Bistatic Synthetic Aperture Radar Imaging Based on Geostationary Transmitters and Ground-Based Receivers Master Thesis
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Bistatic Synthetic Aperture Radar imaging based on Geostationary Transmitters and Ground-Based Receivers Master Thesis Author: Ricard Pinar Riasol Supervisor: Dr. Antoni Broquetas Ibars March 2017 ABSTRACT This thesis belongs to the remote sensing field, particularly on the Geostationary Synthetic Aperture Radar (SAR) imaging systems with on-ground receiver. These systems forms images taking the signals along the orbital track of one satellite while the receiver is placed on the Earth coherently processing the echoes received by the receiver. The study presented in this thesis is centered in an algorithm known as back projection algorithm that presents the main advantage that is possible to permanently acquire images from the same region thanks to the small motion of the platform with respect to the Earth. An introduction to all the important aspects of the GEOSAR mission is presented in order to let the reader known all the important information of why it is important to study the Synthetic Aperture Radars (SAR) mounted on geostationary satellite platforms. Moreover, an introduction to orbits, coordinates systems and Synthetic Aperture Radar (SAR) is essential in order to understand the algorithm developed in this thesis for obtaining SAR images from a geostationary orbit with the receiver placed on ground. So a detailed explanation of all this topics is developed during this thesis. The main section of this thesis presents the development of a back projection algorithm for a GEOSAR satellite with on ground receiver. Detailed explanations on how each block of the algorithm has been developed and which are the main functionalities of each block are explained and analysed. Finally, a test in order to prove that the algorithm works as expected has been performed in order to see if it is possible to obtain SAR images from a geostationary orbit using this geometry. ACKWONLEDGMENTS: First of all I would like to thank my master thesis advisor, Dr. Antoni Broquetas Ibars who has always helped me with the doubts and have try to clarify many aspects based on Synthetic Aperture Radars and imaging algorithms. CONTENTS 1. GEOSAR Mission:........................................................................................................................................................... 16 1.1. Introduction:.......................................................................................................................................................... 16 1.2. GEOSAR Applications: .......................................................................................................................................... 17 1.3. L-Band and X-Band Radars: ................................................................................................................................ 21 1.4. GEOSAR Mission Limitations:............................................................................................................................. 22 2. Satellite Orbits ............................................................................................................................................................... 24 2.1. History of Orbits.................................................................................................................................................... 24 2.2. Kepler’s Laws:........................................................................................................................................................ 26 2.3. Specifying Orbits:.................................................................................................................................................. 27 2.4. Earth Orbits:........................................................................................................................................................... 29 2.4.1. Low Earth Orbit (LEO): ................................................................................................................................. 29 2.4.2. Medium Earth Orbit (MEO): ....................................................................................................................... 29 2.4.3. Geosynchronous Orbit (GSO):.................................................................................................................... 29 2.4.4. Geostationary Orbit (GEO): ........................................................................................................................ 30 2.4.5. High Earth Orbit (HEO): ............................................................................................................................... 30 2.4.6. Polar Orbit:..................................................................................................................................................... 30 2.4.7. Eccentric/Inclined Orbit: ............................................................................................................................. 30 2.5. Orbital Perturbations:.......................................................................................................................................... 31 3. Synthetic Aperture Radar (SAR)................................................................................................................................. 33 3.1. Geosynchronous SAR acquisition parameters: .............................................................................................. 34 3.1.1. Sphere’s Geometry Basis: ........................................................................................................................... 34 3.1.2. Geosynchronous Satellite Track: ............................................................................................................... 35 3.1.2.1 Longitude History of the Satellite Track: .......................................................................................... 37 3.1.2.2 Latitude History of the satellite track: .............................................................................................. 39 3.1.3. Satellite-targets Slant Range:..................................................................................................................... 40 3.1.4. Satellite Location: elevation and azimuth angles: ................................................................................. 43 3.1.4.1 Elevation angle: ..................................................................................................................................... 43 3.1.4.2 Azimuth angle: ....................................................................................................................................... 45 3.1.5 Target Location: Look and Incidence angles: ........................................................................................... 47 3.1.5.1 Look Angle: ............................................................................................................................................. 47 3.1.5.2 Incidence Angle: .................................................................................................................................... 48 10 3.2 Geosynchronous SAR Coverage:......................................................................................................................... 49 3.3 Bistatic SAR: ............................................................................................................................................................ 52 4. Coordinates Systems: ................................................................................................................................................... 54 4.1. Earth-Centered Earth-Fixed (ECEF): .................................................................................................................. 54 4.2. Earth-Centered Inertial (ECI): ............................................................................................................................. 55 4.3. Universal Transverse Mercator (UTM) Coordinate System: ....................................................................... 57 5. Back Projection Algorithm: ......................................................................................................................................... 60 5.1. System Definition: ................................................................................................................................................ 60 5.2. Back Projection Algorithm Definition: ............................................................................................................. 61 5.3. Back Projection vs Frequency Domain Methods: .......................................................................................... 62 5.4. Description of the Algorithm: ............................................................................................................................ 65 5.4.1. Scene Definition:........................................................................................................................................... 65 5.4.1.1. UTM to LLA: ........................................................................................................................................... 67 5.4.1.2. LLA to ECEF: ........................................................................................................................................... 68 5.4.3. Ranges and Delay Calculation:..................................................................................................................