The Clutter Simulation of a Known Terrain by the 3D Parabolic Equation and RCS Computation
Abstract
:1. Introduction
2. The Simulation Scheme
2.1. The Radar Echo Model
2.2. The Proposed Simulation Scheme
3. The 3D Parabolic Equation and RCS Computation
3.1. The Parabolic Equation Model
3.2. 3D-SSFT
3.2.1. The Initial Field
3.2.2. Boundary Conditions (BC)
3.2.3. 3D-SSFT
3.3. Computation of RCS Based on the Cell
Algorithm 1: The pseudo-code of our scheme. | |
Input: Radar Parameters, Known Terrain Data Output: the Clutter Map | |
1: | Initialize , the azimuth of beam , , , . |
2: | while |
3: | for do |
4: | ; |
5: | ; |
6: | according to reflection coefficients, is calculated by ; |
7: | ; |
8: | end for where is the nonzero subset of in all space cells |
9: | for do |
10: | ; |
11: | end for |
12: | ; |
13: | as the antenna scans increases; |
14: | end while |
15: | after pulse compression to obtain the clutter map from |
4. Simulation Results and Discussion
4.1. The Influence of Buildings on 3D-SSFT
4.2. Comparisons with Different Sizes of Cell
4.3. Clutter Maps and Simulation Results
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
2D | two-dimensional |
3D | three-dimensional |
RCS | radar cross section |
PE | parabolic equation |
ZMNL | Zero-Memory Non-Linear |
SIRP | Spherically Invariant Random Processes |
SSFT | step-by-step Fourier transform |
BC | Boundary Conditions |
PML | the perfectly matched layer |
FDTD | finite difference time domain method |
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Num | RCS/dBm | Num | RCS/dBm |
---|---|---|---|
1 | −251.27 | 6 | −235.04 |
2 | −247.48 | 7 | −241.65 |
3 | −250.04 | 8 | −246.30 |
4 | −255.91 | 9 | −241.37 |
5 | −252.25 | 10 | −242.60 |
RCS/dBm | A 100 m Cube | 1000 Cubes |
---|---|---|
>−248 | 45 | 45 |
−248~−265 | 108 | 108 |
−265~−282 | 169 | 169 |
−282~−299 | 401 | 401 |
−299~−316 | 364 | 364 |
−316~−333 | 380 | 380 |
−333~−350 | 1960 | 1960 |
−350~−368 | 3800 | 3800 |
−368~−385 | 2140 | 2140 |
<−385 | 529 | 529 |
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Wang, Z.; Ding, J.; Wang, M.; Yang, S. The Clutter Simulation of a Known Terrain by the 3D Parabolic Equation and RCS Computation. Sensors 2022, 22, 7452. https://doi.org/10.3390/s22197452
Wang Z, Ding J, Wang M, Yang S. The Clutter Simulation of a Known Terrain by the 3D Parabolic Equation and RCS Computation. Sensors. 2022; 22(19):7452. https://doi.org/10.3390/s22197452
Chicago/Turabian StyleWang, Zhiyi, Jieru Ding, Min Wang, and Shuyuan Yang. 2022. "The Clutter Simulation of a Known Terrain by the 3D Parabolic Equation and RCS Computation" Sensors 22, no. 19: 7452. https://doi.org/10.3390/s22197452