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分数傅立叶变换在信号处理中的应用研究 被引量:7

A STUDY OF APPLYING FrFT TO SIGNAL PROCESSING
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摘要 本文系统论述了分数傅立叶变换在信号处理中的两个典型应用:信号滤波和信号分离;提出了分数傅立叶滤波器的设计思想和用分数傅立叶变换的特殊形式半傅立叶变换实现信号的分离的算法实现.通过MATLAB仿真实验证实:分数傅立叶滤波的效果明显优于傅立叶滤波;半傅立叶变换可以有效地从遥感探测早期响应的减幅正弦波的衰减指数中分离出似脉冲分量,进而去确定被探测物体的固有谐振频率. In this paper,two basic applications of FrFT(Fractional Fourier Transform)to signal processing,which is filtering and separating,has been discussed in detail.The Designing of FrFT-based filter was brought forward, explained, and emulated as well as using HFT(Half Fourier Transform)to separate signal's various components.
出处 《数值计算与计算机应用》 CSCD 2007年第3期198-214,共17页 Journal on Numerical Methods and Computer Applications
关键词 分数傅立叶变换 半傅立叶变换 信号处理 FrFT(Fractional Fourier Transform),HFT(Half Fourier Transform),Signal Processing
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