Analysis of the compensation error of the effect of platform movement on the quality of radar imaging in stripmap mode

Number of pages: 156 File Format: word File Code: 32153
Year: 2011 University Degree: Master's degree Category: Electrical Engineering
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    Master's thesis in the field of electricity-telecommunications

    Abstract

    Analysis of the compensation error of the platform movement effect in the quality of radar imaging in stripmap mode

    SAR is one of The most important branch of science is "remote sensing", which has been the focus of researchers for many years due to its wide applications. In Iran, in recent years, research has been conducted in the field of SAR signal processing algorithms and its different working modes. A major problem in most airborne SAR sensors is to compensate for motion errors caused by atmospheric disturbances. In particular, the main effects produced by platform motion errors in SAR images include geometric and radiometric resolution degradation, directional ambiguity, and geometric and phase distortion. Aircraft deviations from the straight path and constant speed can be calculated by inertial navigation system [1] (INS), global positioning system (GPS) or inertial measurement unit [2] (IMU).

    In this thesis, the concepts of SAR and how it works are first stated. Then the theory of RDA and CSA algorithms and the reasons for these methods are discussed in detail. Then, while explaining the processing steps of each of the algorithms, simulations were performed for a common scenario with a low loci angle and their results were compared.

    The main goal of this thesis is to investigate the platform motion compensation methods using the information obtained from IMU (or INS). These methods have been compared by performing calculations and simulations. 

    Finally, the amount of the acceptable error of the displacement of the platform compared to the ideal movement path has been proposed. Using these values, the characteristics of IMU sensors can be determined in terms of error. 1-1 History of SAR Radar was initially developed for military purposes during World War II. Its primary purpose was to track aircraft and ships under adverse weather conditions and darkness. Radar has experienced steady growth along with advancements in radio frequency (RF) technology, antennas, and recently digital technology [1].

    Early radar systems measured the distance to a target through time delay and the direction of a target through the direction of the antenna. It wasn't long before Doppler shift was used to measure target speed. After that, it was discovered that by processing the Doppler shift, a suitable resolution limit can be obtained in the direction perpendicular to the beam or the direction of the beam. From this latter rule, which is usually attributed to Carl Wiley in 1951, it was discovered that two-dimensional images of targets and the surface of the earth can be formed using radar. This method was called the idea of ??artificial aperture radar (SAR), which actually refers to the idea of ??creating the effect of a very long antenna by analyzing the signal received from a short but moving antenna [2].

    In the 1950s and 1960s, the science of remote sensing was expanded in civilian applications. In this regard, in aerial imaging systems, digital scanners that use several optical frequency bands were installed on airplanes and satellites, which led to the development of the applications of detailed images obtained from large areas of the earth's surface. Military SAR technology entered the realm of civilian applications in the 1970s, and remote sensing researchers found SAR images to be a useful complement to their optical sensors [3].

    Most of the original SAR technology was developed on aircraft. But the first SAR was a satellite that seriously drew the attention of the remote sensing community to this type of sensor [2].

    In 1978, the NASA satellite called "SEASAT" showed the world that high-detail images can be obtained from the Earth's surface. This program caused a lot of technical development in the remote sensing community. For example, work on SAR digital processors and applications such as measuring the length, height, and direction of ocean waves [2] can be mentioned.

    Figure 1-1: SEASAT satellite [4]

    SEASAT in L band, frequency 1.27 GHz, at an altitude of 800 Km.It worked at 27 GHz, at an altitude of 800 km, radiation angle of 23 degrees and bandwidth of 100 km. This satellite was able to obtain images with a resolution of 25 m in range and direction.

    After the SEASAT mission, NASA approved the launch of the SIR series. The program began with the SIR-A test, which was put into orbit in 1981. After that SIR-B and SIR-C were launched in 1984 and 1994 respectively. The European Space Agency (ESA) also participated in the development of SAR technology by launching two C-band sensors named ERS-1 and ERS-2. The first was successfully launched in 1991 and the second in 1995 [5]. In recent years, many remote sensing satellites have been put into orbit.

    1-2- Radar in remote sensing

    The increasing use of SAR in the remote sensing community is due to 3 basic features:

    Radar carries its own illumination. slow, so it works well in the dark.

    Electromagnetic waves at common radar frequencies pass through clouds and fog without distortion.

    Radar energy from different materials is spread in a different way than light energy, so they are a good complement to optical sensors and sometimes they reveal surface properties better than optical sensors.

    An overview of common applications of SAR in remote sensing can be found in [6] as well as many websites. These applications include: agriculture, soil moisture measurement, forestry, geology, hydrology, flood and sea ice observation, oceanography, ship and oil level detection, snow and ice studies, land cover mapping, height mapping and change detection (land settlement, polar ice movement, volcanic activity). Even some subsurface features have been imaged by SAR, as radar signals can penetrate some materials such as sand and dry sand. Additionally, researchers have found applications in bathymetry (sea and ocean floor mapping). ]2[

    1-3- The basis of SAR work

    A SAR system forms an image of the earth's surface from an air-based or space-based platform. It does this by radiating a radar beam almost perpendicular to the sensor's motion vector. SAR sends out phase-coded pulses and records radar echoes as they bounce off the ground. [2]

    To form a two-dimensional image, the intensity of echoes should be measured in two perpendicular directions. One dimension is parallel to the radar beam (x dimension). Because the time delay of the received echo is proportional to the distance (range) to the target. By measuring the time delay, the radar places the echoes at a correct distance from the sensor along the x-axis of the image.

    The second dimension of the image (y dimension) is formed by the movement of the sensor itself. As the sensor moves along a straight line above the Earth's surface, the radar beam sweeps the Earth's surface at roughly the same speed. The radar system sends pulses of electromagnetic energy and processes the echoes received from the sent pulses and places them along the y-axis of the image according to the current position of the sensor. This will produce an image with correct geometric coordinates. The y dimension is called the side (or along-track) dimension. ]2[

    Different modes of SAR work

    A SAR system can be set up in different ways, the difference being sometimes in the type of system and sometimes in the working mode of the system. The most important SAR modes are:

    Stripmap SAR: In this mode, according to Figure 1-2, the direction of the antenna beam is kept constant during the movement of the radar platform. The beam sweeps the Earth's surface at a nearly uniform rate. And a strip of the ground surface is imaged.

    Figure 1-2: Stripmap SAR

    Spotlight SAR: The resolution limit of the stripmap mode can be improved by increasing the size of the radiation angle on the desired surface. This can be done by gradually changing the direction of the beam backwards as the sensor moves across the stage. But the antenna must be re-directed to the front and a part of the surface under imaging is lost. Therefore, only a limited area of ??the earth's surface is imaged at any time.

  • Contents & References of Analysis of the compensation error of the effect of platform movement on the quality of radar imaging in stripmap mode

    List:

    Introduction. 2

    1-1- History of SAR.. 2

    1-2- Radar in remote sensing. 4

    1-3- Basis of SAR work. 4

    1-4- platform movement compensation. 7

    1-4-1- Effect of platform movement on SAR image quality. 9

    1-5- Motion compensation methods. 13

    1-5-1- Compensation using flight path measurement with IMU. 13

    1-5-2- Compensation of the movement path using raw SAR data. 16

    1-6- The beginning of the thesis content chapter. 18

    2- Principles of SAR signal processing. 20

    2-1- Introduction. 20

    2-2- Compression of linear FM signals. 23

    2-2-1- linear FM signals. 23

    2-2-2- pulse compression. 28

    2-3- Concepts of artificial opening. 30

    2-3-1- SAR geometry. 31

    2-3-2- The hyperbolic form of the range equation. 34

    2-3-3- What is the Doppler frequency in SAR? 34

    2-3-4- The concept of synthetic aperture 35

    2-4- Principles of 2-D SAR performance. 36

    2-4-1- Cross Range one-dimensional radar imaging. 36

    2-4-2-sampling. 38

    2-4-3-2-D Imaging. 38

    2-5- Theory of Range Doppler and Chirp Scaling algorithms. 40

    2-5-1- RDA algorithm theory. 41

    2-5-2- CSA algorithm theory. 43

    3- Description of RDA and CSA algorithms. 51

    3-1- Range Doppler Algorithm 51

    3-1-1- Introduction: 51

    3-1-2- An overview of the algorithm. 52

    3-1-3- Radar raw signal (raw data) 54

    3-1-4- Range compression. 55

    3-1-5- Fourier transform of the side. 56

    3-1-6- Correction of range cell displacement. 57

    3-1-7- side compression. 58

    3-1-8- SAR simulation using RDA algorithm. 60

    3-2- Chirp Scaling algorithm. 69

    3-2-1- Introduction. 69

    3-2-2- An overview of the chirp scaling algorithm. 70

    3-2-3- Background of CSA. 71

    3-2-4- CSA processing details. 73

    3-2-5- Simulation for a point target. 77

    4- platform movement compensation. 82

    4-1- Introduction. 82

    4-2- Examining the effect of platform movement in SAR image. 83

    4-3- platform movement compensation. 87

    4-3-1- Theory compensation method. 88

    4-3-2- platform movement compensation in one stage (using approximation) 90

    4-3-3- platform movement compensation in two stages. 92

    4-4- Correcting RDA and CSA algorithms to apply MOCO. 94

    4-4-1- Correction of RDA algorithm. 94

    4-5- Platform movement compensation simulation. 98

    5- Analysis of platform movement compensation error. 114

    5-1- Introduction. 114

    5-2- Hit response in the direction of [33]. 115

    5-3- The response of the shot in the direction of range [33]. 118

    5-4- Classification of phase errors [33]. 119

    5-5- Platform motion compensation requirements [33]. 123

    5-5-1- linear phase errors. 123

    5-5-2- Second order phase errors 124

    5-5-3- High frequency phase errors. 125

    5-5-4- Determining acceptable movement error. 125

    5-5-5- Determining the upper limit of the power spectrum for the residual motion error 125

    5-5-6- Calculation of PSD of acceptable motion error for simulation parameters. 128

    6- Conclusion and suggestions 135

    6-1- Conclusion. 135

    6-2- Suggestions 136

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Analysis of the compensation error of the effect of platform movement on the quality of radar imaging in stripmap mode