Research on resolution between multi-component LFM signals in the fractional Fourier domain

被引：13

作者：

Liu Feng ^{[1
]}

Xu HuiFa ^{[1
,2
]}

Tao Ran ^{[3
]}

Wang Yue ^{[3
]}

机构：

[1] Naval Aeronaut Engn Inst, Elect & Informat Engn Dept, Yantai 264001, Peoples R China

[2] Peoples Liberat Army, Unit 94362, Qingdao 266111, Peoples R China

[3] Beijing Inst Technol, Sch Informat Sci & Technol, Beijing 100081, Peoples R China

来源：

SCIENCE CHINA-INFORMATION SCIENCES | 2012年 / 55卷 / 06期

关键词：

fractional Fourier transform; LFM signal; signal resolution; TRANSFORM; REPRESENTATION;

D O I：

10.1007/s11432-011-4324-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

When the initial frequencies and chirp rates of multi-component linear frequency modulation (LFM or chirp) signals are close, the signals may not be distinguished in the fractional Fourier domain (FRFD). Consequently, some signals cannot be detected. In this paper, first, the spectral distribution characteristics of a continuous LFM signal in the FRFD are analyzed, and then the spectral distribution characteristics of a LFM signal in the discrete FRFD are analyzed. Second, the critical resolution distance between the peaks of two LFM signals in the FRFD is deduced, and the relationship between the dimensional normalization parameter and the distance between two LFM signals in the FRFD is also deduced. It is discovered that selecting a proper dimensional normalization parameter can increase the distance. Finally, a method to select the parameter is proposed, which can improve the resolution ability of the fractional Fourier transform (FRFT). Its effectiveness is verified by simulation results.

引用

页码：1301 / 1312

页数：12

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