【摘要】 本文运用高维小波变换理论 ,通过三元张量积多分辨分析方法 ,严格推导出了三维分离小波功率谱的计算公式 ,并找到了它与传统的Fourier功率谱之间的联系 .由于实际样本总是有限取样的 ,常常是不完备的 ,作为Fourier功率谱的补充 ,小波功率谱可能测量了密度场结构的不同方面 ,对于宇宙大尺度结构的成团统计分析研究 ,有着潜在的应用价值更多还原

【Abstract】 A formula is derived for calculating three dimensional discrete wavelet power spectra by using the multiresolution analysis method.The relation between the wavelet power spectrum and its Fourier counterpart is also given.Owing to the sample’s finiteness and incompleteness,as a supplement of the Fourier power spectrum,the wavelet power spectrum might detect the other aspects of the universe’s structure.The formula presented here will have potential applications to the statistical analyses of the galactic clustering of the universe’s large scale structures.更多还原