傅里叶分析的发展与现状  

Development and current situation of Fourier analysis

作　　者：曾海东[1] 韩峰[1] 刘瑶琳 

机构地区：[1]内蒙古工业大学机械学院,内蒙古呼和浩特010051

出　　处：《现代电子技术》2014年第3期144-147,共4页Modern Electronics Technique

基　　金：内蒙古自治区自然科学基金项目(2011MS0173)

摘　　要：在计算机技术的支持下傅里叶分析得到了充分的发展。离散傅里叶变换(DFT)奠定了工程应用的基础;快速傅里叶变换(FFT)使其进入到了实用阶段。21世纪以来,高速微处理器使得速度不再是制约傅里叶分析的主要因素。由于高端科技对高准确度分析的需求,解决非同步采样条件下频谱误差问题成了现阶段最为迫切的任务。已有频谱校正成果采用了基本傅里叶理论以外的技术方法,开启了一个以寻求普适性频谱分析方法为目标、DFT后方法为主的发展方向。With the support of computer technology,Fourier analysis has been fully developed. Discrete Fourier transform （DFT） lays the foundation of engineering application. The fast Fourier transform （FFT） lead it to applicable stage. Since 21st century,speed is no longer the main factor restricting the application of Fourier analysis owing to the development of high speed microprocessor. In order to satisfy the requirement of sophisticated techniques for high accuracy analysis,solving spectrum error under asynchronous sampling has become the most urgent task at present. Some techniques beyond the basic Fourier theory have been adopted in current spectrum correction works,which implies a post-DFT developing direction for seeking universal spec-trum analysis method.

关 键 词：傅里叶分析 DFT FFT DFT频谱校正 参数估计 

分 类 号：TN911.7[电子电信—通信与信息系统]