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.

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。

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；

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。

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

On Convolution Theorem of 1D Z Transform

一维Z变换中的卷积定理研究

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

Gives a fast border-deciding method for the two-dimensional linear discrete convolution. The convolution sum formula and its exact upper and lower borders of ten regions in the two-dimensional plane are also given.

导出了二维离散线性卷积的快速定限求解方法给出了在二维平面的十个区域中卷积的简便求和公式及卷积的上下限精确表达式。

Stress extruding into two main points of the unit impulse ( sequence) response and the convolution integral ( sum).

强调突出系统的单位冲激响应，信号的卷积积分两个重点分析与处理方法；

The Causality of the Analytic Algorithm for Convolution ( Convolution Sum) by the Gate Function

卷积（卷积和）的门函数解析算法的因果性

By computer simulation with convolution sum of FIR digital filter, the results show that the model is the same as traditional binary coding arithmetic, which can be used in chaotic signal processing systems. operation of the genetic algorithm;

最后通过FIR数字滤波器卷积操作的计算机数值仿真，结果表明采用这些方法运算得到的结果与传统二进制算术编码算法完全等效，可应用于混沌信号处理系统。

This model utilizes discrete sampling points as input directly, and convolution sum to deal with time accumulation process.

该模型以离散样本作为直接输入，采用卷积和算法实现对时间累积效应的处理。

Study on methods of calculating convolution sum

探讨卷积和的求解方法

The author also have successful designed the tracking circuit and convolution code encoder and viterbi decoder, and the simulation shows that the results are right and the module is good working.

本文还实现的码跟踪同步电路和维特比卷积码的编码器和译码器，仿真结果也证明其正确性。

At present, there are a variety of explanations about the concept of scale such as resolution, image size, quantitative, the distance and convolution kernel and so on.

目前对尺度的概念有多种解释，如采用不同分辨率作为图像尺度的，也有以图像尺寸大小为尺度的，有的以距离远近作为尺度，还有以卷积核的参数为尺度。

On method of solution in class { α,β} for the dual singular integral equation with Cauchy kernel and convolution kernel in the non-normal type case

{α，β}类中含Cauchy核与卷积核的对偶型奇异积分方程非正则型解法

Compare the image of the foramina within internal auditory canal fundus with virtual endoscope by different convolution kernel in reconstruction.

用不同的卷积系数重建图像，比较对按不同卷积系数得到的重建图像应用仿真内镜技术观察时内听道底神经管孔的显示情况。

In this paper, based on the algorithm of wavelet, a new fast convolution kernel for scene images was proposed.

在小波算法的基础上，提出了一种与小波预处理算法等价的预处理卷积核。

The Noether Theorem of the Singular Integral Equation with Convolution Kernel

含卷积核的奇异积分方程的Noether定理

Parametric definition and production of directional convolution kernel

定向卷积核的参数化定义和生成

In this paper, we discuss one kind of nonlinear Volterra integral equation with the convolution kernel, and give some results on the uniqueness and approximate method of the non-trivial solutions of this equation.

本文对一类具有卷积核的非线性Volterra型积分方程进行了讨论，给出了关于这类方程的非平凡解的存在性和解的逼近方法的一些结果。