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平行十二面体区域上的快速离散傅立叶变换及其并行实现 被引量:6

HFFT ON PARALLEL DODECAHEDRON DOMAINS AND ITS PARALLEL IMPLEMENTATION
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摘要 In this paper, we propose a fast algorithm for computing the Discrete Generalized Fourier Transforms on parallel dodecahedron domains with 3 dimensions and 4 directions. Our fast algorithm (HFFT) reduces the computation complexity of DGFT from O(N^6) to O(N^3log N). A parallel implementation is given and it has been run on a Linux Cluster up to 32 CPUs. In this paper, we propose a fast algorithm for computing the Discrete Generalized Fourier Transforms on parallel dodecahedron domains with 3 dimensions and 4 directions. Our fast algorithm (HFFT) reduces the computation complexity of DGFT from O(N6) to O(N3 log N). A parallel implementation is given and it has been run on a Linux Cluster up to 32 CPUs.
出处 《数值计算与计算机应用》 CSCD 北大核心 2004年第4期303-314,共12页 Journal on Numerical Methods and Computer Applications
基金 国家基金委项目(60173021)中科院"超级计算环境建设与应用"项目(INF105-SCE-02-05)资助.
关键词 平行十二面体 快速离散傅立叶变换 并行计算 线性无关向量 矩阵 3D FFT, Parallel Dodecahedron Domain, HFFT
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