High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-Correlation
In UAV target localization, the accuracy of time delay estimation is the key to high-precision positioning. However, under low signal-to-noise ratio (SNR), time delay estimation suffers from serious secondary peak interference and low accuracy, which degrades the positioning accuracy. This paper pro...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/15/2397 |
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| author | Menghao Sun Ziang Niu Xuzhen Zhu Zijia Huang |
| author_facet | Menghao Sun Ziang Niu Xuzhen Zhu Zijia Huang |
| author_sort | Menghao Sun |
| collection | DOAJ |
| description | In UAV target localization, the accuracy of time delay estimation is the key to high-precision positioning. However, under low signal-to-noise ratio (SNR), time delay estimation suffers from serious secondary peak interference and low accuracy, which degrades the positioning accuracy. This paper proposes an improved time delay estimation algorithm based on generalized quadratic cross-correlation. By introducing exponential operations and Hilbert difference operation, suppressing noise interference, and sharpening the peaks of the signal correlation function, the algorithm improves the estimation accuracy. Through simulation experiments comparing with the generalized cross-correlation and quadratic correlation algorithms, the results show that the improved algorithm enhances the peak of the cross-correlation function, improves the accuracy of estimation, and exhibits better anti-noise performance in low SNR environments, providing a new approach for high-precision time delay estimation in complex signal environments. |
| format | Article |
| id | doaj-art-a6ff6dfc8d1c4e45a2ab393569c6a33b |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-a6ff6dfc8d1c4e45a2ab393569c6a33b2025-08-20T03:36:31ZengMDPI AGMathematics2227-73902025-07-011315239710.3390/math13152397High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-CorrelationMenghao Sun0Ziang Niu1Xuzhen Zhu2Zijia Huang3State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaNational Key Laboratory of Multi-Domain Data Collaborative Processing and Control, Xi’an 710068, ChinaIn UAV target localization, the accuracy of time delay estimation is the key to high-precision positioning. However, under low signal-to-noise ratio (SNR), time delay estimation suffers from serious secondary peak interference and low accuracy, which degrades the positioning accuracy. This paper proposes an improved time delay estimation algorithm based on generalized quadratic cross-correlation. By introducing exponential operations and Hilbert difference operation, suppressing noise interference, and sharpening the peaks of the signal correlation function, the algorithm improves the estimation accuracy. Through simulation experiments comparing with the generalized cross-correlation and quadratic correlation algorithms, the results show that the improved algorithm enhances the peak of the cross-correlation function, improves the accuracy of estimation, and exhibits better anti-noise performance in low SNR environments, providing a new approach for high-precision time delay estimation in complex signal environments.https://www.mdpi.com/2227-7390/13/15/2397time delay estimationgeneralized quadratic cross-correlationHilbert difference operationexponential operations |
| spellingShingle | Menghao Sun Ziang Niu Xuzhen Zhu Zijia Huang High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-Correlation Mathematics time delay estimation generalized quadratic cross-correlation Hilbert difference operation exponential operations |
| title | High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-Correlation |
| title_full | High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-Correlation |
| title_fullStr | High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-Correlation |
| title_full_unstemmed | High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-Correlation |
| title_short | High-Precision Time Delay Estimation Algorithm Based on Generalized Quadratic Cross-Correlation |
| title_sort | high precision time delay estimation algorithm based on generalized quadratic cross correlation |
| topic | time delay estimation generalized quadratic cross-correlation Hilbert difference operation exponential operations |
| url | https://www.mdpi.com/2227-7390/13/15/2397 |
| work_keys_str_mv | AT menghaosun highprecisiontimedelayestimationalgorithmbasedongeneralizedquadraticcrosscorrelation AT ziangniu highprecisiontimedelayestimationalgorithmbasedongeneralizedquadraticcrosscorrelation AT xuzhenzhu highprecisiontimedelayestimationalgorithmbasedongeneralizedquadraticcrosscorrelation AT zijiahuang highprecisiontimedelayestimationalgorithmbasedongeneralizedquadraticcrosscorrelation |