The problem of approximate joint diagonalization of a set of matrices is instrumental in numerous statistical signal processing applications. This paper describes a relative gradient non-orthogonal approximate joint d...The problem of approximate joint diagonalization of a set of matrices is instrumental in numerous statistical signal processing applications. This paper describes a relative gradient non-orthogonal approximate joint diagonalization （AJD） algorithm based on a non-least squares AJD criterion and a special AJD using a non-square diagonalizing matrix and an AJD method for ill-conditioned matrices. Simulation results demonstrate the better performance of the relative gradient AJD algorithm compared with the conventional least squares （LS） criteria based gradient-type AJD algorithms. The algorithm is attractive for practical applications since it is simple and efficient.展开更多
Numerical characterizations of DNA sequence can facilitate analysis of similar sequences. To visualize and compare different DNA sequences in less space, a novel descriptors extraction approach was proposed for numeri...Numerical characterizations of DNA sequence can facilitate analysis of similar sequences. To visualize and compare different DNA sequences in less space, a novel descriptors extraction approach was proposed for numerical characterizations and similarity analysis of sequences. Initially, a transformation method was introduced to represent each DNA sequence with dinucleotide physicochemical property matrix. Then, based on the approximate joint diagonalization theory, an eigenvalue vector was extracted from each DNA sequence,which could be considered as descriptor of the DNA sequence. Moreover, similarity analyses were performed by calculating the pair-wise distances among the obtained eigenvalue vectors. The results show that the proposed approach can capture more sequence information, and can jointly analyze the information contained in all involved multiple sequences, rather than separately, whose effectiveness was demonstrated intuitively by constructing a dendrogram for the 15 beta-globin gene sequences.展开更多
针对源信号个数未知的欠定混合盲源分离问题,本文提出了一种基于特征矩阵联合近似对角化(Joint Approximate Diagonalization of Eigenmatrices,JADE)和平行因子分解的欠定混合盲辨识算法,该算法不需要源信号满足稀疏性要求,仅在源信号...针对源信号个数未知的欠定混合盲源分离问题,本文提出了一种基于特征矩阵联合近似对角化(Joint Approximate Diagonalization of Eigenmatrices,JADE)和平行因子分解的欠定混合盲辨识算法,该算法不需要源信号满足稀疏性要求,仅在源信号满足相互独立和最多一个高斯信号的条件下,通过将JADE算法中的样本四阶协方差矩阵叠加成三阶张量,再对此三阶张量进行平行因子分解来完成源信号数和混合矩阵的估计,由于平行因子分解的唯一辨识性在欠定条件下仍然满足,该算法能够解决欠定盲源分离问题。并对该欠定混合盲辨识算法进行了深入的分析。通过仿真实验,计算估计矩阵与混合矩阵的平均相关误差,结果表明本文提出的算法在适定和欠定混合时均具有很好的辨识效果,而且实现简单,可满足实际应用的要求。展开更多
为解决测距仪脉冲信号干扰L频段数字航空通信系统1(L-band digital aeronautical communications system 1,L-DACS1)正交频分复用接收机的问题,提出一种基于特征矩阵联合对角化(joint approximate diagonalization of eigen-matrices,JA...为解决测距仪脉冲信号干扰L频段数字航空通信系统1(L-band digital aeronautical communications system 1,L-DACS1)正交频分复用接收机的问题,提出一种基于特征矩阵联合对角化(joint approximate diagonalization of eigen-matrices,JADE)的测距仪脉冲干扰抑制方法。首先将干扰抑制问题转化为盲源分离问题,在接收端建立频域盲分离模型,利用JADE算法将接收到有用信号与测距仪干扰信号分离;然后根据干扰信号的功率特性进行分离后信号的识别;最后通过训练序列解决盲源分离固有的幅度模糊性问题,最终恢复出有用接收信号。仿真结果表明:所提出的基于JADE的干扰抑制方法可有效消除测距仪脉冲信号干扰,改善系统的误比特性能,增加传输可靠性。展开更多
基金Supported by the Basic Research Foundation of Tsinghua National Laboratory for Information Science and Technology (TNList) the National Natural Science Foundation of China (No. 60675002)
文摘The problem of approximate joint diagonalization of a set of matrices is instrumental in numerous statistical signal processing applications. This paper describes a relative gradient non-orthogonal approximate joint diagonalization （AJD） algorithm based on a non-least squares AJD criterion and a special AJD using a non-square diagonalizing matrix and an AJD method for ill-conditioned matrices. Simulation results demonstrate the better performance of the relative gradient AJD algorithm compared with the conventional least squares （LS） criteria based gradient-type AJD algorithms. The algorithm is attractive for practical applications since it is simple and efficient.
基金supported by the Key Project from Education Department of Anhui Province (No.KJ2013A076)the PhD Programs Foundation of Ministry of Education of China (No.20120072110040)+1 种基金the National Natural Science Foundation of China (Nos.61133010,31071168,and 61005010)the China Postdoctoral Science Foundation (No.2012T50582)
文摘Numerical characterizations of DNA sequence can facilitate analysis of similar sequences. To visualize and compare different DNA sequences in less space, a novel descriptors extraction approach was proposed for numerical characterizations and similarity analysis of sequences. Initially, a transformation method was introduced to represent each DNA sequence with dinucleotide physicochemical property matrix. Then, based on the approximate joint diagonalization theory, an eigenvalue vector was extracted from each DNA sequence,which could be considered as descriptor of the DNA sequence. Moreover, similarity analyses were performed by calculating the pair-wise distances among the obtained eigenvalue vectors. The results show that the proposed approach can capture more sequence information, and can jointly analyze the information contained in all involved multiple sequences, rather than separately, whose effectiveness was demonstrated intuitively by constructing a dendrogram for the 15 beta-globin gene sequences.
文摘针对源信号个数未知的欠定混合盲源分离问题,本文提出了一种基于特征矩阵联合近似对角化(Joint Approximate Diagonalization of Eigenmatrices,JADE)和平行因子分解的欠定混合盲辨识算法,该算法不需要源信号满足稀疏性要求,仅在源信号满足相互独立和最多一个高斯信号的条件下,通过将JADE算法中的样本四阶协方差矩阵叠加成三阶张量,再对此三阶张量进行平行因子分解来完成源信号数和混合矩阵的估计,由于平行因子分解的唯一辨识性在欠定条件下仍然满足,该算法能够解决欠定盲源分离问题。并对该欠定混合盲辨识算法进行了深入的分析。通过仿真实验,计算估计矩阵与混合矩阵的平均相关误差,结果表明本文提出的算法在适定和欠定混合时均具有很好的辨识效果,而且实现简单,可满足实际应用的要求。
文摘为解决测距仪脉冲信号干扰L频段数字航空通信系统1(L-band digital aeronautical communications system 1,L-DACS1)正交频分复用接收机的问题,提出一种基于特征矩阵联合对角化(joint approximate diagonalization of eigen-matrices,JADE)的测距仪脉冲干扰抑制方法。首先将干扰抑制问题转化为盲源分离问题,在接收端建立频域盲分离模型,利用JADE算法将接收到有用信号与测距仪干扰信号分离;然后根据干扰信号的功率特性进行分离后信号的识别;最后通过训练序列解决盲源分离固有的幅度模糊性问题,最终恢复出有用接收信号。仿真结果表明:所提出的基于JADE的干扰抑制方法可有效消除测距仪脉冲信号干扰,改善系统的误比特性能,增加传输可靠性。
