波函數正交性 的英文怎麼說

中文拼音 [bōhánshǔzhēngjiāoxìng]
波函數正交性 英文
orthogonality of wave functions
  • 波 : Ⅰ名詞1 （波浪） wave 2 [物理學] （振動傳播的過程） wave 3 （意外變化） an unexpected turn of even...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 正 : 正名詞（正月） the first month of the lunar year; the first moon
  • 交 : Ⅰ動詞1 （把事物轉移給有關方面） hand over; give up; deliver 2 （到某一時辰或季節） reach （a cert...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  1. The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given

    利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。
  2. This paper starts the research of the liquid floated pendulous accelerometer testing system according to the engineering. at first, this paper gives the brief introduction of the history and present status of accelerometer and its testing technology, the working principium and math model of the liquid floated pendu - lous accelerometer, and then, decides the binary width pulse force retrim loop as the design proposal of testing system, researches the transfer function of every part in the system emphasizly, analyses the stability of the whole accelerometer testing system from the angle of control theoretics by the open loop transfer function of system, and designed the correcting net, analyses the basal problems such as resolution, sampling restraint, precision and so on, designs the hardware testing circuits such as preamplification, band - pass filter, alternating amplifier, phase sensitive demodulatorn, pulse - width modulation, frequency scale circuit, moment current generator. finally, using the graphics program language labv - iew which is designed for testing field especially by ni accomplishes the solfware design of testing system, realized the testing functions

    首先對加速度計及其測試技術的發展歷史和現狀，液浮擺式加速度計的工作原理和數學模型等作了簡要的介紹，然後確定了以二元調寬脈沖再平衡測試迴路為設計方案，並從控制理論的角度進行了分析，著重研究了系統中各部分的傳遞函數，利用系統開環傳遞函數分析了系統的穩定性，同時設計了系統的校正網路;分析了二元調寬脈沖再平衡測試迴路的解析度、采樣約束以及測試精度等基本問題，並按照系統分析的結果設計了包括前置放大、帶通濾波、交流放大、相敏解調、脈寬調制、頻標電路以及力矩電流發生器等測試系統各部分硬體電路，驗證了電路的正確性，最後按照測試系統的要求，採用了美國ni公司專為測試領域所開發的虛擬儀器工具? ? labview作為測試軟體開發工具，利用該圖形化編程語言完成了測試系統軟體部分的設計，實現了測試功能。
  3. Abstract : bridge function and generalized bridge function are all three - valued function, and are made by initial sequence according as copied or shifted ways. they include some familiar orthogonal function of non - sine, such as walsh function. this paper briefly introduced some research advance on this subject, emphasized to introduce the copy theory and generalized copy method. the process of making ( generalized ) bridge function, its property and application, were introduced briefly

    文摘:橋函數和廣義橋函數均為三值函數系，都是將初始序列經復制方式和移位方式變換后而形成的.它們包括了一些常見的非正弦正交函數，如沃爾什函數和方波函數等.簡要介紹了近10年來北京航空航天大學通信與電子系統博士點在非正弦正交函數方面研究的一些新進展，重點介紹了復制理論和廣義復制方法，橋函數、廣義橋函數的復制生成方法、性質及其應用等專題
  4. 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。
  5. 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。
  6. 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。
  7. The genetic algorithm, which simulates the evolutional process of the nature, is a global and robust algorithm, and the construction of orthogonal multiwavelets via genetic algorithm makes the guideline to determine multiwavelets clear and simple. 2

    遺傳演算法是模擬自然進化過程的全局性魯棒優化演算法，利用遺傳演算法來確定由短序列正交多尺度函數所生成的正交多子波，使確定多子波的思路變得清晰而簡單。
  8. By the interpolation property, we provide an explicit formula for constructing the corresponding wavelet

    利用插值特性，給出插值函數相應正交小波符號函數的顯式構造公式。
  9. In this paper, we propose an adaptive wavelet transform which possess the properties of translation and scale invariance. firstly, the original signal is adaptively renormalized using a scale function of an orthonomal wavelet and the first two moments of the signal. then, we decompose the renomalized signal according to the conventional discrete wavelet transform. as we prove, this adaptive wavelet transform is translation - and scale - invariant, and an efficient algorithm for calculating these wavelet coefficients, called adaptive wavelet invariant moments, is proposed. finally, we give experiment results for 2 - dimension digital signals ( images ) to verify our conclusion

    本文提出了一種具有平移和尺度不變性的自適應小波分解新方法，該方法利用信號的一階、二階矩及正交小波尺度函數，先對信號進行自適應小波「重整」 .然後再對重整后的信號進行普通小波變換.本文證明這種自適應小波變換是平移和尺度不變的，並給出了計算自適應小波變換系數（稱為小波不變矩）的一種有效演算法.對二維數字信號（圖像）的實驗證實了我們的結論
  10. Secondly, the electromagnetic fields between the inner and outer boundaries are expressed in terms of infinite series with spherical vector wave functions using the relations between the spheroidal vector wave functions and spherical ones

    然後根據橢球矢量波函數與球矢量波函數的關系，把兩層橢球之間的電磁場表示為球矢量波函數的級數形式，由球矢量波函數的正交性，進一步建立各展開系數之間的關系。
  11. First, on the basic theory of the coaxial disk cylindrical waveguide, we analysis field equation in each area of the coaxial disk cylindrical waveguide with longitudinal ribs. the dispersion equation and the coupling impedance of this structure are obtained by means of triangle function ' s orthogonality and combing with the field matching method. through the numerical calculation, we discuss the influence of various structure ' s parameter on the dispersion and the coupling impedance

    主要工作和創新成果如下：一、首先在盤荷波導理論的基礎上，嚴格分析加上脊后的各區場表達式，利用邊界條件和函數的正交性推導出對應的色散方程和耦合阻抗表達式，並通過數值模擬計算，詳細討論了該結構的幾何參數對色散方程和耦合阻抗的影響。
  12. The other is the local cosine bases developed as a kind of orthogonal basis based on the fourier analysis and wavelet - packet theory. in this thesis, theoretical analysis and numerical applications are mainly focused on the beamlet - domain wave field extrapolation using g - d frame propagators. the whole thesis consists of six chapters

    通過對具體信號的分析，對不同變換方法的信號表示效率進行了對比，並總結了g - d框架及對其進行尺度擴展組成的gabor函數族在應用於波場相關的研究中時，優于其它正交分解方法的特性。
  13. In chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. the advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. in chapter 3, the algorithm basis of mrtd : the combination of the wavelets and the method of moments ( mom ) is studied

    文中首先討論了mrtd的建立基礎，其中第二章介紹了其數學基礎小波分析及多分辨分析，討論了小波基函數的性質包括正交性、緊支撐性、多分辨性等及其應用於電磁場數值計算的優勢；第三章討論了其演算法基礎小波與矩量法的結合，闡述了以矩量法作為演算法基礎，以galerkin離散采樣的方式與小波函數結合而產生了mrtd 。
  14. The response and excitation signals are first decomposedusing the daubechies wavelet scaling function. then the differential vibrationequations of the time - varying system are transformed into simple linear equationsbased on the orthogonality of the scaling functions. the physical parameters can beidentified directly by solving the linear equations

    運用daubechies小波對線性時變系統的激勵和該激勵作用下的響應做變換，將變換后的響應和激勵代入微分方程，利用daubechies小波尺度函數的正交性，將微分方程轉換成簡單的代數方程組，求解方程組，識別系統的時變參數。
  15. They have a number of desirable properties not possessed by wavelets of daubechies type, namely : they have symmetry property ; the scaling function and physical space representation are identical ; expansion coefficients are easily computed ; in certain respects they are more accurate ; the functions ( but not their derivatives ) can be computed without solving an eigenproblem. the price to be paid for these advantages is the loss of orthogonality, interpolating wavelets are only biorthogonal

    本文主要的研究成果是把一維的某些結論推廣到高維，分為以下四個方面： （ 1 ）使用二元拉格朗日插值法構造二元尺度函數和小波函數，使其具有緊支性、對稱性以及函數展開式的系數易於計算等優點。唯一的缺陷是缺乏正交性。
  16. They can possess all properties simultaneously such as short support, orthogonality, symmetry and vanishing moments or higher approximation order which are superior to scalar wavelet

    由矩陣細分方程的某些矩陣性質，多尺度函數和多小波函數可同時具有正交性、對稱性、短支撐性和高逼近階。
  17. ( 2 ) in the study of multivariate phenomena, each time variable should possess its own scaling parameter in order to allow maximal flexibility in time - frequency. the notion of multifrequency multifunction wavelets, to be introduced, is based on this point of view. multifrequency wavelets, via directional multiresolution analysis, generated by a single function is extended to multifrequency multifunction wavelets generated by a finite number of functions

    （ 2 ）在研究多變量問題時，為了使時頻分析具有最大的靈活性，要求每個時間變量都有它自己的尺度參數，鑒於此，本文從尺度函數構成正交基或riesz基出發，把一維多函數小波推廣到二維多頻率多函數小波，解決了構造正交或雙正交多頻率多函數小波所需要的理論依據。
  18. The region of the filter coefficients which can generate biorthonormal mras is searched. the regularity of the scale functions in the region is analyzed

    求出了構成雙正交mras的濾波系數所在的范圍，分析了此范圍內濾波系數構成的尺度函數的正則性。
  19. We can apply many good qualities of wavelet orthogonal series to estimate the condition probability density function of hmm ' s

    我們利用小波正交級數的很多良好性質來估計隱馬爾科夫模型中的條件概率密度函數。
  20. 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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