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

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...

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Main Authors: Peng WANG, Tian-shuang QIU, Jing-chun LI, Hai-feng TAN
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2016-04-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2016077
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author Peng WANG
Tian-shuang QIU
Jing-chun LI
Hai-feng TAN
author_facet Peng WANG
Tian-shuang QIU
Jing-chun LI
Hai-feng TAN
author_sort Peng WANG
collection DOAJ
description 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.
format Article
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institution OA Journals
issn 1000-436X
language zho
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publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-92622ff14af948af95631abd894a6c8a2025-08-20T02:09:31ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2016-04-013710711559700487Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transformPeng WANGTian-shuang QIUJing-chun LIHai-feng TANTo 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.http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2016077fractional Fourier transform;Gaussian-weighted;liner frequency modulated signal;frequency estimation
spellingShingle Peng WANG
Tian-shuang QIU
Jing-chun LI
Hai-feng TAN
Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform
Tongxin xuebao
fractional Fourier transform;Gaussian-weighted;liner frequency modulated signal
;frequency estimation
title Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform
title_full Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform
title_fullStr Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform
title_full_unstemmed Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform
title_short Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform
title_sort parameters estimation of lfm signal based on gaussian weighted fractional fourier transform
topic fractional Fourier transform;Gaussian-weighted;liner frequency modulated signal
;frequency estimation
url http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2016077
work_keys_str_mv AT pengwang parametersestimationoflfmsignalbasedongaussianweightedfractionalfouriertransform
AT tianshuangqiu parametersestimationoflfmsignalbasedongaussianweightedfractionalfouriertransform
AT jingchunli parametersestimationoflfmsignalbasedongaussianweightedfractionalfouriertransform
AT haifengtan parametersestimationoflfmsignalbasedongaussianweightedfractionalfouriertransform