A Note on Relation between the Fourier Coefficients and the Effects in the Experimental Design 被引量：1

A Note on Relation between the Fourier Coefficients and the Effects in the Experimental Design

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作者 Yoshifumi Ukita Toshiyasu Matsushima

机构地区 Department of Management Information Department of Applied Mathematics

出处《通讯和计算机（中英文版）》 2012年第7期830-836,共7页 Journal of Communication and Computer

关键词傅里叶变换实验设计系数和傅里叶系数注记傅立叶系数系统模型 Estimation, fourier transform, orthogonal design, sampling theorem l.introduction.

分类号 O174.22 [理学—数学] O153.3 [理学—基础数学]

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参考文献8

1A.S. Hedayat, N.J.A. Sloane, J. Stufken, Orthogonal Arrays: Theory and Applications, Springer, 1999. 被引量：1
2T. Okuno, T. Haga, Experimental Designs (in Japanese), Baifukan, Tokyo, 1969. 被引量：1
3Takahashi, Combinatorial Theory and its Application (in Japanese), Iwanami Syoten, Tokyo, 1979. 被引量：1
4H. Toutenburg, Shalabh, Statistical Analysis of Designed Experiments (3rd ed.), Springer, 2009. 被引量：1
5Y. Ukita, T. Saito, T. Matsushima, S. Hirasawa, A note on a sampling theorem for functions over GF(q)^n domain, IEICE Trans. Fundamentals 6 (2010) 1024-1031. 被引量：1
6Y. Ukita, T. Matsushima, S. Hirasawa, Estimation of the effects in the experimental design using fourier transforms, IEICE Trans. Fundamentals (2010) 2077-2082. 被引量：1
7E.M. Stein, R. Shakarchi, Fourier Analysis: An Introduction, Princeton University Press, 2003. 被引量：1
8R.S. Stankovic, J. Astola, Reading the sampling theorem in multiple-valued logic: A journey from the (Shannon) sampling theorem to the Shannon decomposition rule, in: Proc. 37th Int. Symp. on Multiple-Valued Logic, Oslo, Norway, 2007. 被引量：1

引证文献1

1Yoshifumi Ukita,Toshiyasu Matsushima,Shigeichi Hirasawa.Relation between the Fourier Coefficients and the Interaction Effects in the Experimental Design[J].通讯和计算机（中英文版）,2013,10(2):169-177.

1Yoshifumi Ukita,Toshiyasu Matsushima,Shigeichi Hirasawa.Relation between the Fourier Coefficients and the Interaction Effects in the Experimental Design[J].通讯和计算机（中英文版）,2013,10(2):169-177.
2Cai Yingchun (Department of Mathematics,Shandong Normal University,Jinan 250014,China).On the Distribution and Moments of the Fourier Coefficients of Cusp Forms[J].Acta Mathematica Sinica,English Series,1997,13(3):289-294.
3R.G.Vyas,K.N.Darji.Order of Magnitude of Multiple Fourier Coefficients[J].Analysis in Theory and Applications,2013,29(1):27-36.
4谢庭藩.ON L^1-APPROXIMATION OF THE FUNCTIONS WITH QUASI-MONOTONE FOURIER COEFFICIENTS[J].Chinese Science Bulletin,1983,28(3):294-297.
5Cai Yingchun Department of Mathematics, Shandong Normal University, Jinan 250014, China.On the Third and Fourth Power Moments of Fourier Coefficients of Cusp Forms[J].Acta Mathematica Sinica,English Series,1997,13(4):443-452. 被引量：2
6Hui Xue LAO.The Cancellation of Fourier Coefficients of Cusp Forms over Different Sparse Sequences[J].Acta Mathematica Sinica,English Series,2013,29(10):1963-1972. 被引量：4
7REN XiuMin,YE YangBo.Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for GL_m(Z)[J].Science China Mathematics,2015,58(10):2105-2124. 被引量：2
8Liqun HU.Quadratic forms connected with Fourier coefficients of Maass cusp forms[J].Frontiers of Mathematics in China,2015,10(5):1101-1112. 被引量：1
9SHEN YuLiang.Fourier coefficients of Zygmund functions and analytic functions with quasiconformal deformation extensions[J].Science China Mathematics,2012,55(3):607-624. 被引量：1
10Hengcai TANG.Estimates for Fourier Coefficients of Cusp Forms in Weight Aspect[J].Chinese Annals of Mathematics,Series B,2016,37(5):793-802.

通讯和计算机（中英文版）

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A Note on Relation between the Fourier Coefficients and the Effects in the Experimental Design 被引量：1

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