| 基于盖氏圆方法的宽带信源数目估计 |
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| 引用本文： | 徐以涛,宫兵,刘忠军,李佳.基于盖氏圆方法的宽带信源数目估计[J].解放军理工大学学报,2012,0(1):6-11. |
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| 作者姓名： | 徐以涛 宫兵 刘忠军 李佳 |
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| 作者单位： | 1.解放军理工大学 通信工程学院， 江苏 南京 210007; 2.解放军73853部队， 江苏 南京 210007 |
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| 基金项目： | 国家自然科学基金资助项目（60932002）；国家973计划资助项目（2009CB3020400）. |
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| 摘 要： | 针对低信噪比和小快拍数情况下宽带信号源数目较难精确估计的问题，提出了一种基于盖氏圆方法的宽带信号源数目估计算法(GDECSM)。盖氏圆方法通过利用盖氏半径对矩阵特征值范围的限定关系，能有效区分信号子空间与噪声子空间，在宽带信号源数目估计中能够产生良好的检测效果。仿真实验表明，与基于AIC准则的宽带信源数目估计算法(AICCSM)相比，GDECSM算法在低信噪比和小快拍数时都具有更高的检测概率，运算复杂度也有所降低。
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| 关 键 词： | 盖氏圆 宽带信号 信源数目估计 相干信号子空间算法 波达方向 |
| 收稿时间： | 2010-11-17 |
| 修稿时间： | 2010-11-17． |
XU Yi tao1,GONG Bing1,2,LIU Zhong jun1,LI Jia1 |
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| XU Yi-tao,GONG Bing,LIU Zhong-jun and LI Jia.XU Yi tao1,GONG Bing1,2,LIU Zhong jun1,LI Jia1[J].Journal of PLA University of Science and Technology(Natural Science Edition),2012,0(1):6-11. |
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| Authors: | XU Yi-tao GONG Bing LIU Zhong-jun and LI Jia |
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| Institution: | 1.Institute of Communications Engineering, PLA Univ. of Sci. & Tech.,Nanjing 210007, China；
2.Unit No. 73853 of PLA,Nanjing 210007,China |
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| Abstract: | To solve the problem of exact estimation of wideband sources at low signal noise ratio(SNR) or little snapshot, a new method to determine the number of wideband coherent signals based on Gerschgorin disks was proposed. Gerschgorin disks method could effectively partition the signal subspace and noise subspace using the constraining relation of the Gerschgorin radii to eigenvalue of the matrix, and as a result, a good detection performance could be produced. Simulation results show that the new method improves the probability of detection at low SNR and little snapshot and reduces the computational load compared to the method to determine the number of wideband coherent signals based on Akaike information criterion(AIC). |
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| Keywords: | Gerschgorin disk wideband signal source number estimation CSM(coherent signal subspace method) DOA(direction of arrival) |
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