卷积移位性质的研究  

Research on the Shift Property of Convolution

作　　者：史慧敏 任国凤[2] 刘明君[2] 荀燕琴 SHI Huimin;REN Guofeng;LIU Mingjun;XUN Yanqin(Xinzhou Teachers University,XinzhouShanxi 034000)

机构地区：[1]忻州师范学院电子系,山西忻州034000 [2]忻州师范学院,山西忻州034000

出　　处：《浙江万里学院学报》2022年第4期93-96,共4页Journal of Zhejiang Wanli University

基　　金：山西省高等学校教学改革创新项目(J2021571);忻州师范学院教学改革创新项目(JGYB202211);忻州师范学院科研基金资助项目(2021KY15)。

摘　　要：卷积是一种重要的积分变换方法,在现代信号处理技术的多个领域都有非常广泛的应用,许多有待深入研究的新课题也有赖于卷积。卷积本身蕴含着某些特殊的性质,这些性质不仅能够简化卷积的运算过程,而且能够揭示卷积运算的内在规律。移位运算是一种非常重要的信号运算,广泛存在于信号处理过程中,通过对卷积的定义和已有性质的进一步研究,结合卷积定理和傅里叶变换理论,提出并证明了卷积的移位性质及其推论。Convolution is an important integral transformation method,which has a very wide applications in many fields of modern signal processing technology.Many new topics to be further studied also depend on convolution integral.The convolution integral itself contains some special properties,which can not only simplify the convolution operation,but also reveal the inner principle of the convolution operation.Shift operation is a very important signal operation method,which is widely used in signal processing.Through the research of convolution definition and existing properties,combined with convolution theorem and Fourier transform theory,the shift property of convolution integral and its inference are proved.

关 键 词：卷积 移位性质 推论 

分 类 号：TN911.1[电子电信—通信与信息系统]