数字信号处理中的对称性问题  

Symmetry in digital signal processing

作　　者：虞粉英[1] 陆锦辉[1] Yu Fenying;Lu Jinhui(School of Electronic and Optical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]南京理工大学电子工程与光电技术学院,江苏南京210094

出　　处：《南京理工大学学报》2018年第5期615-621,共7页Journal of Nanjing University of Science and Technology

摘　　要：数字信号处理是利用计算机或信号处理设备、采用数值计算方法对信号进行处理的过程。该文分析了离散时间傅里叶变换(DTFT)、离散傅里叶变换(DFT)、连续与非周期以及离散与周期的对称性,将N点序列的离散谱视为DTFT连续谱一个周期的采样,解决了利用计算机分析信号频谱的问题。通过对比分析DTFT和DFT的对称性可知,将DFT的对称性应用到实序列DFT计算中,可减少约50%运算量。Digital signal processing(DSP)means that signals are processed using numerical methods and computer or other devices.Symmetries of the discrete-time Fourier transform(DTFT),the discrete Fourier transform(DFT),the continuous and non-periodic and the discrete and periodic are analyzed,and the technique of using the discrete spectrum of the N-point sequence as a sampling of one cycle of the DTFT continuum is provided.By comparing and analyzing the symmetries of DTFT and DFT,it shows that the calculation load of the DFT can be approximately reduced 50%through applying the symmetry of DFT to the DFT calculation of the real sequence.

关 键 词：数字信号处理 奇偶对称性 共轭对称性 圆周共轭对称性 

分 类 号：TN911.72[电子电信—通信与信息系统]