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快速子空间分解方法及其维数的快速估计 被引量:44

A Fast Method for Subspace Decomposition and Its Dimension Estimation
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摘要 提出一种快速子空间分解方法.该方法只需要知道某一期望信号的训练信号就可以实现信号子空间和噪声子空间的快速估计.给出快速确定子空间维数的方法.子空间维数的估计和子空间的快速分解是同时进行的.本文方法只需要多级维纳滤波器的前向递推,不需要估计协方差矩阵和对其作特征值分解,所以运算量可以明显地降低,而估计的性能接近于常规方法.最后,仿真结果验证了方本文法的有效性. A fast method for subspace decomposition is proposed.Given the training sequence s of a desired signal,the signal subspace and noise subspace can be obtained qu i ckly.The dimension of subspace can be correctly estimated while the signal subsp ace and noise subspace are acquired.The presented method does not require the fo rmation of the covariance matrix and its eigendecomposition,thereby reducing th e computational complexity significantly.Finally,numerical results show that the novel approach can achieve the asymptotic performance of the classical method.
出处 《电子学报》 EI CAS CSCD 北大核心 2005年第6期977-981,共5页 Acta Electronica Sinica
基金 国家自然科学基金资助项目(No.60372049) 国防预研项目(No.413070508) 国家自然科学基金资助项目(No.60102005)
关键词 子空间分解 匹配滤波器 降维 多级维纳滤波器 subspace decomposition matched filter rank reduction multistage wiener filter
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参考文献14

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