基于高斯短时分数阶傅里叶变换的多分量LFM信号检测与参数估计

李家强; 金荣洪; 耿军平; 范瑜; 毛炜

doi:10.3724/SP.J.1146.2005.00857

基于高斯短时分数阶傅里叶变换的多分量LFM信号检测与参数估计

doi: 10.3724/SP.J.1146.2005.00857

李家强^{①;金荣洪},
金荣洪,
耿军平,
范瑜,
毛炜

基金项目:

国家自然科学基金委创新研究群体基金项目(60521002)资助课题

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出版历程
- 收稿日期: 2005-07-18
- 修回日期: 2006-09-18
- 刊出日期: 2007-03-19

Detection and Estimation of Multi-component LFM Signals Based on Gauss Short-Time Fractional Fourier Transform

摘要

摘要: 该文针对线性调频信号，提出一种基于分数阶波包变换分析方法高斯短时分数阶傅里叶变换。通过旋转角度的搜索及高斯窗口宽度的调整，能够在低信噪比条件下对多分量LFM信号进行检测，避免交叉项的出现，并能得到参数的估计值。通过推导分析给出变换结果的解析表达式，计算机仿真结果也表明了该变换的有效性。
- 线性调频信号;分数阶傅里叶变换;信号检测;参数估计
Abstract: Based on fractional wave packet transform, a new hybrid time-frequency transform: Gauss Short-time Fractional Fourier Transform (GSFrFT) is proposed for the detection and estimation of Linear Frequency-Modulated (LFM) signals. Multiple LFM signals can be detected in low SNR by choosing the rotated angle and cross-items can be avoided. Analytical expression of the transform result is given. The simulation results also show that the GSFrFT is valid.

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