band-limited scaling function, especially on the interval band case and three interval bands case, its relationship to oversampling property and weakly translation invariance are also studied. At th... 详细信息

关键词： scaling function oversampling property weakly translation invariance aliasing error

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