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Open AccessArticle

Analytical Approximation Model for Quadratic Phase Error Introduced by Orbit Determination Errors in Real-Time Spaceborne SAR Imaging

1
School of Electronic and Information Engineering, Beihang University, 37 Xueyuan Rd., Haidian Dist., Beijing 100191, China
2
Center for Sensor Systems (ZESS), University of Siegen, Paul-Bonatz-Strasse 9-11, 57076 Siegen, Germany
*
Author to whom correspondence should be addressed.
Remote Sens. 2019, 11(14), 1663; https://doi.org/10.3390/rs11141663
Received: 9 June 2019 / Revised: 7 July 2019 / Accepted: 10 July 2019 / Published: 12 July 2019
(This article belongs to the Special Issue Radar and Sonar Imaging and Processing)
Research on real-time spaceborne synthetic aperture radar (SAR) imaging has emerged as satellite computation capability has increased and applications of SAR imaging products have expanded. The orbit determination data of a spaceborne SAR platform are essential for the SAR imaging procedure. In real-time SAR imaging, onboard orbit determination data cannot achieve a level of accuracy that is equivalent to the orbit ephemeris in ground-based SAR processing, which requires a long processing time using common ground-based SAR imaging procedures. It is important to study the influence of errors in onboard real-time orbit determination data on SAR image quality. Instead of the widely used numerical simulation method, an analytical approximation model of the quadratic phase error (QPE) introduced by orbit determination errors is proposed. The proposed model can provide approximation results at two granularities: approximations with a satellite’s true anomaly as the independent variable and approximations for all positions in the satellite’s entire orbit. The proposed analytical approximation model reduces simulation complexity, extent of calculations, and the processing time. In addition, the model reveals the core of the process by which errors are transferred to QPE calculations. A detailed comparison between the proposed method and a numerical simulation method proves the correctness and reliability of the analytical approximation model. With the help of this analytical approximation model, the technical parameter iteration procedure during the early-stage development of an onboard real-time SAR imaging mission will likely be accelerated. View Full-Text
Keywords: quadratic phase error; SAR; approximation; spaceborne real-time SAR imaging; orbit determination error quadratic phase error; SAR; approximation; spaceborne real-time SAR imaging; orbit determination error
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MDPI and ACS Style

Yan, X.; Chen, J.; Nies, H.; Loffeld, O. Analytical Approximation Model for Quadratic Phase Error Introduced by Orbit Determination Errors in Real-Time Spaceborne SAR Imaging. Remote Sens. 2019, 11, 1663.

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