Let Q be the quaternion division algebra over real field F.Denote by H_n(Q)the set of all n×n hermitian matrices over Q.We characterize the additive maps from H_n(Q) into H_m(Q)that preserve rank-1 matrices when ...Let Q be the quaternion division algebra over real field F.Denote by H_n(Q)the set of all n×n hermitian matrices over Q.We characterize the additive maps from H_n(Q) into H_m(Q)that preserve rank-1 matrices when the rank of the image of I_n is equal to n. Let Q_R be the quaternion division algebra over the field of real number R.The additive maps from H_n(Q_R) into H_m(Q_R)that preserve rank-1 matrices are also given.展开更多
In this paper, the complexity and performance of the Auxiliary Vector (AV) based reduced-rank filtering are addressed. The AV filters presented in the previous papers have the general form of the sum of the signature ...In this paper, the complexity and performance of the Auxiliary Vector (AV) based reduced-rank filtering are addressed. The AV filters presented in the previous papers have the general form of the sum of the signature vector of the desired signal and a set of weighted AVs,which can be classified as three categories according to the orthogonality of their AVs and the optimality of the weight coefficients of the AVs. The AV filter with orthogonal AVs and optimal weight coefficients has the best performance, but requires considerable computational complexity and suffers from the numerical unstable operation. In order to reduce its computational load while keeping the superior performance, several low complexity algorithms are proposed to efficiently calculate the AVs and their weight coefficients. The diagonal loading technique is also introduced to solve the numerical unstability problem without complexity increase. The performance of the three types of AV filters is also compared through their application to Direct Sequence Code Division Multiple Access (DS-CDM A) systems for interference suppression.展开更多
针对毕达哥拉斯模糊环境下的多指标评价问题,根据决策信息的实际分布,提出一种基于数值分布的毕达哥拉斯模糊数等级划分方法,根据不同等级区间发展度及等级规模确定指标权重和密度权重,结合密度算子的思想,提出基于数值分布的激励型毕...针对毕达哥拉斯模糊环境下的多指标评价问题,根据决策信息的实际分布,提出一种基于数值分布的毕达哥拉斯模糊数等级划分方法,根据不同等级区间发展度及等级规模确定指标权重和密度权重,结合密度算子的思想,提出基于数值分布的激励型毕达哥拉斯模糊密度加权平均算子(incentive Pythagorean fuzzy density weighted average operator,I-PFDWA).将基于I-PFDWA算子的多指标评价方法运用于航空服务评价问题的结果证实了该方法的可行性和有效性.展开更多
文摘Let Q be the quaternion division algebra over real field F.Denote by H_n(Q)the set of all n×n hermitian matrices over Q.We characterize the additive maps from H_n(Q) into H_m(Q)that preserve rank-1 matrices when the rank of the image of I_n is equal to n. Let Q_R be the quaternion division algebra over the field of real number R.The additive maps from H_n(Q_R) into H_m(Q_R)that preserve rank-1 matrices are also given.
文摘In this paper, the complexity and performance of the Auxiliary Vector (AV) based reduced-rank filtering are addressed. The AV filters presented in the previous papers have the general form of the sum of the signature vector of the desired signal and a set of weighted AVs,which can be classified as three categories according to the orthogonality of their AVs and the optimality of the weight coefficients of the AVs. The AV filter with orthogonal AVs and optimal weight coefficients has the best performance, but requires considerable computational complexity and suffers from the numerical unstable operation. In order to reduce its computational load while keeping the superior performance, several low complexity algorithms are proposed to efficiently calculate the AVs and their weight coefficients. The diagonal loading technique is also introduced to solve the numerical unstability problem without complexity increase. The performance of the three types of AV filters is also compared through their application to Direct Sequence Code Division Multiple Access (DS-CDM A) systems for interference suppression.
文摘针对毕达哥拉斯模糊环境下的多指标评价问题,根据决策信息的实际分布,提出一种基于数值分布的毕达哥拉斯模糊数等级划分方法,根据不同等级区间发展度及等级规模确定指标权重和密度权重,结合密度算子的思想,提出基于数值分布的激励型毕达哥拉斯模糊密度加权平均算子(incentive Pythagorean fuzzy density weighted average operator,I-PFDWA).将基于I-PFDWA算子的多指标评价方法运用于航空服务评价问题的结果证实了该方法的可行性和有效性.
