fourier integral 中文意思是什麼

fourier integral 解釋
傅里葉積分
  • fourier : n 1 傅立葉〈姓氏〉。2 Francois Marie Charles Fourier 弗朗瓦斯馬利沙利傅立葉〈1772 1837,法國空想...
  • integral : adj 1 完全的;缺一不可的,主要的。2 【數學】整的,積分的。n 全體,整體;【數學】積分。 definite i...
  1. The fourier transform is an integral expression for a fourier series applied to an infinitely long signal.

    傅里葉變換式是對博里葉級數的一種積分表達式。
  2. Aapproximation of fourier inverse integral using fourier transform approximation for amplitude of harmonics in a finite fourier series summation

    富氏級數中之諧波成份以富氏轉換近似並以有限級數和近似富氏逆轉換。
  3. The solving process of the d ' alembert ' s differential equation using fourier ' s triple integral transform method

    用重傅氏積分變換法求解達朗貝爾方程
  4. Study the fourier integral algorithm

    傅立葉積分演算法研究
  5. By means of fourier integral for analysis of plus mag netic field frequency spectrum. it provides relation of magnetic field with maxim um frequency

    利用付立葉積分對脈沖磁場進行頻譜分析,討論了脈沖磁場大小隨所選擇頻率上限之間的關系
  6. 103 picks up where 18. 100b ( analysis i ) left off. topics covered include the theory of the lebesgue integral with applications to probability, fourier series, and fourier integrals

    課程18 . 103是18 . 100b (分析i )的延續。本課程的主題包括:運用概率論的勒貝格積分理論,傅立葉級數,以及傅立葉積分。
  7. We also derived the relationship between the radial local density distribution and the observed line integral density distribution by fourier integral transform. on this basis, the density inversion calculation is realized through fft method and is independent of abel inversion

    另外,本文還著重推導了線積分密度分佈和徑向體密度分佈之間的傅立葉積分變換關系,並利用快速傅立葉變換實現了完全拋開abel反演公式的密度反演計算。
  8. In section 4, by making use of the fourier transformation for spatial variables and starting from the nonparaxial propagating equation of ultrashort pulsed beam in temporal frequency domain, the nonparaxial solution basing on the paraxial propagating solution was derived, which come to exact solution by iterative of the paraxial integral solution

    在第四節里,通過採用空間變量的傅立葉變換和利用時間頻率域下的非傍軸傳輸方程,我們得出了超短脈沖光束傳輸的非傍軸的修正方法。
  9. By use of the fourier transform, the problem can be solved with the help of two pairs of dual integral equations in which the unknown variables are the jumps of the displacements across the crack surfaces

    利用傅立葉變換,將問題的求解轉換為對以裂紋面上位移差為未知函數的對偶積分方程的求解。
  10. Study on integral algorithm based on fourier transform

    基於傅立葉變換的積分演算法研究
  11. Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result ; it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal

    小波分析優于傅里葉之處在於,小波分析在時域和頻域同時具有良好的局部化性質,因為小波函數是緊支集,而三角正、餘弦的區間是無窮區間,所以小波變換可以對高頻成分採用逐漸精細的時域或空間域取代步長,從而可以聚焦到對象的任意細節。
  12. Thirdly, the method to calculate the 3 - d dynamic responding of layered transversely isotropic saturated soils to an arbitrary buried source in cylindrical coordinate as well as to an arbitrary harmonious source in rectangular coordinate is presented respectively. based on biot ' s wave theory, the 3 - d wave equations in cylindrical coordinate for transversely isotropic saturated poroelastic media are transformed into a group of governing different equations with 1 - order by the fourier expanding with respect to azimuth and hankel integral transform method or by the double fourier transform method with respect to horizontal coordinates in rectangular coordinate. then, transfer matrixes within layered media are derived under the continuous conditions, drainage conditions and the boundary conditions

    基於飽和土的biot波動理論,通過fouricr變換,將橫觀各向同性飽和土三維非軸對稱波動方程轉化為一組一階常微分方程組,再經har止el變換,建立問題的狀態方程,求解狀態方程得到傳遞矩陣;利用傳遞矩陣,結合飽和層狀地基的邊界條件、排水條件及層間接觸和連續條件,首次給出層狀橫觀各向同性飽和地基在任意地展力作用下的三維非軸對稱動力響應的解析解。
  13. Firstly, in the paper a family of integral solution representing ultrashort pulsed beam propagating in free space have been studied by using the co - moving frame coordinates and the fourier transformation for time variable in terms of well - known paraxial approximation. and the pulsed gaussian - like beam solution can be obtained as a especial solution of the integral solution, where including the pulsed gaussian beam

    首先利用傅立葉變換和惠更斯-菲涅爾衍射積分公式,我們給出了傍軸標量場近似下超短脈沖光束傳輸的基本積分解,並進一步得到了用卷積形式表示的脈沖類gauss光束解( pulsedgaussian - likebeam )的普遍形式解。
  14. But the complex analytical signal ( cas ) theory can erase this spatial sigu - larity. in this section, gauss, hyperbolic and lorentz pulsed gaussian beam have been derived and compared svea and cas solution by numerical simulatio n. in section 3, by using fourier transform technique and applying the paraxial approximation in frequency domain, we derive an integral solution for the transverse and longitudinal components of the light field propagating in free space

    接著,考慮了幾種特殊的脈沖gauss光束( pulsedgaussianbeam ) ,結果顯示,在此情況下緩變包絡近似( slowly - varyingenvelopeapproximation )理論已不再有效,其失效的原因是,該理論導致了脈沖光束解的空間奇異性,並使脈沖光束不再具有符合物理意義的光束行為,而通過復解析信號的分析方法可以消除這種空間奇異性。
  15. The main contents of this thesis are : ( 1 ) two numerical reconstruction methods - direct fourier transform method and envelope method, are presented. these methods are deduced on the base of fresnel diffraction integral formula, which is under the condition that particle field is illuminated by plane wave

    主要工作內容有: ( 1 )分析推導了平面物菲涅耳衍射的兩種常用數值實現演算法,即直接傅里葉變換法和卷積法,結論表明後者更符合實際工作的要求。
  16. Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result, it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal

    經典的fourier變換把信號按三角正、餘弦基展開,將任意函數表示為具有不同頻率的諧波函數的線性迭加,能較好地刻劃信號的頻率特性,但它在時空域上無任何分辨,不能作局部分析,這在理論和應用上都帶來了許多不便。
  17. Integral theorem of fourier

    傅里葉積分公式
  18. Choose the proper sample and compare by two means. first is to compare actual value to the calculated, and second is analysis of the effect on harmonic wave. take fast fourier transform algorithm to the samples fore - and - aft integral, and compare the amplitude and angle

    首先是直接比較實際值與還原值,其次是分析各種演算法對諧波的影響:分別對積分前後的采樣值進行快速傅立葉變換,比較各次諧波幅值和相位的變化。
  19. In the first part, we have studied the stimulated algorithm of the diffraction of light ; and, through direct integral, convolution, and fourier transform, we created the numerical algorithm of fresnel integral and additionally, these three methods have also been compared in this paper

    首先研究光線衍射傳播的模擬演算法,分別利用直接積分法、卷積法和傅里葉變換法實現了菲涅耳積分的數值計算方法,同時比較了這三種方法的優劣。
  20. Is as follows : according to energy integral of parseval equation of fourier transform, we get

    根據傅氏變換的能量積分的巴塞瓦parseval等式:
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