Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks
The coprime discrete Fourier transform (DFT) filter banks provide an effective scheme of spectral sensing for wide-sense stationary (WSS) signals in case that the sampling rate is far lower than the Nyquist sampling rate. And the resolution of the coprime DFT filter banks in the Fourier domain (FD)...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/2608613 |
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| author | Xiaomin Li Huali Wang Wanghan Lv Haichao Luo |
| author_facet | Xiaomin Li Huali Wang Wanghan Lv Haichao Luo |
| author_sort | Xiaomin Li |
| collection | DOAJ |
| description | The coprime discrete Fourier transform (DFT) filter banks provide an effective scheme of spectral sensing for wide-sense stationary (WSS) signals in case that the sampling rate is far lower than the Nyquist sampling rate. And the resolution of the coprime DFT filter banks in the Fourier domain (FD) is 2π/MN, where M and N are coprime. In this work, a digital fractional Fourier transform- (DFrFT-) based coprime filter banks spectrum sensing method is suggested. Our proposed method has the same sampling principle as the coprime DFT filter banks but has some advantages compared to the coprime DFT filter banks. Firstly, the fractional power spectrum of the chirp-stationary signals which are nonstationary in the FD can be sensed effectively by the coprime DFrFT filter banks because of the linear time-invariant (LTI) property of the proposed system in discrete-time Fourier domain (DTFD), while the coprime DFT filter banks can only sense the power spectrum of the WSS signals. Secondly, the coprime DFrFT filter banks improve the resolution from 2π/MN to 2π sin α/MN by combining the fractional filter banks theory with the coprime theory. Simulation results confirm the obtained analytical results. |
| format | Article |
| id | doaj-art-3ad7cb58cf40421d87cee78ada9839fb |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3ad7cb58cf40421d87cee78ada9839fb2025-02-03T01:03:40ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/26086132608613Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter BanksXiaomin Li0Huali Wang1Wanghan Lv2Haichao Luo3School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, ChinaCollege of Communication, The Army Engineering University of PLA, Nanjing, ChinaResearch Institute of China Electronics Technology Group Corporation, Nanjing, ChinaCollege of Tourism, Henan Normal University, Xinxiang, Henan 453003, ChinaThe coprime discrete Fourier transform (DFT) filter banks provide an effective scheme of spectral sensing for wide-sense stationary (WSS) signals in case that the sampling rate is far lower than the Nyquist sampling rate. And the resolution of the coprime DFT filter banks in the Fourier domain (FD) is 2π/MN, where M and N are coprime. In this work, a digital fractional Fourier transform- (DFrFT-) based coprime filter banks spectrum sensing method is suggested. Our proposed method has the same sampling principle as the coprime DFT filter banks but has some advantages compared to the coprime DFT filter banks. Firstly, the fractional power spectrum of the chirp-stationary signals which are nonstationary in the FD can be sensed effectively by the coprime DFrFT filter banks because of the linear time-invariant (LTI) property of the proposed system in discrete-time Fourier domain (DTFD), while the coprime DFT filter banks can only sense the power spectrum of the WSS signals. Secondly, the coprime DFrFT filter banks improve the resolution from 2π/MN to 2π sin α/MN by combining the fractional filter banks theory with the coprime theory. Simulation results confirm the obtained analytical results.http://dx.doi.org/10.1155/2020/2608613 |
| spellingShingle | Xiaomin Li Huali Wang Wanghan Lv Haichao Luo Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks Complexity |
| title | Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks |
| title_full | Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks |
| title_fullStr | Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks |
| title_full_unstemmed | Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks |
| title_short | Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks |
| title_sort | sensing fractional power spectrum of nonstationary signals with coprime filter banks |
| url | http://dx.doi.org/10.1155/2020/2608613 |
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