卷积定理

Signal and system is the basic theory of convolution theorem.

摘要信号与系统是卷积定理的基本理论。

Chapter 2 introduces the basic theory of image enhancement, convolution theorem and Fourier transform.

第二章先介绍了图像增强的基本理论，卷积定理以及傅里叶变换。

From the most basic signal analysis, digital signal processing, and the Fourier transform convolution theorem was derived and that, and with MATLAB simulation.

本文从最基本的信号系统分析、数字信号处理过程开始，对傅里叶变换以及卷积定理进行了推导和证明，并且用MATLAB进行仿真。

Using Matlab write a convolution theorem certification procedures, the immediate domain convolution corresponds to the frequency domain product.

用matlab写的一个验证卷积定理的程序，即时域的卷积对应着频域的乘积。

This article from the start with the basic signal analysis, the Fourier transform, convolution theorem derivation and feasibility studies, and its use of simulation software MATLAB simulation, to be more intuitive signal of the spectrum changes, simulation discrete signal The system response.

本文就从最基本的信号系统分析入手，对傅里叶变换、卷积定理进行推导和论证，并且运用仿真软件MATLAB对其进行仿真，目的是更直观的研究信号的频谱变化关系，仿真离散信号的系统响应。

According to the frequency-domain convolution theorem, we can prove the peak frequency and phase are frequency and phase of the harmonic wave signal.

根据频域卷积定理证明最大峰值点的频率和相位就是信号的实际频率和相位，依据由卷积关系得出的关于幅值的方程求出校正幅值。

According to induced response method, the expression in frequency domain of pressure response at the end of pipeline is derived using impulse response method and convolution theorem. The expression indicates that that transfer function is only related to the characteristics of pipeline system and the Fourier transform of flow variable only depends on the operating characteristics, and the pressure response in frequency domain is linear with the Fourier transform of flow variable.

基于激励响应法，应用脉冲响应方法和卷积定理得出了管道末端压力响应在频域中的表达式，此式表明：传递函数只与系统的特性相关，流量变量的傅立叶变换只与操作特性相关，且压力频域响应与流量变量的傅立叶变换为线形关系，根据此式在理论上能够得到管道泄漏点的重要信息。

This paper proposes the generalized design method for the perfect reconstruction filter banks in the FRFD based on the FRFD analysis of sampling rate conversion and the fractional convolution theorem, which are the basis of the applications of filter bank theory in the FRFD.

本文从分数阶傅里叶域多抽样率信号处理基本理论和分数阶卷积定理出发，推导出了分数阶傅里叶域准确重建滤波器组的一般化设计方法，为分数阶傅里叶域滤波器组理论在实际工程中的推广应用奠定了理论基础。

Then is the property of fourier transform detally,it contains linar, symmetry,uncover,switch,time-move,frequency-move,time-differentialcoefficient,frequency-differential coefficient,time-intergrate, frequency-intergrate,odd even, theorem of Parseval ,and theorem of convolution,and make testify to some property,some have the example.

接着详细概括了傅立叶变换的性质，即线性、对称性、折叠性、尺度变换性、时移性、频移性、时域微分性、频域微分性、时域积分性、频域积分性、帕塞瓦尔定理、奇偶性及卷积定理等，对某些性质相应的做了推导，并附有适当事例。

On the time shift problems, the significance of the new concept of dyadic time has been interpreted.

在时移问题上，通过相关函数、卷积定理和功率谱定理来理解&并矢时间&这一新概念的意义。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。