Further, with the help of the convolution theorem and inverse FOURIER transform, a semi-analytical solution of the velocity response under semi-sine impulse exciting is obtained. 然后利用卷积定理和傅立叶逆变换求得瞬态半个正弦波作用下桩顶响应的振动半解析解;
Convolution Theorem and Asymptotic Efficiency in Two Side Truncated Distribution Families 双边截断分布族中的卷积定理与渐近有效性
By using some properties of Γ function and its logarithmic derivative, and the convolution theorem for Laplace transforms, a convexity result of Γ function is obtained. As an application, the well-known Wallis 'inequality is refined. 利用Γ函数和它的对数微商的一些性质以及Laplace变换的卷积定理,Γ函数的一个凸性结果被获得.作为应用,著名的Wallis不等式被改进。
The convolution surface and curve correspondence theorem under orthogonal projection is presented. 给出了正交投影下卷积曲面和曲线对应的概念和相关定理,为二维的图像轮廓和三维人体模型之间建立对应关系;
The key lies in applying the convolution theorem to relate the time autocorrelation of electron density fluctuations with the function which can be directly calculated from the unperturbed orbits of charged particles. 本方法的关键是通过卷积定理把电子浓度涨落的时间自相关函数与能通过带电粒子的无干扰轨道直接计算出来的函数联系起来。
This paper gives the convolution integral theorem of the Green's function in the Cauchy's problem of the scalar field in the classical electromagnetic field. 本文给出经典电磁场标量科西问题的格林函数褶积定理。
In this paper, We introduce and study a subclass K(λ, α) of convex functions of order α. We prove an inclusion relation and a convolution theorem. 本文引进并研究α级凸象函数类的一个子类K(λ,α),证明了包含关系和卷积定理;
Analysis of Analog Modulation Based On Convolution Theorem and Hilbert Transform 基于卷积定理和希尔伯特变换的模拟调制分析
In general system, if two of inputting function, system function and outputting function are known, the other may be known certainly according to the de convolution theorem and the convolution theorem. 该定理与卷积定理配合,在一般系统中,只要已知输入函数x(t)、系统函数h(t)及输出函数y(t)中的任意两个,便可求得第三个函数。
A new predictive algorithm based on discrete convolution theorem is presented in this paper to meet the demand. 根据离散卷积原理,本文提出一种新的预报控制算法&响应系数预报控制。
The Solution of the Convolution Integral Theorem for the Network in the Cauchy's Problem of the Scalar Field 场科西问题的网络褶积定理解
On the basis of overlap save method and circular convolution theorem in the DFT, by LMS algorithm, formulas of LMS algorithm of the frequency-domain adaptive FIR digital filter are yielded. 本文应用DFT的重迭保留法和循环卷积定理、LMS算法原理,导出了频域自适应滤波的LMS算法的公式。
On Convolution Theorem of 1D Z Transform 一维Z变换中的卷积定理研究
This paper continues to study a family analytic functions A of linear homeomorphic and starlike functions in [ 1] introduced. We give the convolution theorem of family A ( A, or) and an inequality of coefficient sum. 本文继续研究〔1〕中引进的线性同胚于星象函数的一族解析函数A,给出了A族的卷积定理以及系数和的一个不等式。
Analytical solutions are obtained using Laplace transform and convolution theorem for the transient wave motion in saturated porous media under arbitrary stress boundary condition and displacement boundary condition, respectively. 利用拉氏变换和卷积定理,分别得到了边界自由排水时在任意应力边界条件和任意位移边界条件下瞬态波动过程的解析表达。
By using Fourier transformation for space variable, Laplace transformation for time variable and convolution theorem for their inverse transformations, a general solution for dynamical problem of infinite beam on an elastic foundation is obtained. 然后对空间变量和时间变量分别进行Fourier变换和Laplace变换,利用逆变换褶积积分,得到了弹性地基无限长梁一般动力问题的解析解。
So that the discrete Gyrator transform can be calculated by the Fast Fourier transform. The convolution expression of the general linear canonical transform has been derived. So it can be calculated by the Fourier transform according to the convolution theorem of Fourier transform. 其次,推导了一般线性正则变换的卷积表达形式,根据傅里叶变换的卷积定理,由快速傅里叶变换实现卷积计算。
By means of inverse Fourier transform technique and convolution theorem, the semi-analytical solution for the velocity response of a pile undergoing half-cycle sine pulse at the pile head is obtained in the time domain. 在此基础上,利用Fourier逆变换和卷积定理,求得了半正弦脉冲激励作用下桩顶速度时域响应的半解析解。
Further, in combination with the plane strain model, the analytical solutions of longitudinal vibration response of piles in frequency domain and the corresponding semi-analytical solutions in time domain were obtained using Laplace transform and convolution theorem. 进一步结合平面应变模型,通过Laplace变换和卷积定理等数学方法,求得任意激振力作用下的桩体振动频域响应解析解和时域响应半解析解。