最小均方误差(Minimum Mean Square Error,MMSE)检测算法是大规模多输入多输出(massive MIMO)系统中能够实现接近最优检测性能的一种算法,但包含对高维矩阵的求逆运算,复杂度较高,因此不适合应用在实际工程中。针对这一问题,文章基于矩...最小均方误差(Minimum Mean Square Error,MMSE)检测算法是大规模多输入多输出(massive MIMO)系统中能够实现接近最优检测性能的一种算法,但包含对高维矩阵的求逆运算,复杂度较高,因此不适合应用在实际工程中。针对这一问题,文章基于矩阵分块思想和理查德森(Richardson,RI)算法,提出了一种预处理的理查德森(Pretreatment-Richardson,P-RI)迭代算法,该算法首先基于矩阵分块思想构造了一种新形式的线性迭代,然后用此线性迭代对理查德森算法进行预处理,有效提升了算法的收敛速度。实验结果显示,与现有的RI算法相比,该算法的检测性能更好。展开更多
In a world of Google and AI, developing an encyclopedic coverage of a theme that is of great interest to biologists, social scientists, politicians and environmental managers, is a daunting challenge. Wattles is a boo...In a world of Google and AI, developing an encyclopedic coverage of a theme that is of great interest to biologists, social scientists, politicians and environmental managers, is a daunting challenge. Wattles is a book that presents new knowledge, makes interesting reading, and has the potential to stimulate research in a variety of disciplines. We learn that Acacia, commonly known as the wattles or acacias, is a genus of shrubs and trees comprising 1,083 species of which 417 are known to have been introduced to areas outside their native range. We are surprised to read that Australian acacias are found almost everywhere, in virtually all terrestrial habitats, including woodlands, grasslands, alpine settings,rainforests, coastal dunes and deserts, causing major environmental and socio-economic changes in the invaded regions. Until recently, Acacia comprised a group of plant species native to Africa, South America and Australasia, but the name is now reserved for species predominantly from Australia, including some from Southeast Asia. The genus name Acacia is Neo-Latin, and refers to a preparation extracted from the leaves and fruit pods of Vachellia nilotica, the original type of the genus.展开更多
Richardson迭代法是求解ℳ张量多线性系统的一种有效方法。为了进一步加快其收敛速度,本文给出一个新的预处理子并提出一种新预处理Richardson迭代法。理论上证明所提预处理Richardson迭代法的收敛性。最后,通过数值例子验证该方法的有...Richardson迭代法是求解ℳ张量多线性系统的一种有效方法。为了进一步加快其收敛速度,本文给出一个新的预处理子并提出一种新预处理Richardson迭代法。理论上证明所提预处理Richardson迭代法的收敛性。最后,通过数值例子验证该方法的有效性和可行性。The Richardson iterative method is an effective method for solving multi-linear systems with ℳ-tensors. In this paper, a new preconditioner and new preconditioned Richardson iterative method are proposed to accelerate the convergence of multi-linear systems with ℳ-tensors. In the theory, the convergence of the preconditioned Richardson iterative method is proved. Finally, a numerical example is given to verify the effectiveness and feasibility of the proposed method.展开更多
文摘最小均方误差(Minimum Mean Square Error,MMSE)检测算法是大规模多输入多输出(massive MIMO)系统中能够实现接近最优检测性能的一种算法,但包含对高维矩阵的求逆运算,复杂度较高,因此不适合应用在实际工程中。针对这一问题,文章基于矩阵分块思想和理查德森(Richardson,RI)算法,提出了一种预处理的理查德森(Pretreatment-Richardson,P-RI)迭代算法,该算法首先基于矩阵分块思想构造了一种新形式的线性迭代,然后用此线性迭代对理查德森算法进行预处理,有效提升了算法的收敛速度。实验结果显示,与现有的RI算法相比,该算法的检测性能更好。
文摘In a world of Google and AI, developing an encyclopedic coverage of a theme that is of great interest to biologists, social scientists, politicians and environmental managers, is a daunting challenge. Wattles is a book that presents new knowledge, makes interesting reading, and has the potential to stimulate research in a variety of disciplines. We learn that Acacia, commonly known as the wattles or acacias, is a genus of shrubs and trees comprising 1,083 species of which 417 are known to have been introduced to areas outside their native range. We are surprised to read that Australian acacias are found almost everywhere, in virtually all terrestrial habitats, including woodlands, grasslands, alpine settings,rainforests, coastal dunes and deserts, causing major environmental and socio-economic changes in the invaded regions. Until recently, Acacia comprised a group of plant species native to Africa, South America and Australasia, but the name is now reserved for species predominantly from Australia, including some from Southeast Asia. The genus name Acacia is Neo-Latin, and refers to a preparation extracted from the leaves and fruit pods of Vachellia nilotica, the original type of the genus.
文摘Richardson迭代法是求解ℳ张量多线性系统的一种有效方法。为了进一步加快其收敛速度,本文给出一个新的预处理子并提出一种新预处理Richardson迭代法。理论上证明所提预处理Richardson迭代法的收敛性。最后,通过数值例子验证该方法的有效性和可行性。The Richardson iterative method is an effective method for solving multi-linear systems with ℳ-tensors. In this paper, a new preconditioner and new preconditioned Richardson iterative method are proposed to accelerate the convergence of multi-linear systems with ℳ-tensors. In the theory, the convergence of the preconditioned Richardson iterative method is proved. Finally, a numerical example is given to verify the effectiveness and feasibility of the proposed method.
