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关于Z域取样定理和内插公式的进一步研究
引用本文:史萍.关于Z域取样定理和内插公式的进一步研究[J].中国传媒大学学报,2002,9(2):31-35.
作者姓名:史萍
作者单位:北京广播学院,电子信息工程系,北京,100024
摘    要:z域取样定理和内插公式在数字信号处理领域中有着非常重要的作用,但它是基于在单位圆上进行取样的.通过对取样及内插的进一步研究,提出并论证了适用面更为广泛的取样定理及内插公式,即取样点不在单位圆上,而是在与单位圆同圆心而不同半径的圆周上时,相应的取样定理和内插公式.

关 键 词:取样定理  内插公式  单位圆  z平面
文章编号:1007-8819(2002)02-0031-05
修稿时间:2002年3月5日

The Further Study of Sampling Theorem and Interpolation Formula in z Domain
SHI Ping.The Further Study of Sampling Theorem and Interpolation Formula in z Domain[J].Journal of Communication University of China Science and TEchnology,2002,9(2):31-35.
Authors:SHI Ping
Abstract:Sampling theorem and interpolation formula in z domain plays a very important role in the field of digital signal processing. However,the sampling is limited on the unit circle in z plane. By further study on sampling and interpolation,the paper presents and proves a new form of sampling theorem and interpolation formula which can be applicable to more situations,that is the sampling can not only be on the unit circle in z plane,but also be on other circles which have the same centre as the unit circle.
Keywords:Sampling Theorem  Interpolation Formula  Unit Circle  z Domain    
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