A separation algorithm for satellite-based AIS received signals based on SSA and RobustICA

Table 1. AIS signal frame format
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Table 1. AIS signal frame format
信号帧数据
上升沿/ bit 8
训练序列/ bit 24（0101…01）
开始标志/ bit 8（01111110）
数据/ bit 168
帧校验序列/ bit 16
结束标志/ bit 8（01111110）
缓冲位/ bit 24

Table 2. Singular value of matrix decomposition for noisy signal

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Table 2. Singular value of matrix decomposition for noisy signal

变量	奇异值	变量	奇异值
σ₁	27 616.365 1	σ₁₁	1 568.801 6
σ₂	19 855.551 9	σ₁₂	1 561.145 7
σ₃	5 182.854 2	σ₁₃	1 539.208 5
σ₄	2 487.024 2	σ₁₄	1 537.262 5
σ₅	1 659.145 32	σ₁₅	1 503.190 7
σ₆	1 658.603 3	σ₁₆	1 501.148 3
σ₇	1 624.364 8	σ₁₇	1 475.825 1
σ₈	1 614.953 5	σ₁₈	1 471.193 3
σ₉	1 602.127 6	σ₁₉	1 397.357 1
σ₁₀	1 598.716 4	σ₂₀	1 348.039 4

Table 3. Mean squared errors between signals
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Table 3. Mean squared errors between signals
降噪信号信号均方误差
Z₁ Z₂ Z₃ Y₁ Y₂ Y₃
S₁ 0.028 7 3.217 9 3.371 8 0.272 3 3.581 4 3.675 9
S₂ 3.388 4 0.032 5 3.232 2 3.717 3 0.267 1 3.702 5
S₃ 3.421 2 3.357 4 0.030 8 3.837 7 3.802 8 0.284 7

Table 4. Comparison of the number of iterations between two algorithms
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Table 4. Comparison of the number of iterations between two algorithms
实验编号迭代次数
S-RICA S-FICA
1 13 26
2 12 29
3 14 29
4 14 30
5 15 32
6 13 30
7 12 31
8 14 29
9 15 28
10 14 29

Table 5. Comparison of the calculation time for ifferent algorithms

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Table 5. Comparison of the calculation time for ifferent algorithms

实验编号	计算时间/ ms
实验编号	S-RICA	S-FICA	RICA	FICA
1	18.860 1	20.554 1	1.699 9	2.895 3
2	19.289	20.760 5	1.349 2	2.425 7
3	18.658 4	19.938 7	1.260 8	2.497 6
4	18.560 5	20.822 3	1.129 1	2.652 1
5	18.710 8	20.576 5	1.111 8	2.305 8
6	18.603	19.927 5	1.106 4	2.331 2
7	18.100 3	20.670 3	1.021 5	2.209 1
8	18.181 3	20.533 5	1.190 9	2.314 3
9	18.442 2	19.860 8	1.290 3	2.453 8
10	18.069 1	19.990 7	1.159 6	2.560 8

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Jiansen ZHAO, Zhihao TAN, Haiyan DUAN, Xia LIU, Shengzheng WANG. A separation algorithm for satellite-based AIS received signals based on SSA and RobustICA[J]. Chinese Journal of Ship Research, 2024, 19(6): 293

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