| 摘要: |
| 针对DOA（Direction of Arrival）估计在低信噪比的情况下估计性能下降的问题，
根据阵列协方差矩阵共轭对称的特点，采用基于Givens变换的三对角化分解方法对协方
差矩阵进行三对角化，同时利用盖氏(Gerschgorin)圆递推方法准确估计信号子空间的秩，
然后再对三对角
矩阵进行对角化，估计出噪声子空间，利用噪声子空间与导向矢量正交实现波达方向估计，
改善了低信噪比背景下估计的误差性能和稳健性。计算机仿真证明了算法的有效性
。 |
| 关键词: 阵列信号处理 DOA估计 三对角化分解 Givens变换 子空间
估计 |
| DOI： |
|
| 基金项目:国家自然科学基金资助项目（60971130） |
|
| A DOA estimation algorithm based on matrix tri-diagonal decomposition |
| QIU Xin-jian,SENBAI Dalabaev,XUE Feng-feng |
| () |
| Abstract: |
| The direction of arrival(DOA) estimation performance declines in low signal-to-n
oise ratio(SNR).According to the
array covariance matrix conjugate symmetrical characteristic,tri-diagona
l decomposition based on Givens transformation is adopted to three diagonalize c
ovariance m
atrix, at the same time the cover′s round recursive method is used to estimate
sign
al subspace of rank accurately, and then diagonalize the three diagonal matrix,
estimate the noise subspace,and utilize the orthogonal of noise subspace and wir
e ve
ctor to realize DOA estimation.The estimation error and robu
stness under the low SNR condition are improved.Computer simulation proves the
efficiency of the method. |
| Key words: array signal processing DOA estimation tri-diagonal decomposition Givens transf
ormation subspace estimation |
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