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基于聚类分析的分数阶Fourier变换信号分离与检测
邵亚勇,竺小松
0
(解放军电子工程学院,合肥 230037)
摘要:
针对应用分数阶Fourier变换检测多分量信号计算量大、效率低的问题,提出在分数 阶Fourier域采取混沌-多步拟牛顿法和聚类分析相结合的方法分离与检测信号。在保证全局 快速搜索最强信号的条件下,实现一次检测多个较强信号,并将已检信号逐次消去,减小对 剩余信号检测的影响。仿真结果表明,该方法能快速分离检测多种调制的频谱混叠信号。
关键词:  信号检测  频谱混叠信号  分数阶Fourier变换  拟牛顿法  聚类分析  逐次相消
DOI:
基金项目:
Separation and Detection of Signals by Fractional Fourier Transform Based on Cluster Analysis
SHAO Ya-yong,ZHU Xiao-song
()
Abstract:
For the problem of intensive calculation and low efficiency in applicat ion of fractional Fourier transform(FRFT) for the detection of multi-component s ignal, this paper proposes to take chaos-multi-step-quasi-Newton method and cluster ana lysis in t he fractional Fourier domain separation and detection of signals. In global cond ition of quick searching for the strongest signal,detection of mul tiple strong signals is realized, and the signals seized are cancelled successiv ely to r educe the impact on the remaining signal detection. The simulation results sho w that this method can separate and detect a variety of modulation signal with spectral aliasing.
Key words:  signal detection  spectrum aliasing signal  fractional Fourier transform  quasi-Newton method  clu ster analysis  successive cancellation