A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna Systems
This paper proposes a new fast time-delay estimation (TDE) method based on polynomial inversion which addresses the challenges arising from the requirements for high-precision, low-computational-complexity synchronization error estimation in wideband large-scale antenna systems (LSASs). In this work...
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| Format: | Article |
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MDPI AG
2022-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/7/3378 |
| _version_ | 1797440480479281152 |
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| author | Xiaowei Liu Guangliang Ren Xiaoman Yin Bo Zhang Yu Wang |
| author_facet | Xiaowei Liu Guangliang Ren Xiaoman Yin Bo Zhang Yu Wang |
| author_sort | Xiaowei Liu |
| collection | DOAJ |
| description | This paper proposes a new fast time-delay estimation (TDE) method based on polynomial inversion which addresses the challenges arising from the requirements for high-precision, low-computational-complexity synchronization error estimation in wideband large-scale antenna systems (LSASs). In this work, we use the convex parabolic extreme point equation as the timing error detector (TED), and develop a polynomial inversion-based function to characterize the one-to-one mapping relationship between true time delay (TTD) and TED estimates using the least square (LS) method, then obtain the time-delay difference with a high accuracy and high computational efficiency. The results of the performance analysis indicate that the Mean Square Error (MSE) of the proposed algorithm is less than 1 dB away from the Cramer–Rao lower bound (CRLB), which is produced in this paper, while adding a few multipliers compared to the convex parabolic interpolation method. Finally, a further example illustrates that the proposed algorithm can achieve a synchronization error of less than 5 ps between channels based on the NI PXI broadband multichannel acquisition platform. |
| first_indexed | 2024-03-09T12:08:48Z |
| format | Article |
| id | doaj.art-8d11cf77ba984f45ae6dc6eec4402ac6 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T12:08:48Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-8d11cf77ba984f45ae6dc6eec4402ac62023-11-30T22:54:55ZengMDPI AGApplied Sciences2076-34172022-03-01127337810.3390/app12073378A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna SystemsXiaowei Liu0Guangliang Ren1Xiaoman Yin2Bo Zhang3Yu Wang4State Key Laboratory of Integrated Service Networks, Xidian University, Xi’an 710071, ChinaState Key Laboratory of Integrated Service Networks, Xidian University, Xi’an 710071, ChinaAPAC ADG Application Engineering, National Instruments Corp., Shanghai 201210, ChinaAPAC ADG Application Engineering, National Instruments Corp., Shanghai 201210, ChinaAPAC ADG Application Engineering, National Instruments Corp., Shanghai 201210, ChinaThis paper proposes a new fast time-delay estimation (TDE) method based on polynomial inversion which addresses the challenges arising from the requirements for high-precision, low-computational-complexity synchronization error estimation in wideband large-scale antenna systems (LSASs). In this work, we use the convex parabolic extreme point equation as the timing error detector (TED), and develop a polynomial inversion-based function to characterize the one-to-one mapping relationship between true time delay (TTD) and TED estimates using the least square (LS) method, then obtain the time-delay difference with a high accuracy and high computational efficiency. The results of the performance analysis indicate that the Mean Square Error (MSE) of the proposed algorithm is less than 1 dB away from the Cramer–Rao lower bound (CRLB), which is produced in this paper, while adding a few multipliers compared to the convex parabolic interpolation method. Finally, a further example illustrates that the proposed algorithm can achieve a synchronization error of less than 5 ps between channels based on the NI PXI broadband multichannel acquisition platform.https://www.mdpi.com/2076-3417/12/7/3378TDEpolynomial inversionwideband large-scale antenna systems |
| spellingShingle | Xiaowei Liu Guangliang Ren Xiaoman Yin Bo Zhang Yu Wang A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna Systems Applied Sciences TDE polynomial inversion wideband large-scale antenna systems |
| title | A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna Systems |
| title_full | A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna Systems |
| title_fullStr | A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna Systems |
| title_full_unstemmed | A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna Systems |
| title_short | A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna Systems |
| title_sort | polynomial inversion based fast time delay estimation method for wideband large scale antenna systems |
| topic | TDE polynomial inversion wideband large-scale antenna systems |
| url | https://www.mdpi.com/2076-3417/12/7/3378 |
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