Sub-Nyquist SAR Based on Pseudo-Random Time-Space Modulation

Sub-Nyquist sampling technology can ease the conflict between high resolution and wide swath in a synthetic aperture radar (SAR) system. However, the existing sub-Nyquist SAR imposes a constraint on the type of the observed scene and can only reconstruct the scene with small sparsity (i.e., number o...

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Main Authors: Wenjiao Chen, Chunsheng Li, Ze Yu, Peng Xiao
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/18/12/4343
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author Wenjiao Chen
Chunsheng Li
Ze Yu
Peng Xiao
author_facet Wenjiao Chen
Chunsheng Li
Ze Yu
Peng Xiao
author_sort Wenjiao Chen
collection DOAJ
description Sub-Nyquist sampling technology can ease the conflict between high resolution and wide swath in a synthetic aperture radar (SAR) system. However, the existing sub-Nyquist SAR imposes a constraint on the type of the observed scene and can only reconstruct the scene with small sparsity (i.e., number of significant coefficients). The information channel model of microwave imaging radar based on information theory, in which scene, echo, and the mapping relation between the two correspond to information source, sink, and channel, is built, and noisy-channel coding theorem explains the reason for the aforementioned under this model. To allow the wider application of sub-Nyquist SAR, this paper proposes sub-Nyquist SAR based on pseudo-random space-time modulation. This modulation is the spatial and temporal phase modulation to the traditional SAR raw data and can increase the mutual information of information source and sink so that the scenes with large sparsity can be reconstructed. Simulations of scenes with different sparsity, e.g., an ocean with several ships and urban scenes, were run to verify the validity of our proposed method, and the results show that the scenes with large sparsity can be successfully reconstructed.
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spelling doaj.art-23adeca797f84dd7a81ff52593c0f0402022-12-22T04:22:17ZengMDPI AGSensors1424-82202018-12-011812434310.3390/s18124343s18124343Sub-Nyquist SAR Based on Pseudo-Random Time-Space ModulationWenjiao Chen0Chunsheng Li1Ze Yu2Peng Xiao3School of Electronics and Information Engineering, Beihang University, Beijing 100083, ChinaSchool of Electronics and Information Engineering, Beihang University, Beijing 100083, ChinaSchool of Electronics and Information Engineering, Beihang University, Beijing 100083, ChinaDepartment of Applied Science and Frontier Technology, Qian Xuesen Laboratory of Space Technology, Beijing 100094, ChinaSub-Nyquist sampling technology can ease the conflict between high resolution and wide swath in a synthetic aperture radar (SAR) system. However, the existing sub-Nyquist SAR imposes a constraint on the type of the observed scene and can only reconstruct the scene with small sparsity (i.e., number of significant coefficients). The information channel model of microwave imaging radar based on information theory, in which scene, echo, and the mapping relation between the two correspond to information source, sink, and channel, is built, and noisy-channel coding theorem explains the reason for the aforementioned under this model. To allow the wider application of sub-Nyquist SAR, this paper proposes sub-Nyquist SAR based on pseudo-random space-time modulation. This modulation is the spatial and temporal phase modulation to the traditional SAR raw data and can increase the mutual information of information source and sink so that the scenes with large sparsity can be reconstructed. Simulations of scenes with different sparsity, e.g., an ocean with several ships and urban scenes, were run to verify the validity of our proposed method, and the results show that the scenes with large sparsity can be successfully reconstructed.https://www.mdpi.com/1424-8220/18/12/4343spaceborne synthetic aperture radar (SAR)sub-Nyquistnoisy-channel coding theoremchannel capacitysparsitypseudo-random space-time modulation
spellingShingle Wenjiao Chen
Chunsheng Li
Ze Yu
Peng Xiao
Sub-Nyquist SAR Based on Pseudo-Random Time-Space Modulation
Sensors
spaceborne synthetic aperture radar (SAR)
sub-Nyquist
noisy-channel coding theorem
channel capacity
sparsity
pseudo-random space-time modulation
title Sub-Nyquist SAR Based on Pseudo-Random Time-Space Modulation
title_full Sub-Nyquist SAR Based on Pseudo-Random Time-Space Modulation
title_fullStr Sub-Nyquist SAR Based on Pseudo-Random Time-Space Modulation
title_full_unstemmed Sub-Nyquist SAR Based on Pseudo-Random Time-Space Modulation
title_short Sub-Nyquist SAR Based on Pseudo-Random Time-Space Modulation
title_sort sub nyquist sar based on pseudo random time space modulation
topic spaceborne synthetic aperture radar (SAR)
sub-Nyquist
noisy-channel coding theorem
channel capacity
sparsity
pseudo-random space-time modulation
url https://www.mdpi.com/1424-8220/18/12/4343
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AT chunshengli subnyquistsarbasedonpseudorandomtimespacemodulation
AT zeyu subnyquistsarbasedonpseudorandomtimespacemodulation
AT pengxiao subnyquistsarbasedonpseudorandomtimespacemodulation