用matlab实现两信号的卷积 论文.doc

 摘 要 MATLAB是一款在数学类科技应用软件中数值计算方面首屈一指可以进行矩阵运算、绘制函数和数据、实现算法、创建用户界面、连接其他编程语言的程序等，主要应用于工程计算、控制设计、信号处理与通讯、图像处理、信号检测、金融建模设计与分析等领域。Matlab软件处理下，实现任意两个序列的线性卷积对于工程上的辅助是相当重要的。卷积关系最重要的一种情况，就是在信号与线性系统或数字信号处理中的卷积定理。利用该定理，可以将时间域或空间域中的卷积运算等价为频率域的相乘运算，从而利用FFT等快速算法，实现有效的计算，节省运算代价。Matlab中运行所得到的卷积结果及波形图。 关键词：Matlab；线性卷积；序列；波形图 Abstract MATLAB is a type of technology in applications of mathematics, especially in numerical calculation of the leading software, which can be matrix calculation, and data mapping function, the realization of algorithms, creation of user interface, connected to other procedures, such as programming languages, the main application in engineering computing, control design, signal processing and communications, image processing, signal detection, financial modeling in areas such as design and analysis. And linear convolution in the application of engineering has a very wide range of software in Matlab, the realization of any two sequences of linear convolution support for projects is very important. Convolution relationship between the most important case, that is linear in the signal and digital signal processing system or the convolution theorem. Use of the theorem can be time-domain or space domain to the convolution operation in frequency domain equivalent of the multiplication operation, thus the use of FFT and other fast algorithms, the calculation of effective, cost-saving operation. In this paper, the definition of linear convolution, the analysis of its operation principle and the related formulas, procedures, and focuses on an analysis of the computing process of convolution, so that everyone understands the meaning of convolution. In order to let everyone have a more intuitive for their understanding, this article is also accompanied by a linear convolution operation in Matlab has been in the deconvolution results and waveforms. Key words：Matlab；Linear convolution；Sequence；Wave 目 录 引言 1 1 MATLAB简介 1 1.1 MATLAB的优势 1 1.1.1 友好的工作平台和编程环境 1 1.1.2