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The phased array wave spectrometer is a Ku-band real aperture radar that illuminates the sea surface at small incidence angles to receive sea surface echo power. It extracts three-dimensional sea surface information by removing radar-related factors like EIRP(Effective Isotropically Radiated Power), antenna patterns, and system loss, which can be measured in a microwave anechoic chamber. However, the antenna pattern's precision is limited, leading to the 'concave' anomaly in the backscatter coefficient profile that hinders wave spectrum inversion. To address this, the paper uses particle swarm optimization to correct integral antenna gain. Validation with flight test data shows a 12% improvement in data reliability, supporting operational wave spectrum production.
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相控阵海浪波谱仪是一个Ku波段真实孔径雷达,通过在小入射角下照射海面,接收海面回波功率,并去除雷达EIRP(Effective Isotropically Radiated Power,等效全向辐射功率)、天线方向图、系统损耗等雷达自身的影响因子,获取海面三维信息。这些影响因子可以在微波暗室中测量,其中EIRP、系统损耗可认为是常数量,但是,天线方向图是与入射角、方位角相关的三维变量,测量受到暗室系统精度的限制,并且,相控阵海浪波谱仪最小处理单元是雷达照亮的圆环形条带,照射的过程即是对该环形条带中的变量进行二维积分,成为一个随入射角变化的后向散射系数剖线,因此,天线方向图的微小误差,都会对海面后向散射系数剖线形状产生显著影响,出现 “凹现象”问题。针对该问题,本文基于粒子群算法进行了积分天线增益的校正工作,利用机载飞行试验数据进行了算法验证,通过与同步观测浮标海浪测量结果比对,表明本算法可有效改善“凹现象”,使回波数据有效率提升了12%,为业务化的波浪谱生产提供了技术支撑。
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苗洪利 1964年生,教授,硕士生导师。
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苗洪利 1964年生,教授,硕士生导师。
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曹蕾 1989年生,博士,工程师。
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1.Ocean University of China, Qingdao 266100, China), AuthorCompanyExt(id=1241396558990725212, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, companyId=1241396558957170778, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
1中国海洋大学 青岛 266100)]), AuthorCompany(id=1241396559091388514, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, xref=2., ext=[AuthorCompanyExt(id=1241396559095582819, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, companyId=1241396559091388514, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
2.Beijing Research Institute of Telemetry, Beijing 100076, China), AuthorCompanyExt(id=1241396559099777124, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, companyId=1241396559091388514, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
2北京遥测技术研究所 北京 100076)])], figs=[ArticleFig(id=1241396563143086293, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig. 1, caption=
Working mechanism of phased-array wave spectrometer, figureFileSmall=78yx7G2J+yb4+jLR833eDA==, figureFileBig=B86COqaG5jp3UNd1VPFobg==, tableContent=null), ArticleFig(id=1241396563222778073, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图1, caption=
相控阵海浪波谱仪工作机理, figureFileSmall=78yx7G2J+yb4+jLR833eDA==, figureFileBig=B86COqaG5jp3UNd1VPFobg==, tableContent=null), ArticleFig(id=1241396563340218591, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig. 2, caption=
Empirical measurement of two-dimensional antenna radiation pattern in a darkroom, figureFileSmall=/+muWMA3Y9MdIR8687So9Q==, figureFileBig=XgaFFZfKpKJ1+vJs3Ig7Jg==, tableContent=null), ArticleFig(id=1241396563424104675, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图2, caption=
暗室实测二维天线方向图, figureFileSmall=/+muWMA3Y9MdIR8687So9Q==, figureFileBig=XgaFFZfKpKJ1+vJs3Ig7Jg==, tableContent=null), ArticleFig(id=1241396563507990759, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig. 3, caption=
Strip integration schematic diagram, figureFileSmall=/ZXFaZtCUeqSYsX2j0/mQQ==, figureFileBig=VRnUgLEdT4VUGo/g6eGD3A==, tableContent=null), ArticleFig(id=1241396563612848363, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图3, caption=
条带积分示意图, figureFileSmall=/ZXFaZtCUeqSYsX2j0/mQQ==, figureFileBig=VRnUgLEdT4VUGo/g6eGD3A==, tableContent=null), ArticleFig(id=1241396563705123053, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig. 4, caption=
Trends in theoretical backscatter coefficients from the sea surface, figureFileSmall=OQGP5Ihd30yZzx+VSmzhdQ==, figureFileBig=gWkgORQjC9wcitEJ9DGzsQ==, tableContent=null), ArticleFig(id=1241396563805786351, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图4, caption=
理论海面后向散射系数趋势, figureFileSmall=OQGP5Ihd30yZzx+VSmzhdQ==, figureFileBig=gWkgORQjC9wcitEJ9DGzsQ==, tableContent=null), ArticleFig(id=1241396563877089523, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig. 5, caption=
The antenna integral gain varies with incident angle, figureFileSmall=Fub+76UM7lViVMWFwaf5aQ==, figureFileBig=MhvPzSR+4pBXllqSwBa0Mw==, tableContent=null), ArticleFig(id=1241396563969364214, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图5, caption=
天线积分增益随入射角变化, figureFileSmall=Fub+76UM7lViVMWFwaf5aQ==, figureFileBig=MhvPzSR+4pBXllqSwBa0Mw==, tableContent=null), ArticleFig(id=1241396564061638907, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.6, caption=
The concave-upward issue in scattering coefficients caused by integral gain, figureFileSmall=7KZSFFNx2cyytt0MJaKCzA==, figureFileBig=mxiPEv1qIpMB31kNJ1bzQg==, tableContent=null), ArticleFig(id=1241396564128747771, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图6, caption=
积分增益导致的散射系数上凹问题, figureFileSmall=7KZSFFNx2cyytt0MJaKCzA==, figureFileBig=mxiPEv1qIpMB31kNJ1bzQg==, tableContent=null), ArticleFig(id=1241396564208439552, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.7, caption=
The flight geometry definition, figureFileSmall=aqjELvTw+bOJTjJ1xDeK+Q==, figureFileBig=d7mza1OeN3Q+bplt6vPKMg==, tableContent=null), ArticleFig(id=1241396564283937027, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图7, caption=
机载飞行几何, figureFileSmall=aqjELvTw+bOJTjJ1xDeK+Q==, figureFileBig=d7mza1OeN3Q+bplt6vPKMg==, tableContent=null), ArticleFig(id=1241396564359434501, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig. 8, caption=
Particle swarm optimization algorithm flowchart, figureFileSmall=Ew8TWJWsEGkLRC2ChuMMtg==, figureFileBig=4BdE5ToMusgRaKFrFxKWng==, tableContent=null), ArticleFig(id=1241396564443320585, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图8, caption=
粒子群算法流程图, figureFileSmall=Ew8TWJWsEGkLRC2ChuMMtg==, figureFileBig=4BdE5ToMusgRaKFrFxKWng==, tableContent=null), ArticleFig(id=1241396564510429450, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.9, caption=
Airborne data processing workflow, figureFileSmall=4pvrV8mUigq5XwkHDSM9IA==, figureFileBig=x9o6W0fP6ab1pJn8fa8wcA==, tableContent=null), ArticleFig(id=1241396564569149709, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图9, caption=
机载数据处理流程, figureFileSmall=4pvrV8mUigq5XwkHDSM9IA==, figureFileBig=x9o6W0fP6ab1pJn8fa8wcA==, tableContent=null), ArticleFig(id=1241396564627869968, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.10, caption=
Original echo received power and integral gain, figureFileSmall=NuCqmJi2DySl/2rhJUHa0g==, figureFileBig=WMf/QBTocjNKux0WFpn2dg==, tableContent=null), ArticleFig(id=1241396564694978836, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图10, caption=
原始回波接收功和积分增益, figureFileSmall=NuCqmJi2DySl/2rhJUHa0g==, figureFileBig=WMf/QBTocjNKux0WFpn2dg==, tableContent=null), ArticleFig(id=1241396564770476312, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.11, caption=
Scattering coefficients calculated from original echo and unadjusted integral gain, figureFileSmall=/75sfN9McH3nC6xqg7VLAQ==, figureFileBig=F4z8NqB0v5qVBnp7Xw213A==, tableContent=null), ArticleFig(id=1241396564866945306, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图11, caption=
原始回波和未修正积分增益计算出的散射系数, figureFileSmall=/75sfN9McH3nC6xqg7VLAQ==, figureFileBig=F4z8NqB0v5qVBnp7Xw213A==, tableContent=null), ArticleFig(id=1241396564929859869, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.12, caption=
The impact of different cost function values on calibration results, figureFileSmall=vR8wdHpmAb8yI2rjHs9DPg==, figureFileBig=1qDsQnMAwF/5N55ZmHfCpw==, tableContent=null), ArticleFig(id=1241396564988580129, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图12, caption=
不同代价函数值对校正结果的影响, figureFileSmall=vR8wdHpmAb8yI2rjHs9DPg==, figureFileBig=1qDsQnMAwF/5N55ZmHfCpw==, tableContent=null), ArticleFig(id=1241396565093437733, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.13, caption=
Correction of upright effect in different orientations, figureFileSmall=Ak3eV4+QtWrKMwdtZsqK2A==, figureFileBig=z1nH8Yj8XJmyIexoHpxXcQ==, tableContent=null), ArticleFig(id=1241396565173129512, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图13, caption=
不同方位向上校正效果, figureFileSmall=Ak3eV4+QtWrKMwdtZsqK2A==, figureFileBig=z1nH8Yj8XJmyIexoHpxXcQ==, tableContent=null), ArticleFig(id=1241396565240238378, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.14, caption=
Antenna gain correction in different orientations, figureFileSmall=aECzvZcq0r+isWdmc3CFaQ==, figureFileBig=ZOWt3yWTB4aice6E+sxRcg==, tableContent=null), ArticleFig(id=1241396565324124460, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图14, caption=
不同波位天线增益修正情况, figureFileSmall=aECzvZcq0r+isWdmc3CFaQ==, figureFileBig=ZOWt3yWTB4aice6E+sxRcg==, tableContent=null), ArticleFig(id=1241396565391233326, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.15, caption=
Comparison of wave slope spectrumbefore and after correction, figureFileSmall=5rKpIa+7EnPvfmQSnNTAIg==, figureFileBig=IIjgSPAJDaECi+dcdYCzag==, tableContent=null), ArticleFig(id=1241396566917959984, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图15, caption=
修正前后海浪斜率谱对比, figureFileSmall=5rKpIa+7EnPvfmQSnNTAIg==, figureFileBig=IIjgSPAJDaECi+dcdYCzag==, tableContent=null), ArticleFig(id=1241396567006040370, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Fig.16, caption=
Comparison of modulation spectra before and after correction, figureFileSmall=ofHSvv2QE9+sJgYbhMr4gw==, figureFileBig=vetTV5MaTDPUxWdxi5JMow==, tableContent=null), ArticleFig(id=1241396567085732148, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=图16, caption=
修正前后有效波高、波向与浮标结果对比, figureFileSmall=ofHSvv2QE9+sJgYbhMr4gw==, figureFileBig=vetTV5MaTDPUxWdxi5JMow==, tableContent=null), ArticleFig(id=1241396567140258102, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Table 1, caption=
Spectrometer and buoy measurement results comparison
, figureFileSmall=null, figureFileBig=null, tableContent=
| 每个粒子初始坐标 | xi=(xi,1,xi,2,…,xi,d,…xi,D) |
|---|
| 每个粒子飞行速度 | vi=(vi,1,vi,2,…,vi,d,…,vi,D) |
| 第i个粒子的历史最优坐标 | Pi=(Pi,1,Pi,2,…,Pi,d,…,Pi, D) |
| 每个粒子经历的最优坐标 | Pg=(Pg,1,Pg,2,…,Pg,d,…,Pg,D) |
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粒子群算法主要参数
, figureFileSmall=null, figureFileBig=null, tableContent=
| 每个粒子初始坐标 | xi=(xi,1,xi,2,…,xi,d,…xi,D) |
|---|
| 每个粒子飞行速度 | vi=(vi,1,vi,2,…,vi,d,…,vi,D) |
| 第i个粒子的历史最优坐标 | Pi=(Pi,1,Pi,2,…,Pi,d,…,Pi, D) |
| 每个粒子经历的最优坐标 | Pg=(Pg,1,Pg,2,…,Pg,d,…,Pg,D) |
), ArticleFig(id=1241396567287058746, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=EN, label=Table 2, caption=
Phased Array spectrometer and buoy measurement results comparison
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| 相控阵海浪波谱仪 | 浮标 |
|---|
| 序号 | 时间 | 波长/m | 波向/° | 有效波 高/m | 波长/m | 波向/° | 有效波 高/m |
|---|
| 1 | 19:30 | 29.84 | 232/52 | 0.744 | 29.91 | 240 | 0.74 |
| 2 | 19:45 | 29.12 | 229/49 | 0.751 | 28.76 | 245 | 0.76 |
| 3 | 20:00 | 29.06 | 236/56 | 0.742 | 30.21 | 244 | 0.73 |
| 4 | 21:15 | 29.77 | 237/57 | 0.780 | 31.52 | 248 | 0.80 |
| 5 | 20:30 | 30.02 | 248/68 | 0.746 | 32.13 | 257 | 0.75 |
| 6 | 20:45 | 30.54 | 247/67 | 0.740 | 31.85 | 255 | 0.77 |
| 7 | 21:00 | 30.92 | 245/65 | 0.737 | 32.78 | 260 | 0.75 |
| 8 | 21:15 | 30.88 | 251/71 | 0.812 | 33.50 | 263 | 0.80 |
), ArticleFig(id=1241396567366750524, tenantId=1146029695717560320, journalId=1238841944844054536, articleId=1241381049805107662, language=CN, label=表2, caption=
相控阵海浪波谱仪与浮标测量结果对比
, figureFileSmall=null, figureFileBig=null, tableContent=
| 相控阵海浪波谱仪 | 浮标 |
|---|
| 序号 | 时间 | 波长/m | 波向/° | 有效波 高/m | 波长/m | 波向/° | 有效波 高/m |
|---|
| 1 | 19:30 | 29.84 | 232/52 | 0.744 | 29.91 | 240 | 0.74 |
| 2 | 19:45 | 29.12 | 229/49 | 0.751 | 28.76 | 245 | 0.76 |
| 3 | 20:00 | 29.06 | 236/56 | 0.742 | 30.21 | 244 | 0.73 |
| 4 | 21:15 | 29.77 | 237/57 | 0.780 | 31.52 | 248 | 0.80 |
| 5 | 20:30 | 30.02 | 248/68 | 0.746 | 32.13 | 257 | 0.75 |
| 6 | 20:45 | 30.54 | 247/67 | 0.740 | 31.85 | 255 | 0.77 |
| 7 | 21:00 | 30.92 | 245/65 | 0.737 | 32.78 | 260 | 0.75 |
| 8 | 21:15 | 30.88 | 251/71 | 0.812 | 33.50 | 263 | 0.80 |
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