43 research outputs found

    Processing of Sliding Spotlight and TOPS SAR Data Using Baseband Azimuth Scaling

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    This paper presents an efficient phase preserving processor for the focusing of data acquired in sliding spotlight and TOPS (Terrain Observation by Progressive Scans) imaging modes. They share in common a linear variation of the Doppler centroid along the azimuth dimension, which is due to a steering of the antenna (either mechanically or electronically) throughout the data take. Existing approaches for the azimuth processing can become inefficient due to the additional processing to overcome the folding in the focused domain. In this paper a new azimuth scaling approach is presented to perform the azimuth processing, whose kernel is exactly the same for sliding spotlight and TOPS modes. The possibility to use the proposed approach to process ScanSAR data, as well as a discussion concerning staring spotlight, are also included. Simulations with point-targets and real data acquired by TerraSAR-X in sliding spotlight and TOPS modes are used to validate the developed algorithm

    ΠŸΡ€ΠΎΡΡ‚ΠΎΠΉ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌ компСнсации ΠΌΠΈΠ³Ρ€Π°Ρ†ΠΈΠΉ свСтящихся Ρ‚ΠΎΡ‡Π΅ΠΊ ΠΏΠΎ Π΄Π°Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ для Ρ€Π΅ΠΆΠΈΠΌΠ° Π±ΠΎΠΊΠΎΠ²ΠΎΠ³ΠΎ ΠΎΠ±Π·ΠΎΡ€Π° РБА (Π°Π½Π³Π».)

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    Introduction.Β  Range Cell Migration (RCM) is a source of image blurring in synthetic aperture radars (SAR). There are two groups of signal processing algorithms used to compensate for migration effects. The first group includes algorithms that recalculate the SAR signal from the "along–track range – slant range" coordinate system into the "along-track rangeΒ  –  cross-track range"Β  coordinates using the method of interpolation. The disadvantage of these algorithms is their considerable computational cost. Algorithms of the second group do not rely on interpolation thus being more attractive in terms of practical application.Aim. To synthesize a simple algorithm for compensating for RCM without using interpolation.Materials and methods. The synthesis was performed using a simplified version of the Chirp Scaling algorithm.Results.Β  A simple algorithm, which presents a modification of the Keystone Transform algorithm, was synthesized. The synthesized algorithm based on Fast Fourier Transforms and the Hadamard matrix products does not require interpolation.Conclusion. A verification of the algorithm quality via mathematical simulation confirmed its high efficiency. Implementation of the algorithm permits the number of computational operations to be reduced. The final radar imageΒ  produced using the proposed algorithm is built in the true Cartesian coordinates. The algorithm can be applied for SAR imaging of moving targets. The conducted analysis showed that the algorithm yields Β theΒ  image of a moving target provided that the coherent processing interval is sufficiently large. The image lies along a line, which angle of inclination is proportional to the projection of the target relative velocity on the line-of-sight. Estimation of the image parameters permits the target movement parameters to be determined.Π’Π²Π΅Π΄Π΅Π½ΠΈΠ΅. ΠœΠΈΠ³Ρ€Π°Ρ†ΠΈΠΈ свСтящихся Ρ‚ΠΎΡ‡Π΅ΠΊ ΠΏΠΎ Π΄Π°Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΡΠ²Π»ΡΡŽΡ‚ΡΡ источником расфокусировки Ρ€Π°Π΄ΠΈΠΎΠ»ΠΎΠΊΠ°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… ΠΈΠ·ΠΎΠ±Ρ€Π°ΠΆΠ΅Π½ΠΈΠΉ Π² Ρ€Π°Π΄ΠΈΠΎΠ»ΠΎΠΊΠ°Ρ‚ΠΎΡ€Π°Ρ… с синтСзированной Π°ΠΏΠ΅Ρ€Ρ‚ΡƒΡ€ΠΎΠΉ (РБА). БущСствуСт Π΄Π²Π΅ Π³Ρ€ΡƒΠΏΠΏΡ‹ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠΎΠ² ΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ сигналов для компСнсации ΠΌΠΈΠ³Ρ€Π°Ρ†ΠΈΠΉ. ΠŸΠ΅Ρ€Π²Π°Ρ Π³Ρ€ΡƒΠΏΠΏΠ° Π²ΠΊΠ»ΡŽΡ‡Π°Π΅Ρ‚ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΡ‹, Π² ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Ρ… Π½Π° основании ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΎΠ² Ρ„ΡƒΠ½ΠΊΡ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎΠΉ интСрполяции осущСствляСтся пСрСсчСт принятых сигналов ΠΈΠ· систСмы ΠΊΠΎΠΎΡ€Π΄ΠΈΠ½Π°Ρ‚ "ΠΏΡ€ΠΎΠ΄ΠΎΠ»ΡŒΠ½Π°Ρ Π΄Π°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ – наклонная Π΄Π°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ"Β  Π² систСму "ΠΏΡ€ΠΎΠ΄ΠΎΠ»ΡŒΠ½Π°Ρ Π΄Π°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ – попСрСчная Π΄Π°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ". НСдостатком Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠΎΠ² Π΄Π°Π½Π½ΠΎΠΉ Π³Ρ€ΡƒΠΏΠΏΡ‹ являСтся ΠΈΡ… высокая Π²Ρ‹Ρ‡ΠΈΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½Π°Ρ ΡΠ»ΠΎΠΆΠ½ΠΎΡΡ‚ΡŒ. Алгоритмы Π²Ρ‚ΠΎΡ€ΠΎΠΉ Π³Ρ€ΡƒΠΏΠΏΡ‹ Π½Π΅ ΠΈΡΠΏΠΎΠ»ΡŒΠ·ΡƒΡŽΡ‚ интСрполяционныС ΠΌΠ΅Ρ‚ΠΎΠ΄Ρ‹ ΠΈ ΡΠ²Π»ΡΡŽΡ‚ΡΡ поэтому Π±ΠΎΠ»Π΅Π΅ ΠΏΡ€ΠΈΠ²Π»Π΅ΠΊΠ°Ρ‚Π΅Π»ΡŒΠ½Ρ‹ΠΌΠΈ для практичСского использования.ЦСль.Β  Π‘ΠΈΠ½Ρ‚Π΅Π·ΠΈΡ€ΠΎΠ²Π°Ρ‚ΡŒ простой Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌ компСнсации ΠΌΠΈΠ³Ρ€Π°Ρ†ΠΈΠΉ Π±Π΅Π· примСнСния Ρ„ΡƒΠ½ΠΊΡ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎΠΉ интСрполяции.ΠœΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»Ρ‹ ΠΈ ΠΌΠ΅Ρ‚ΠΎΠ΄Ρ‹. Π‘ΠΈΠ½Ρ‚Π΅Π· Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ° осущСствлСн Π½Π° основании ΡƒΠΏΡ€ΠΎΡ‰Π΅Π½Π½ΠΎΠΉ вСрсии Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ° Π›Π§Πœ-Ρ„ΠΈΠ»ΡŒΡ‚Ρ€Π°Ρ†ΠΈΠΈ (Chirp Scaling Algorithm).Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹. Π‘ΠΈΠ½Ρ‚Π΅Π·ΠΈΡ€ΠΎΠ²Π°Π½ простой Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌ, ΡΠ²Π»ΡΡŽΡ‰ΠΈΠΉΡΡ ΠΌΠΎΠ΄ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΠ΅ΠΉ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ° "Π·Π°ΠΌΠΊΠΎΠ²ΠΎΠ³ΠΎ камня".Алгоритм основан Π½Π° использовании быстрых ΠΏΡ€Π΅ΠΎΠ±Ρ€Π°Π·ΠΎΠ²Π°Π½ΠΈΠΉ Π€ΡƒΡ€ΡŒΠ΅ ΠΈ поэлСмСнтных ΠΌΠ°Ρ‚Ρ€ΠΈΡ‡Π½Ρ‹Ρ… ΡƒΠΌΠ½ΠΎΠΆΠ΅Π½ΠΈΠΉ. Π’ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ΅ Π½Π΅ ΠΏΡ€ΠΈΠΌΠ΅Π½ΡΡŽΡ‚ΡΡ ΠΌΠ΅Ρ‚ΠΎΠ΄Ρ‹ интСрполяции.Π—Π°ΠΊΠ»ΡŽΡ‡Π΅Π½ΠΈΠ΅. ΠŸΡ€ΠΎΠ²Π΅Ρ€ΠΊΠ° качСства Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ° Π½Π° основС матСматичСского модСлирования ΠΏΠΎΠ΄Ρ‚Π²Π΅Ρ€Π΄ΠΈΠ»Π° Π΅Π³ΠΎ Π²Ρ‹ΡΠΎΠΊΡƒΡŽ ΡΡ„Ρ„Π΅ΠΊΡ‚ΠΈΠ²Π½ΠΎΡΡ‚ΡŒ. ИспользованиС Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ° позволяСт ΡƒΠΌΠ΅Π½ΡŒΡˆΠΈΡ‚ΡŒ количСство Π²Ρ‹Ρ‡ΠΈΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… ΠΎΠΏΠ΅Ρ€Π°Ρ†ΠΈΠΉ.ЀинальноС Ρ€Π°Π΄ΠΈΠΎΠ»ΠΎΠΊΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ΅ ΠΈΠ·ΠΎΠ±Ρ€Π°ΠΆΠ΅Π½ΠΈΠ΅, ΠΏΠΎΠ»ΡƒΡ‡Π°Π΅ΠΌΠΎΠ΅ с ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ°, строится Π²Β  истинной Π΄Π΅ΠΊΠ°Ρ€Ρ‚ΠΎΠ²ΠΎΠΉ систСмС ΠΊΠΎΠΎΡ€Π΄ΠΈΠ½Π°Ρ‚. Алгоритм ΠΌΠΎΠΆΠ΅Ρ‚ Π±Ρ‹Ρ‚ΡŒ ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ для построСния РБА ΠΈΠ·ΠΎΠ±Ρ€Π°ΠΆΠ΅Π½ΠΈΠΉ двиТущихся Ρ†Π΅Π»Π΅ΠΉ. Π”Π°Π½Π½Ρ‹ΠΉ Π² ΡΡ‚Π°Ρ‚ΡŒΠ΅ Π°Π½Π°Π»ΠΈΠ· ΠΏΠΎΠΊΠ°Π·Π°Π», Ρ‡Ρ‚ΠΎ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌ позволяСт ΠΏΠΎΡΡ‚Ρ€ΠΎΠΈΡ‚ΡŒ Ρ…ΠΎΡ€ΠΎΡˆΠΎ сфокусированноС ΠΈΠ·ΠΎΠ±Ρ€Π°ΠΆΠ΅Π½ΠΈΠ΅ двиТущСйся Ρ†Π΅Π»ΠΈ, ΠΊΠΎΠ³Π΄Π° ΠΈΠ½Ρ‚Π΅Ρ€Π²Π°Π» синтСзирования достаточно Π²Π΅Π»ΠΈΠΊ. Π˜Π·ΠΎΠ±Ρ€Π°ΠΆΠ΅Π½ΠΈΠ΅ двиТущСйся Ρ†Π΅Π»ΠΈ выстраиваСтся вдоль ΠΎΡ‚Ρ€Π΅Π·ΠΊΠ° прямой, ΡƒΠ³ΠΎΠ» Π½Π°ΠΊΠ»ΠΎΠ½Π° ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠΉ ΠΏΡ€ΠΎΠΏΠΎΡ€Ρ†ΠΈΠΎΠ½Π°Π»Π΅Π½ ΠΏΡ€ΠΎΠ΅ΠΊΡ†ΠΈΠΈ ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΠΉ скорости Ρ†Π΅Π»ΠΈ Π½Π° линию визирования. ΠžΡ†Π΅Π½ΠΊΠ° ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² изобраТСния позволяСт ΠΎΠΏΡ€Π΅Π΄Π΅Π»ΠΈΡ‚ΡŒ ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€Ρ‹ двиТСния Ρ†Π΅Π»ΠΈ

    Factorized Geometrical Autofocus for Synthetic Aperture Radar Processing

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    Synthetic Aperture Radar (SAR) imagery is a very useful resource for the civilian remote sensing community and for the military. This however presumes that images are focused. There are several possible sources for defocusing effects. For airborne SAR, motion measurement errors is the main cause. A defocused image may be compensated by way of autofocus, estimating and correcting erroneous phase components. Standard autofocus strategies are implemented as a separate stage after the image formation (stand-alone autofocus), neglecting the geometrical aspect. In addition, phase errors are usually assumed to be space invariant and confined to one dimension. The call for relaxed requirements on inertial measurement systems contradicts these criteria, as it may introduce space variant phase errors in two dimensions, i.e. residual space variant Range Cell Migration (RCM). This has motivated the development of a new autofocus approach. The technique, termed the Factorized Geometrical Autofocus (FGA) algorithm, is in principle a Fast Factorized Back-Projection (FFBP) realization with a number of adjustable (geometry) parameters for each factorization step. By altering the aperture in the time domain, it is possible to correct an arbitrary, inaccurate geometry. This in turn indicates that the FGA algorithm has the capacity to compensate for residual space variant RCM. In appended papers the performance of the algorithm is demonstrated for geometrically constrained autofocus problems. Results for simulated and real (Coherent All RAdio BAnd System II (CARABAS II)) Ultra WideBand (UWB) data sets are presented. Resolution and Peak to SideLobe Ratio (PSLR) values for (point/point-like) targets in FGA and reference images are similar within a few percents and tenths of a dB. As an example: the resolution of a trihedral reflector in a reference image and in an FGA image respectively, was measured to approximately 3.36 m/3.44 m in azimuth, and to 2.38 m/2.40 m in slant range; the PSLR was in addition measured to about 6.8 dB/6.6 dB. The advantage of a geometrical autofocus approach is clarified further by comparing the FGA algorithm to a standard strategy, in this case the Phase Gradient Algorithm (PGA)

    A review of synthetic-aperture radar image formation algorithms and implementations: a computational perspective

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    Designing synthetic-aperture radar image formation systems can be challenging due to the numerous options of algorithms and devices that can be used. There are many SAR image formation algorithms, such as backprojection, matched-filter, polar format, Range–Doppler and chirp scaling algorithms. Each algorithm presents its own advantages and disadvantages considering efficiency and image quality; thus, we aim to introduce some of the most common SAR image formation algorithms and compare them based on these two aspects. Depending on the requisites of each individual system and implementation, there are many device options to choose from, for in stance, FPGAs, GPUs, CPUs, many-core CPUs, and microcontrollers. We present a review of the state of the art of SAR imaging systems implementations. We also compare such implementations in terms of power consumption, execution time, and image quality for the different algorithms used.info:eu-repo/semantics/publishedVersio

    Low-cost, high-resolution, drone-borne SAR imaging

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