基于高斯加权分数阶傅里叶变换的LFM信号参数估计

doi:10.11959/j.issn.1000-436x.2016077

通信学报 ›› 2016, Vol. 37 ›› Issue (4): 107-115.doi: 10.11959/j.issn.1000-436x.2016077

基于高斯加权分数阶傅里叶变换的LFM信号参数估计

王鹏¹,邱天爽¹,李景春²,谭海峰^2,³

¹ 大连理工大学电子信息与电气工程学部，辽宁大连116024
² 国家无线电监测中心，北京100037
³ 北京邮电大学信息与通信工程学院，北京100876

出版日期:2016-04-25 发布日期:2016-04-26
基金资助:
国家自然科学基金资助项目;国家自然科学基金资助项目;国家自然科学基金资助项目

Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform

Peng WANG¹,Tian-shuang QIU¹,Jing-chun LI²,Hai-feng TAN^2,³

¹ Faculty of Electronic Information and Electrical E gineering, Dalian University of Technology, Dalian 116024, China
² State Radio Monitoring Center, Beijing 100037, China
³ School of Information and Communication Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China

Online:2016-04-25 Published:2016-04-26
Supported by:
The National Natural Science Foundation of China;The National Natural Science Foundation of China;The National Natural Science Foundation of China

摘要/Abstract

摘要：

针对低占空比下传统算法参数估计性能下降的问题，提出了一种高斯加权分数阶傅里叶变换(GFRFT, Gaussian-weighted fractional Fourier transform)参数估计方法。给出了时限信号GFRFT的定义并推导了其模值平方的特性，研究了高斯白噪声背景下GFRFT 的输出信噪比并给出了闭式表达式，进行了仿真实验并讨论说明了该方法的适用条件。仿真结果表明，该方法在低占空比的情况下可以有效地提高参数估计精度。

关键词: 分数阶傅里叶变换, 高斯加权, 线性调频信号, 频率估计

Abstract:

To overcome the performance degradation of conventiona methods in low duty ratio condition, a novel me-thod of parameters estimation for LFM signal based on the Gaussian-weighted fractional Fourier transform (GFRFT) was proposed. Firstly, the GFRFT definition was given and the LFM signal GFRFT with finite duration was derived. Secondly, the statistical characteristics of the GFRFT for the LFM signal under the Gaussian white noise were studied, and a closed mathematical expression of output signal-to-noise ratio was derived. Finally, simulation experiments are conducted, and the applicable condition of the GFRFT is also discussed, which demonstrates that the proposed method can effectively improve parameters estimation performance, especially in the low duty ratio condition.

Key words: fractional Fourier transform, Gaussian-weighted, liner frequency modulated signal,, frequency estimation

王鹏,邱天爽,李景春,谭海峰. 基于高斯加权分数阶傅里叶变换的LFM信号参数估计[J]. 通信学报, 2016, 37(4): 107-115.

Peng WANG,Tian-shuang QIU,Jing-chun LI,Hai-feng TAN. Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform[J]. Journal on Communications, 2016, 37(4): 107-115.

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参考文献 17

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占空比？	SNR_out/dB	GSNR_out/dB
0.2	12.75	14.00
0.3	16.50	17.75
0.4	19.02	20.08
0.5	20.98	21.90
0.6	22.73	23.46
0.7	23.55	24.18
0.8	24.77	25.19
0.9	25.95	26.15
1.0	26.88	26.78

基于高斯加权分数阶傅里叶变换的LFM信号参数估计

Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform

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