fourier integral transform 中文意思是什麼
fourier integral transform
解釋
傅里葉積分變換-
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。 -
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。 -
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 -
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。 -
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。 -
Study on integral algorithm based on fourier transform
基於傅立葉變換的積分演算法研究 -
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。 -
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。 -
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。 -
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。 -
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。 -
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： -
The main work and achievements are summarized as follows : according to the spectrum analysis theory, the simple formula of the power spectrum between the excitation and the response is obtained. then the time - domain statistical properties of the structural response are acquired through fourier inverse transform, and cauchy ' s residue theorem is applied to solving the integral of fourier inverse transform, the structural dynamic reliability is calculated in terms of possion hypothesis based on first passage failure
主要研究內容如下：從譜分析理論出發，得到了激勵與響應功率譜之間的簡明關系式，由fourier逆變換得到響應的時域特徵，利用cauchy留數理論處理fourier逆變換的積分式，基於首超破壞的possion假設計算結構系統的動力可靠性，並在此基礎上進行結構優化設計，奠定了確定性模型的基礎。
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