DFT-Based Frequency Estimation of Multiple Sinusoids
An accurate frequency estimation method of multi-component sinusoidal signal in additive white Gaussian noise (AWGN) is proposed. The algorithm is implemented in the frequency domain and based on discrete Fourier transform (DFT). The maximum DFT spectral line and two Discrete-Time Fourier Transform...
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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/9690852/ |
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author | Nian Liu Lei Fan Huihao Wu Jiyu Jin Jun Xing Zhanhong Liu |
author_facet | Nian Liu Lei Fan Huihao Wu Jiyu Jin Jun Xing Zhanhong Liu |
author_sort | Nian Liu |
collection | DOAJ |
description | An accurate frequency estimation method of multi-component sinusoidal signal in additive white Gaussian noise (AWGN) is proposed. The algorithm is implemented in the frequency domain and based on discrete Fourier transform (DFT). The maximum DFT spectral line and two Discrete-Time Fourier Transform (DTFT) samples located on the same side of the maximum DFT spectral line are used to estimate the frequency of a sinusoidal component. And this algorithm is utilized in both the coarse estimation and the fine estimation. Simulation results show that compared with the competing estimators, the presented method is closer to the Cramer-Rao lower bound (CRLB). And it is almost independent of the frequency displacement. The numerical complexity of the presented method is similar with the competing DFT-based algorithms. |
first_indexed | 2024-12-10T05:06:29Z |
format | Article |
id | doaj.art-92f6d6236ddb4e6c88ad5589f7d05359 |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-12-10T05:06:29Z |
publishDate | 2022-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
spelling | doaj.art-92f6d6236ddb4e6c88ad5589f7d053592022-12-22T02:01:13ZengIEEEIEEE Access2169-35362022-01-0110402304023610.1109/ACCESS.2022.31459139690852DFT-Based Frequency Estimation of Multiple SinusoidsNian Liu0https://orcid.org/0000-0002-3880-1386Lei Fan1https://orcid.org/0000-0003-4654-6511Huihao Wu2https://orcid.org/0000-0002-3219-5303Jiyu Jin3https://orcid.org/0000-0003-3607-0003Jun Xing4Zhanhong Liu5School 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, ChinaAn accurate frequency estimation method of multi-component sinusoidal signal in additive white Gaussian noise (AWGN) is proposed. The algorithm is implemented in the frequency domain and based on discrete Fourier transform (DFT). The maximum DFT spectral line and two Discrete-Time Fourier Transform (DTFT) samples located on the same side of the maximum DFT spectral line are used to estimate the frequency of a sinusoidal component. And this algorithm is utilized in both the coarse estimation and the fine estimation. Simulation results show that compared with the competing estimators, the presented method is closer to the Cramer-Rao lower bound (CRLB). And it is almost independent of the frequency displacement. The numerical complexity of the presented method is similar with the competing DFT-based algorithms.https://ieeexplore.ieee.org/document/9690852/DFTfrequency estimationmultiple sinusoidsCRLB |
spellingShingle | Nian Liu Lei Fan Huihao Wu Jiyu Jin Jun Xing Zhanhong Liu DFT-Based Frequency Estimation of Multiple Sinusoids IEEE Access DFT frequency estimation multiple sinusoids CRLB |
title | DFT-Based Frequency Estimation of Multiple Sinusoids |
title_full | DFT-Based Frequency Estimation of Multiple Sinusoids |
title_fullStr | DFT-Based Frequency Estimation of Multiple Sinusoids |
title_full_unstemmed | DFT-Based Frequency Estimation of Multiple Sinusoids |
title_short | DFT-Based Frequency Estimation of Multiple Sinusoids |
title_sort | dft based frequency estimation of multiple sinusoids |
topic | DFT frequency estimation multiple sinusoids CRLB |
url | https://ieeexplore.ieee.org/document/9690852/ |
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