Interpolated DFT Algorithm for Frequency Estimation by Using Maximum Sidelobe Decay Windows
A sinusoidal frequency estimator based on interpolated Discrete Fourier Transform (DFT) algorithm by using Maximum Sidelobe Decay (MSD) windows is proposed in this paper. Firstly, the received sinusoid is weighted by an appropriate MSD window. Then DFT is carried out on the weighted sinusoid and the...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9882119/ |
| _version_ | 1828105235908788224 |
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| author | Huihao Wu Huanhuan Song Yuchan Bai Lei Fan Jiyu Jin Jun Xing |
| author_facet | Huihao Wu Huanhuan Song Yuchan Bai Lei Fan Jiyu Jin Jun Xing |
| author_sort | Huihao Wu |
| collection | DOAJ |
| description | A sinusoidal frequency estimator based on interpolated Discrete Fourier Transform (DFT) algorithm by using Maximum Sidelobe Decay (MSD) windows is proposed in this paper. Firstly, the received sinusoid is weighted by an appropriate MSD window. Then DFT is carried out on the weighted sinusoid and the coarse estimation is acquired by finding the position of the maximum DFT sample. Different from all the existing algorithms, the presented estimator adopts the maximum DFT sample and two Discrete Time Fourier Transform (DTFT) spectral lines which are on the same side of the maximum DFT sample in the fine estimation step. MSE formulas of the presented estimator in additive white noise are derived. Simulation results indicate that the presented estimator outperforms the competing estimators. |
| first_indexed | 2024-04-11T10:00:11Z |
| format | Article |
| id | doaj.art-063d51c756934008a09c55c20f62bcdd |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-11T10:00:11Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-063d51c756934008a09c55c20f62bcdd2022-12-22T04:30:27ZengIEEEIEEE Access2169-35362022-01-0110957489576210.1109/ACCESS.2022.32053509882119Interpolated DFT Algorithm for Frequency Estimation by Using Maximum Sidelobe Decay WindowsHuihao Wu0https://orcid.org/0000-0002-3219-5303Huanhuan Song1Yuchan Bai2Lei Fan3https://orcid.org/0000-0003-4654-6511Jiyu Jin4Jun Xing5School of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian, ChinaA sinusoidal frequency estimator based on interpolated Discrete Fourier Transform (DFT) algorithm by using Maximum Sidelobe Decay (MSD) windows is proposed in this paper. Firstly, the received sinusoid is weighted by an appropriate MSD window. Then DFT is carried out on the weighted sinusoid and the coarse estimation is acquired by finding the position of the maximum DFT sample. Different from all the existing algorithms, the presented estimator adopts the maximum DFT sample and two Discrete Time Fourier Transform (DTFT) spectral lines which are on the same side of the maximum DFT sample in the fine estimation step. MSE formulas of the presented estimator in additive white noise are derived. Simulation results indicate that the presented estimator outperforms the competing estimators.https://ieeexplore.ieee.org/document/9882119/DFTDTFTfrequency estimationMSD window |
| spellingShingle | Huihao Wu Huanhuan Song Yuchan Bai Lei Fan Jiyu Jin Jun Xing Interpolated DFT Algorithm for Frequency Estimation by Using Maximum Sidelobe Decay Windows IEEE Access DFT DTFT frequency estimation MSD window |
| title | Interpolated DFT Algorithm for Frequency Estimation by Using Maximum Sidelobe Decay Windows |
| title_full | Interpolated DFT Algorithm for Frequency Estimation by Using Maximum Sidelobe Decay Windows |
| title_fullStr | Interpolated DFT Algorithm for Frequency Estimation by Using Maximum Sidelobe Decay Windows |
| title_full_unstemmed | Interpolated DFT Algorithm for Frequency Estimation by Using Maximum Sidelobe Decay Windows |
| title_short | Interpolated DFT Algorithm for Frequency Estimation by Using Maximum Sidelobe Decay Windows |
| title_sort | interpolated dft algorithm for frequency estimation by using maximum sidelobe decay windows |
| topic | DFT DTFT frequency estimation MSD window |
| url | https://ieeexplore.ieee.org/document/9882119/ |
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