频谱泄漏效应补偿的信号处理方法研究  

Research on Signal Processing Method of Spectrum Leakage Compensation

作　　者：刘春艳[1] 王春民[1,2] 崔艳群[1] 尹晶[1] 白烨[1] LIU Chunyan WANG Chunmin CUI Yanqun YIN Jing BAI Ye(Department of Electronic Engineering, College of Optical and Electronieal Information Changehun University of Science and Technology, Changehun 130012, China College of Instrumentation ＆ Eleetrieal Engineering, Jilin University, Changehun 130061, China)

机构地区：[1]长春理工大学光电信息学院电子工程分院,长春130012 [2]吉林大学仪器科学与电气工程学院,长春130061

出　　处：《吉林大学学报（信息科学版）》2016年第3期339-344,共6页Journal of Jilin University（Information Science Edition）

基　　金：吉林省十三五科研规划基金资助项目(2015581);吉林省科技发展计划重点基金资助项目(20120328)

摘　　要：为减小频谱泄漏对谱分析的影响,将传统离散傅里叶变换(DFT:Discrete Fourier Transform)的方法和运算从经典的一维频谱扩展到二维时频谱,在此基础上对简谐信号存在能量泄漏的频谱中任意频率成分的幅值与时域信号截断长度的关系(时谱)进行实验研究,从而提出一种信号的时谱描述方法。实验结果表明,在频谱泄漏条件下任意频率成分的幅值随时域信号截断长度的变化遵从︱sinc︱函数,基于这种关系可完成简谐信号任意截断条件下的频谱构造,实现零误差幅值谱构成,得到非整周期截断时DFT幅值谱误差与信号中所含周期数的关系服从指数规律,且当信号长度是周期的10倍时,DFT频谱产生的标准差约为0.001。To reduce the influence of spectrum leakage of spectrum analysis, the method and operation oftraditional Db3＂ （Discrete Fourier Transform） are expanded from classical one-dimension spectrum to a time-frequency spectrum of two-dimension, and the relationship between a frequency component＇s amplitude in energyleakagespectrum and truncating length of a time-domain signal is examined in terms of time-spectrum. The resultindicates that the amplitude fluctuation of any frequency component along with the truncating length of thetime-domain signal complies with I sincl function, so that a expression of signal can be presented in time-spectrum with a I sinc I function. The spectrum from any appointed signal length is constructed and zero error ofamplitude spectrum is implemented. The index law that the relationship between DFT spectrum amplitude errorunder un-period truncation and signal cycles is obtained. When the signal cycle length is 10 times, DFTspectrum produced by the standard deviation is about 0.001.spectrum structure

关 键 词：频谱泄漏 时谱 ｜ sinc ｜函数 频谱构造 

分 类 号：TN911.7[电子电信—通信与信息系统]