orthonormal basis 中文意思是什麼
orthonormal basis
解釋
標準正交基- orthonormal : 標準的，正交的
- basis : n. （pl. bases ）1. 基礎；基底；臺座；【地質學；地理學】坡基。2. 根據，基準。3. 主要成份；主藥。4. 【數學】基。
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And by far, most theories of wavelet analysis are established in, but this method is rare to be known and exists defects in the reproducing kernel space with good properties. then in the reproducing kernel space, isometric isomorphism of relation is founded between and by differential operator. and starting from the haar basis, multi - resolution analysis inis gived by folding method ; then multi - resolution analysis and orthonormal wavelet in are obtained through integral transform from to. then the reproducing kernel space can be expressed by wavelet spaces
於是，在再生核空間中，利用積分運算元建立了空間與hilbert空間的等距同構關系；並且從haar小波出發，由折疊法實現的空間中多尺度分析通過積分變換得到中多尺度分析和正交小波，使得再生核空間可以由小波空間來刻劃；從而對空間中的函數，給出了小波逼近具體表達式和相應的采樣公式，形式簡單易於數值分析。 -
Where several mother wavelet functions were used to expand a function, it also can be seen as vector - valued wavelets that satisfy conditions in which matrics are involved. the main works of this paper are as follows : firstly, although haar function has bad vanish property in frequency domain, it is the only normal orthonormal basis with symmetry and real short - support property
首先，討論了對于尺度函數，相應的母小波構成空間的標準正交基的充要條件，提出了構造a尺度母小波的演算法，從理論上研究a尺度haar小波基的構造，提出了分解與重構公式，並對如何構造具有對稱性的a尺度haar小波基進行了探討。 -
Let wj is the orthogonal complement of vj in vj + 1, if the integer translates of a set of functions form an orthonormal basis of w0, then are called a set of orthogonal multiwavelets
相應地，在中的正交補子空間由r重多小波， ， （ ）的整平移構成。
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