orthonormal function 中文意思是什麼
orthonormal function
解釋
標準正交函數- orthonormal : 標準的，正交的
- function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
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The method about constructure of a new compactly supported orthonormal wavelet and scale function concerned is put forward and the exponent regularity of the kind of wavelet and related scale function is estimated accurately
提出了一類新的具有緊支集的標準正交小波基以及相關的尺度函數的構造方法，準確估計了該類小波和相關尺度的正則性指數。 -
Abstract : the method about constructure of a new compactly supported orthonormal wavelet and scale function concerned is put forward and the exponent regularity of the kind of wavelet and related scale function is estimated accurately
文摘:提出了一類新的具有緊支集的標準正交小波基以及相關的尺度函數的構造方法，準確估計了該類小波和相關尺度的正則性指數。 -
Generally speaking, the regularity of orthonormal wavelet bases with compact support increases linearly with the support width. but if we relax the orthogonality, much more freedom on the choice of wavelet function is gained
一般來說，對于規范正交小波基，它的正則性階數是隨其支集寬度線性增長的，而如果放鬆了正交性要求后，母小波可以同時具備局部支撐性和無限光滑性。 -
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。 -
The first chapter of this article consists of the following contents. suppose that are positive integers., then the bergman kernel function for the second type of hua domain where determined by the following recursion formula : and where is determined by the following recursion formula : it is inappropriate to use holomorphic transitive group to compute the bergman kernel function of hen because he11 is not a homogeneous domain, and we can not obtain the bergman kernel function of hen by obtaining the sum of an infinite series as we compute the bergman kernel function of reinhardt domain. we firstly give some holomorphic automorphisms such that for any he there exists a holomorphic automorphism satisfying next, we introduce the concept of semi reinhardt domain and get its complete orthonormal system
結合上述兩種方法就可獲得he _的bergman核函數的顯表達式，對于兩類廣義例外華羅庚域，還要用到jordantriplesystem的理論，才能求出其bergman核函數的顯表達式： 2當是正整數，時，廣義例外華羅庚域的bergman核函數其中滿足如下的等式：於是，可從等式得到所有的a _ j ， ry u dstu thalca000ereereereforfortheerethettithen其中廣； k由下歹遞推公式決定： 。 -
We study the design of haar wavelet for scale = a ( a2 ) and present a decomposition and reconstruction algorithm in chapter 3. secondly, in chapter 4 we study the design of orthonormal mutiwavelets of multiplicity r with scale = a ( a2 ). by the factorization theory, we give parametric expressions for orthonormal causal fir multifilter banks of r = 2 and scale = 4, and we found the length of scaling function can be controlled by the parameters. finally, we provide the error analysis between discrete multiwavelet transform coefficients and continue multiwavelet transform coefficients
由於多小波變換系數的計算是直接與其預濾波方式相聯系的，而在單小波變換系數計算中之所以能由近似表示就是因為尺度函數具有低通特性和平移正交性，由此我們研究了能滿足以上要求的預濾波，並對離散小波變換系數和連續小波變換系數之間的差異作了分析，從誤差分析結果我們可以預見：為了減少誤差我們可以通過對預濾波的進一步設計來控制。
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