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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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2016-04-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016077/ |
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| _version_ | 1850095798213148672 |
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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 |
| id | doaj-art-040c6132d220494ca8d8f19bfe28167e |
| institution | DOAJ |
| issn | 1000-436X |
| language | zho |
| publishDate | 2016-04-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-040c6132d220494ca8d8f19bfe28167e2025-08-20T02:41:21ZzhoEditorial 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/zh/article/doi/10.11959/j.issn.1000-436x.2016077/fractional Fourier transformGaussian-weightedliner 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/zh/article/doi/10.11959/j.issn.1000-436x.2016077/ |
| work_keys_str_mv | AT pengwang parametersestimationoflfmsignalbasedongaussianweightedfractionalfouriertransform AT tianshuangqiu parametersestimationoflfmsignalbasedongaussianweightedfractionalfouriertransform AT jingchunli parametersestimationoflfmsignalbasedongaussianweightedfractionalfouriertransform AT haifengtan parametersestimationoflfmsignalbasedongaussianweightedfractionalfouriertransform |