A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform

High-frequency vibration error of a moving radar platform easily introduces a non-negligible phase of periodic modulation in radar echoes and greatly degrades terahertz synthetic aperture radar (THz-SAR) image quality. For solving the problem of THz-SAR image-quality degradation, the paper proposes...

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Autores principales:	Yinwei Li, Qi Wu, Jiawei Jiang, Xia Ding, Qibin Zheng, Yiming Zhu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	high-frequency vibration error maximum likelihood function (MLF) short-time Fourier transform (STFT) random sample consensus (RANSAC) terahertz synthetic aperture radar (THz-SAR) Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/38900a5c84504c37864976b60a8750ec
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spelling	oai:doaj.org-article:38900a5c84504c37864976b60a8750ec2021-11-25T16:39:29ZA High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform10.3390/app1122108622076-3417https://doaj.org/article/38900a5c84504c37864976b60a8750ec2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/10862https://doaj.org/toc/2076-3417High-frequency vibration error of a moving radar platform easily introduces a non-negligible phase of periodic modulation in radar echoes and greatly degrades terahertz synthetic aperture radar (THz-SAR) image quality. For solving the problem of THz-SAR image-quality degradation, the paper proposes a multi-component high-frequency vibration error estimation and compensation approach based on the short-time Fourier transform (STFT). To improve the robustness of the method against noise effects, STFT is used to extract the instantaneous frequency (IF) of a high-frequency vibration error signal, and the vibration parameters are coarsely obtained by the least square (LS) method. To reduce the influence of the STFT window widths, a method based on the maximum likelihood function (MLF) is developed for determining the optimal window width by a one-dimensional search of the window widths. In the case of high noise, many IF estimation values seriously deviate from the true ones. To avoid the singular values of IF estimation in the LS regression, the random sample consensus (RANSAC) is introduced to improve estimation accuracy. Then, performing the STFT with the optimal window width, the accurate vibration parameters are estimated by LS regression, where the singular values of IF estimation are excluded. Finally, the vibration error is reconstructed to compensate for the non-negligible phase of the platform-induced periodic modulation. The simulation results prove that the error compensation method can meet THz-SAR imaging requirements, even at a low signal-to-noise ratio (SNR).Yinwei LiQi WuJiawei JiangXia DingQibin ZhengYiming ZhuMDPI AGarticlehigh-frequency vibration errormaximum likelihood function (MLF)short-time Fourier transform (STFT)random sample consensus (RANSAC)terahertz synthetic aperture radar (THz-SAR)TechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10862, p 10862 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	high-frequency vibration error maximum likelihood function (MLF) short-time Fourier transform (STFT) random sample consensus (RANSAC) terahertz synthetic aperture radar (THz-SAR) Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	high-frequency vibration error maximum likelihood function (MLF) short-time Fourier transform (STFT) random sample consensus (RANSAC) terahertz synthetic aperture radar (THz-SAR) Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Yinwei Li Qi Wu Jiawei Jiang Xia Ding Qibin Zheng Yiming Zhu A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform
description	High-frequency vibration error of a moving radar platform easily introduces a non-negligible phase of periodic modulation in radar echoes and greatly degrades terahertz synthetic aperture radar (THz-SAR) image quality. For solving the problem of THz-SAR image-quality degradation, the paper proposes a multi-component high-frequency vibration error estimation and compensation approach based on the short-time Fourier transform (STFT). To improve the robustness of the method against noise effects, STFT is used to extract the instantaneous frequency (IF) of a high-frequency vibration error signal, and the vibration parameters are coarsely obtained by the least square (LS) method. To reduce the influence of the STFT window widths, a method based on the maximum likelihood function (MLF) is developed for determining the optimal window width by a one-dimensional search of the window widths. In the case of high noise, many IF estimation values seriously deviate from the true ones. To avoid the singular values of IF estimation in the LS regression, the random sample consensus (RANSAC) is introduced to improve estimation accuracy. Then, performing the STFT with the optimal window width, the accurate vibration parameters are estimated by LS regression, where the singular values of IF estimation are excluded. Finally, the vibration error is reconstructed to compensate for the non-negligible phase of the platform-induced periodic modulation. The simulation results prove that the error compensation method can meet THz-SAR imaging requirements, even at a low signal-to-noise ratio (SNR).
format	article
author	Yinwei Li Qi Wu Jiawei Jiang Xia Ding Qibin Zheng Yiming Zhu
author_facet	Yinwei Li Qi Wu Jiawei Jiang Xia Ding Qibin Zheng Yiming Zhu
author_sort	Yinwei Li
title	A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform
title_short	A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform
title_full	A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform
title_fullStr	A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform
title_full_unstemmed	A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform
title_sort	high-frequency vibration error compensation method for terahertz sar imaging based on short-time fourier transform
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/38900a5c84504c37864976b60a8750ec
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A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform

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