矩阵特征值和特征向量在二次型问题中的应用

二次型问题作为矩阵理论的应用一直是教学过程中的重点和难点,其中利用正交变换法将二次型化为标准二次型是学生必须要掌握的核心能力。据此,着重阐述为什么一定要在这一正交变换过程中求二次型对应矩阵的特征值和特征向量,同时展示出特征值和特征向量在二次型问题中的重要研究价值。     

TD-LTE系统中基于奇异值分解的高效波束赋形方法

为了克服TD-LTE系统中传统的基于矩阵信道的迭代波束赋形方法复杂度较大且可能 不收敛的问题,提出一种基于奇异值分解的高效波束赋形方法。该方法利用系统终端侧 仅有2根天线的系统特性,采用基于2×2矩阵特征值分解公式的矩阵信道奇异值分解获得波 束赋形天线加权向量;不仅可以直接获得精确的加权向量,而且相对于传统迭代方法大幅降 低了复杂度。理论分析和仿真结果验证了所提方法的有效性。     

无需信源数目的相干信号快速方位估计

针对空间平滑MUSIC算法会降低阵列孔径且运算量较大的难题,提出了一种新算法。该算 法通过对矩阵最大特征值对应的特征向量进行矢量重排,可实现不损失阵列孔径的解相干处 理。再利用重构矩阵逆的高阶次幂来逼近真实的噪声子空间,可避免特征分解,降低了运算 量且不需信源先验数目。计算机仿真结果证实了算法的有效性。     

快速校正天波雷达电离层相位污染的改进方法

时变的电离层会对天波超视距雷达(OTHR)回波信号相位进行调制,产生相位污染,导致回波谱展宽。最大似然估计(MLE)法具有比相位梯度法更佳的污染校正效果,但计算量非常大。通过引入投影近似子空间跟踪法,提出了一种改进的MLE方法。改进方法采用递归手段估计最大特征值对应的特征向量,避免了特征值分解过程,能够显著降低计算量,污染校正效果与MLE法相当。理论分析与仿真对比表明改进方法普适性强,计算量只有MLE法的万分之一,更适合工程实现。     

阵列误差下的波达方向估计

由于阵列误差的存在会降低波达角的估计精度,重点研究了迭代求解混合范数约束下的稀疏谱以提高估计精度。考虑一维线性阵列,首先建立了统一的优化函数,高精度地估计信号子空间;然后推导了误差矩阵向量化的方法,简化求解耦合误差和幅相误差的过程;最后推导了Khatri-Rao积下的扩展正交导向矢量,根据优化函数迭代求解空间谱估计。对比不同方法估计参数的均方根误差表明,通过设计优化函数迭代求解阵列误差、波达角等参数的精度较之现有方法有一定的提高。     

一种基于压缩感知的信号重建新算法

在求解基追踪问题的线性化Bregman迭代方法基础上,结合了广义逆的迭代技术得到一种稀疏信号重构的新算法。该算法在计算Moore-Penrose广义逆时,采用了迭代计算的方式,与算法本身相结合使得仅有矩阵向量乘积运算,避免了奇异值分解的较大工作量。通过数值试验可知,新算法相对线性化Bregman算法在计算时间上约减少了2/3,同时信号的恢复效果也是稳定有效的。因此,新算法是一种有效可行的信号重建算法。     

基于迭代列消元法的线性分组码参数盲识别

针对线性分组码参数盲识别容错性能差的问题,提出基于迭代列消元法的线性分组码参数盲识别方法。首先对截获矩阵应用迭代列消元法,将其相关列对应各个窗内的转移矩阵中的列向量作为候选校验向量,再根据截获矩阵对偶码空间归一化维数来识别码字长度和同步时刻,最后将对偶码字进行初等行变换识别校验矩阵。仿真结果证明,与以往盲识别方法相比,所提方法容错性能好,适用于各种码率的线性分组码的码字长度、同步时刻和生成多项式识别。     

TD-SCDMA系统中一种快速的下行波束形成技术

利用阵列天线系统接收信号的自相关矩阵的最大特征值所对应的本征向量的信号处理(PSM)思想，提出一种适用于TD—SCDMA系统的快速下行波束形成技术。此方法利用各个用户的扩频码进行目标用户的数据分离，并用迭代的方法代替用户信号的自相关矩阵的特征分解，降低了计算复杂度。计算机仿真验证了该方法的有效性。     

修正的干扰噪声自相关矩阵重构波束形成算法

为改善采样自相关矩阵求逆（SMI）算法中期望信号存在于接收信号所引起的性能下降,提出一种修正干扰噪声自相关矩阵重构（CMR）算法。该算法首先选取采样自相关矩阵特征分解的最小特征值对应的特征向量构造空间分布系数,再对其在非期望信号波达方向上进行累加实现矩阵的重构。当存在相干信号时,可采取先利用特征向量元素对协方差矩阵进行托普利兹化处理实现解相干,再进行矩阵重构的托普利兹矩阵重构（TCMR）算法。计算机仿真与实验结果证明适用于非相干信号条件下的CMR算法与适用于相干信号条件下的TCMR算法具有更好的输出性能。     

自适应扩散算法的误差性能分析

为了分析分布式协作频谱感知认知网络中融合矩阵、步长等参数对自适应扩散算法的影响,对检测量估计误差性能进行了研究。给出了自适应扩散算法检测量的通用迭代公式,分析了检测算法的数据处理流程;推导了检测量估计误差向量的迭代表达式,利用网络瞬时均方偏差性能和各节点的稳态均方偏差性能评价融合矩阵参数对算法的影响。结果表明,不同的融合矩阵选取原则影响算法的检测性能,可以采用检测量误差估计的方法对算法参数进行研究。     

Brown＇s Blossom in Britain-China

The overall strategic relationship between U.K. and China is ＂better than ever＂, China- Britain relations have maintained good momentum, with increased high-level exchanges and the reinforcement of strategic mutual trust, with more room for growth in the future.     

Challenge and Opportunity Go Hand in Hand——What Global Economic Agitation Brings to the China's Economy?

Domino effects of the global finance agitation As the origin of the subprime crisis,US financial institutions lost USS45 billion last year,accounted for over half of the total US,EU & Japan loss.Since January 15th,Chtigroup released its financial statement of the 4th quarter,showing a net deficit of USS9.83 billion,which marked the hisoric high of its quarterly deficit.     

Sinosteel：Extraordinary Moves in Industry Chess

Among the Fortune 500 firms,more and more images from China emerge out.On the 2008 list,Sinosteel Corporation,a landmark group of China industries quietly squeezes into the candidate line.As the largest steel service ＆ trade enterprise,its sales reached at RMB 111.24 billion,with a year-on-year increase of 83.03 percent,and the profit grew by 180.03 percent.On the Sinosteel 2008 Work Meeting,the president Huang Tianwen uttered,＂In the coming year,we will work for US$20 billion sales,and look forward to getting a position in Fortune 500 firms for ourselves.＂     

Walk Through Unusual Five Years—— An Exhibitor＇s Canton Fair Course

When the 103rd Canton Fair is approaching, an old friend of Canton Fair, Li Ying from Jiangsu prov-ince recollected his past five years＇ experiences to the grand trade meeting. Each year is special, with some unforgettable memories colored by the year.     

Jean-Pierre Duprieu： Willing to Be A Legate of Sino-French Business

Estaing, former French president, Valery Giscard d＇Estaing attended Sino-French Economic Seminar held in Shanghai in early April and said that the world center has shifted from the west to the east with many European and US companies entering into Asia, and China has the ability to play an important role in the world stage. Estaing, naming himself＂French Confucian＂, then said in Chinese that a cook-group includes 10 people in ancient Chinese soldier system and the cook is in charge of cooking for them. And people who belong to the same cook are actually ＂Partners＂.     

China''''s Stock Market Wave

The annual meeting of the World Economy Forum was held in Davos,a little town in Switzerland,on January 23rd to the 27th this year,with the theme"the Power fo Collaborative Innovation",over 2500 celebrates from ture political and cconomic circles of more than 80 countries and challengred logether to talk about the future of the global economy in 2008,A Forum for the problems and challenges that face whole world,some of the keywords which drew attention during the event were:the U.S.subprime mortgage crisis,soaring energy prices,the economic slowdown in the U.S.ermerging economic bodies,authority funds and the general unpredictable nature of the global economy.     

Trade Promotion from Neighborhood

If you are considering to trade with companies in Japan or expanding your .business to Japan, we are ready to help from the very beginning.＂ You will find this greeting at the first sight on the Chinese website of Japan External Trade Organization （JETRO）. JETRO has committed itself in delivering highly efficient and quality services to meet the demand of internal and external customs including Japanese companies, hence winning a good reputation in the international trade arena. In recent years, with its priority in advancing business cooperation in South and East Asia, JETRO has made great achievement in promoting trade between China and Japan. Therefore, China＇s Foreign Trade interviewed Mr. Yoichi Maine, Deputy Director General of JETRO BEIJING.     

Auto Parts Market Potential Coming into Surface

Looking at the increasingly fierce competition in the world auto market. global automobile manufacturing industry, taking Europe, the U.S. and Japan as representatives, is gradually forming a new type of relationship, mutual cooperation between whole vehicle and parts manufacturers. We can clearly see that auto parts manufacturers have become independent from the whole vehicle manufacturing companies, which means that the former structure of auto industry has greatly changed, and a new relationship,     

Public Financial Expenditure——A Reflection of the Livelihood Improvement

In recent years.China's public finance put social construction high on the agenda and attaches more importance on livelihood insurance and improvement.The 2003-2007 public financial expenditure reflects a fact that the government isputting more emphasis on livelihood andissues concerning the people.     

Voices from the MPC and CPPCC

"Crucial for economic growth.energy utilization has its role in all economic sectors and every aspect of people's daily life.Now we are in dire need of a new profession,namely energy manager.We not only need to have passion and responsibility,but also a scientific approach to conserve energy and cut emissions.APpropriate legislation should be in place.and a special profession should be introduced to ensure the implementation of these laws and regulations."