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首页»科研成果» 2015
张之华在Journal of Function Spaces上发表论文
全球院
Fourier Expansions with Polynomial Terms for
Random Processes
Zhihua Zhang1,2
1College of Global Change and Earth System Science, Beijing Normal University, Beijing 100875, China
2Joint Center for Global Change Studies, Beijing 100875, China
Correspondence should be addressed to Zhihua Zhang; zhangzh@bnu.edu.cn
Based on calculus of random processes, we present a kind of Fourier expansions with simple polynomial terms via our decomposition method of random processes. Using our method, the expectations and variances of the corresponding coefficients decay fast and partial sum approximations attain the best approximation order. Moreover, since we remove boundary effect in our decomposition of random process, these coefficients can discover the instinct frequency information of this random process. Therefore, our method has an obvious advantage over traditional Fourier expansion. These results are also new for deterministic functions.
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