类傅里叶变换的多分量信号分离重构Reconstructionof-电子与信息学报.PDFVIP

第29 卷第6 期 电 子 与 信 息 学 报 Vol.29No.6 2007 年6 月 Journal of Electronics Information Technology Jun. .2007 类傅里叶变换的多分量信号分离重构 毕 岗 曾 宇 (浙江大学信息与电子工程学系 杭州 310027) 摘 要：针对多分量信号重构的问题，该文提出了一种新颖的类傅里叶变换方法，并对其基本性质进行了分析。 采用该方法将频域上混叠但在时频二维频谱图上不重叠的多分量信号变换到类傅里叶变换域，使之在频谱上不产 生混叠，从而达到信号分离重构的目的。与分数傅里叶域最优滤波的方法进行的对比分析说明，类傅里叶变换方 法的适用范围更宽。文中对非线性的多分量调幅信号进行了仿真计算，得到了满意的结果。表明该方法在信号检 测和分析方面具有应用价值。 关键词：多分量信号；类傅里叶变换；重构 中图分类号：TN911.7 文献标识码：A 文章编号：1009-5896(2007)06-1399-04 Reconstruction of Multi-component Signals Based on the Analogous Fourier Transform Bi Gang Zeng Yu (Department of Information and Electronics Engineering, Zhejiang University, Hangzhou 310027, China) Abstract: A novel method of analogous Fourier transform is proposed for reconstruction of multi-component signals, and the behaviors of this method are investigated. This method transforms multi-component signals, which are aliasing in frequency domain but not overlapping in time-frequency spectrogram, into analogous Fourier frequency domain where no aliasing appears. Compared with the method of optimal filtering in fractional Fourier domain, this method has better applicability. Simulation results show that this method can produce reliable reconstruction signals. This method has a variety of applications in the aspect of signal detection and analysis. Key words: Multi-component signals; Analogous Fourier transform; Reconstruction 1 引言 少许重叠的分数傅里叶域，在此分数域上滤波即可得到重构 的信号。此方法的缺点是即使在最优化的分数傅里叶域中也 线性和非线性调频信号被广泛地应用于声振分析、雷达 不能保证信号分量是没有重叠的，一旦信号分量之间相互重 和通信等领域中