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It is well-known that the resultant, as a basic concept in algebraic geometry and a powerful tool in elimination theory, gives conditions for an over-determined system of polynomial equations to have ...
提出一种基于RSSI测距的改进DV-Hop定位算法,根据RSSI测距优化节点间的跳数,并使用校正因子修正DV-Hop算法中的平均跳距,最后,采用无约束优化算法代替传统的最小二乘法,计算未知节点的坐标,以减小误差的累计。仿真结果表明:与同类型的算法相比,提出的算法定位误差更小,能够得到更加精确的定位结果。
压缩感知是一种新颖的信号处理理论.它突破了传统香农采样理论对采样的限制,以信号的稀疏性或可压缩性为基础,实现了信号的高效获取和精确重构.然而在现实中,部分稀疏信号还表现出一些其他结构,典型的例子就是一类块稀疏信号,其非零元素以块的形式出现.针对这类信号,本文研究了求解块稀疏压缩感知的迭代重赋权最小二乘算法(IRLS),给出了该算法的理论分析:误差估计和局部收敛性分析.大量试验验证了基于迭代重赋权最...
并行交替采样系统的性能依赖于各通道的精确配合,相对于传统单通道采样系统,其面临更多的系统误差源.未补偿的失配误差将导致采样波形非线性失真、输出信噪比降低以及无伪峰动态范围损失等.本文提出了一种新的并行交替采样系统误差校正方法,在频域利用相邻频率点输出矢量对应信号子空间的旋转关系和正交投影矩阵的唯一性,实现增益误差以及时基误差的精确估计.该方法无需迭代,估计精度较高,对噪声以及偏置误差稳健,并且可以...
We give two examples of periodic Gaussian processes, having en-tropy numbers of exactly same order but radically different small deviations.Our construction is based on classical Knopp’s result yieldi...
We derive computable upper bounds for the difference between an exact solution of the evolutionary convection-diffusion problem and an approximation of this solution.
For modular functions of rapid decay, a classical result connects the error estimate in their long horocycle average asymptotic to the Riemann hy-pothesis.
In using data assimilation to import information from observations to estimate parameters and state variables of a model, one must assume a distribution for the noise in the measure- ments and in th...
In adaptive networks fragmentation transitions have been observed in which the network breaks into disconnected components. We present an analytical approach for calculating the transition point in ...
In problems of estimation and control which involve a network, efficient distributed computation of averages is a key issue.
针对减基法中求解精度受减基空间完备性影响的问题,提出了一种基于向量空间逼近原理的采样方法及相应的误差估计。该方法使每一步采样得到的特征向量与之前已得到的特征向量所张成的向量空间角度最大,从而保证了每步采样所对应的特征向量都具有最弱相关性,进而使最终得到的特征向量基空间更具完备性。并且由该方法产生了一种先验特征值误差界,使得减基法所产生的特征值误差能被控制在预先设定的范围之内。文中算例显示了该方法的...
We study large deviation properties of systems of weakly interacting particles modeled by Itô stochastic differential equations (SDEs).It is known under certain conditions that the corresponding...
We study the small deviation probabilities of a family of very smooth self-similar Gaussian processes. The canonical process from the family has the same scaling properties as standard Brownian motion...
We extend the results of [ZZ] on LDP’s (large deviations principles) for the empirical measures Zs := 1 N X :s()=0  , (N := #{ : s() = 0)} of zeros of Gaussian random polynomials s in one variab...
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continuous problem can be t...

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