In this paper, two spectral representations of the multidimensional dyadic stationary series and their correlation functions are given,and the isomorphic space of the value space of the multidimensional dyadic station...In this paper, two spectral representations of the multidimensional dyadic stationary series and their correlation functions are given,and the isomorphic space of the value space of the multidimensional dyadic stationary series is constructed.展开更多
Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with...Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with a realizable (rational) transfer function thanks to the Adamjan, Arov and Krein (AAK) theorem. It is well known that the one dimensional AAK results give the best approximation of a polynomial as a rational function in the Hankel semi norm. We suppose that the Hankel matrix associated to the transfer function has a finite rank.展开更多
为构建一个全面高效的新产品设计配置模型,文章建立了基于多维关联规则的零部件约束数据库。由产品质量特征重要度的计算和待配置零部件集合设计结构矩阵的撕裂操作,来指导产品族物料清单(bill of material,BOM)树上零部件的重要度排序...为构建一个全面高效的新产品设计配置模型,文章建立了基于多维关联规则的零部件约束数据库。由产品质量特征重要度的计算和待配置零部件集合设计结构矩阵的撕裂操作,来指导产品族物料清单(bill of material,BOM)树上零部件的重要度排序;建立映射矩阵将新产品的总体质量特征需求分解为对产品族BOM树上特定零部件的功能技术特征,通过余弦夹角相似计算从零件库中检索出相匹配或近似匹配的候选零部件;按照零部件对新产品的重要度排序,通过多维关联约束驱动和迭代匹配,逐步形成各零部件的总体候选方案;同时确定待改型设计和新设计的零部件,根据综合匹配度计算确定最优匹配方案。最后通过实例说明了该方法的可行性。展开更多
文摘In this paper, two spectral representations of the multidimensional dyadic stationary series and their correlation functions are given,and the isomorphic space of the value space of the multidimensional dyadic stationary series is constructed.
文摘Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with a realizable (rational) transfer function thanks to the Adamjan, Arov and Krein (AAK) theorem. It is well known that the one dimensional AAK results give the best approximation of a polynomial as a rational function in the Hankel semi norm. We suppose that the Hankel matrix associated to the transfer function has a finite rank.
文摘为构建一个全面高效的新产品设计配置模型,文章建立了基于多维关联规则的零部件约束数据库。由产品质量特征重要度的计算和待配置零部件集合设计结构矩阵的撕裂操作,来指导产品族物料清单(bill of material,BOM)树上零部件的重要度排序;建立映射矩阵将新产品的总体质量特征需求分解为对产品族BOM树上特定零部件的功能技术特征,通过余弦夹角相似计算从零件库中检索出相匹配或近似匹配的候选零部件;按照零部件对新产品的重要度排序,通过多维关联约束驱动和迭代匹配,逐步形成各零部件的总体候选方案;同时确定待改型设计和新设计的零部件,根据综合匹配度计算确定最优匹配方案。最后通过实例说明了该方法的可行性。