Synchronous Frequency Hopping Signal Network Station Sorting Based on Underdetermined Blind Source Separation
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摘要:
针对同步跳频(FH)网台分选问题，该文提出一种基于时频域单源点检测的欠定盲源分离(UBSS)分选算法。该算法首先对观测信号时频变换，利用自适应阈值去噪算法消除时频矩阵背景噪声，增加算法抗噪性能，然后根据信号绝对方位差算法进行单源点检测，有效保证单源点的充分稀疏性，并通过改进的模糊值聚类算法完成混合矩阵和2维波达方向估计，降低噪声和样本集分布差异对聚类结果的影响，提高估计精度。最后采用变步长的稀疏自适应子空间追踪(SASP)算法对源信号进行重构恢复。仿真实验表明，该算法在低信噪比(SNR)条件下，跳频信号波达方向估计和恢复精度较高，能够有效完成同步跳频信号的盲分离。
Abstract:Considering the problem of synchronous Frequency Hopping(FH) network station sorting, an Underdetermined Blind Source Separation(UBSS) algorithm based on time-frequency domain single source point detection is proposed. Firstly, the algorithm performs time-frequency transform on the observed signal, and uses adaptive threshold denoising algorithm to eliminate the background noise of the time-frequency matrix. It can increase the algorithm anti-noise performance. Then, single source point detection is performed according to the absolute azimuth difference of the signal. It can effectively ensure the sufficient sparsity of a single source point. The hybrid matrix estimation is completed by the improved fuzzy C value clustering algorithm. It can reduce the influence of noise and sample set distribution differences and improve the estimation accuracy. Finally, the source signal is reconstructed and restored by a variable step size Sparsity Adaptive Subspace Pursuit(SASP) algorithm. The simulation experiments show that the proposed algorithm has higher recovery accuracy of the frequency hopping signal under the condition of low Signal to Noise Ratio (SNR), and can effectively complete the blind separation of the synchronous frequency hopping signal.
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Key words:
- Network sorting /
- Time-frequency transform /
- Single source point detection /
- Mixed matrix
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表 1 各FH信源跳图案和方位参数
FH 跳图案(MHz) 方位/俯仰角(º) ${S_1}$ [1.5，4.5，6.5] 12/14 ${S_2}$ [4.0，2.5，7.0] 31/28 ${S_3}$ [6，5.5，7.5] 57/50 ${S_4}$ [8.0，5.0，3.5] 84/77 
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表 2 不同信噪比下相邻两跳的DOA和RMSE(°)
SNR=5 dB SNR=10 dB SNR=15 dB SNR=20 dB 第1跳FH信号DOA(º) ${S_1}$ 11.9198/15.1615 11.8283/14.4226 11.8012/14.4798 11.5617/13.2689 ${S_2}$ 31.3672/29.2193 31.6120/28.6810 31.1760/28.3617 31.7793/28.2577 ${S_3}$ 58.7108/51.0813 56.8921/50.6896 56.6015/50.6129 57.5726/50.4814 ${S_4}$ 84.6317/75.9538 85.5950/77.8221 85.6958/76.7450 84.7968/76.1847 RMSE 1.4634 1.1478 0.9883 0.9027 第2跳FH信号DOA(º) ${S_1}$ 11.8629/14.1215 12.1792/13.9243 11.4028/14.8058 11.0216/14.8689 ${S_2}$ 30.9463/29.4481 30.7387/27.3832 30.2968/28.6189 30.2267/28.1946 ${S_3}$ 56.7013/49.2631 57.7341/51.1026 56.1284/50.3891 57.3642/50.1739 ${S_4}$ 85.7185/78.5391 85.8328/76.3481 84.9185/77.6965 84.6301/77.2943 RMSE 1.4219 1.2273 1.0153 0.8653
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