Some geometrical aspects of semidefinite linear complementarity problems

This article studies some geometrical aspects of the semidefinite linear complementarity problem (SDLCP), which can be viewed as a generalization of the well-known linear complementarity problem (LCP). SDLCP is a special case of a complementarity problem over a closed convex cone, where the cone considered is the closed convex cone of positive semidefinite matrices. It arises naturally in the unified formulation of a pair of primal-dual semidefinite programming problems. In this article, we introduce the notion of complementary cones in the semidefinite setting using the faces of the cone of positive semidefinite matrices and show that unlike complementary cones induced by an LCP, semidefinite complementary cones need not be closed. However, under R₀-property of the linear transformation, closedness of all the semidefinite complementary cones induced by L is ensured. We also introduce the notion of a principal subtransformation with respect to a face of the cone of positive semidefinite matrices and show that for a self-adjoint linear transformation, strict copositivity is equivalent to strict semimonotonicity of each principal subtransformation. Besides the above, various other solution properties of SDLCP will be interpreted and studied geometrically.     

A complementary thermodynamic limit for classical Coulomb matter

The canonical equilibrium measure of classical two-component Coulomb matter with regularized interactions is analyzed in a finite volume. It is shown that, in the mean-field regime, the one-particle density is inhomogeneous on a new characteristic length scale _inh. For a system ofN positive andN negative particles, _inh and the characteristic length scale of correlations _corr (=Debye screening length) are related via _inh=(2N)^1/2 _corr. The major conceptual conclusion that is drawn from this is that one needs two nontrivial complementary thermodynamic limits to define the equilibrium thermodynamics of two-component Coulomb systems. One of them is the standard thermodynamic limit (infinite volume), where one takesN, _corr fixed. Its complementary limit is characterized byN, _inh fixed, and is a finite-volume inhomogeneous mean-field limit. The most prominent new feature in the mean-field thermodynamic limit, which is absent in the standard thermodynamic limit, is an anomalous first-order phase transition where the Coulomb system explodes or implodes, respectively. The phase transition is connected with the existence of a metastable plasma phase far below the ionization temperature.     

Chapter 15 DEA/AR analysis of the 1988–1989 performance of the Nanjing textiles corporation

This article employs new data envelopment analysis/assurance region (DEA/AR) methods to evaluate the efficiency of the 35 textile factories of the Nanjing Textiles Corporation (NTC), Nanjing, China. The returns to scale (RTS) of these factories were studied without assuming that the optimal DEA solutions were unique. All DMUs are identified with pointsE (Extreme Efficient),E (Efficient but not an extreme point) andF (Frontier but not efficient). We then further identify the nonfrontier DMUs with pointsNE, NE andNF according to whether they are projected onto a point inE, E, orF en route to evaluating their performances. All of the inefficient factories were in classNF and had unique optimal primal-dual solution pairs. Consequently, the solution pairs satisfy the strong complementary slackness condition (SCSC). Application of cone-ratio (CR) ARs reduced significantly the number of factories in classE, and showed that some AR-efficient factories were more flexible in adopting the mixture of central planning and market economies that China currently is trying to use. Also, linked-cone (LC) ARs were applied to measure maximum and minimum profit ratios. The SCSC multiplier space approach was utilized to analyze the sensitivity of the efficiency results to potential errors in the data with and without ARs. The results in this article suggest that collective units had a better performance than state-owned units in the two consecutive years analyzed.This paper was written while the author was at the School of Economics and Management, Southeast University, Nanjing 210018, P.R. China.     

基于单电子晶体管的数字滤波器硬件实现

基于互补型单电子晶体管（SET）逻辑门，提出了SET加法器、移位寄存器和ROM的单元电路。在讨论数字滤波器硬件实现原理基础上，由这三个单元电路实现了一个二阶IIR滤波器。SET的SPICE宏模型验证了设计的正确性。     

SOI CMOS器件研究

利用0.35μm工艺条件实现了性能优良的小尺寸全耗尽的器件硅绝缘体技术(SOI)互补金属氧化物半导体(FD SOI CMOS)器件,器件制作采用双多晶硅栅工艺、低掺杂浓度源/漏(LDD)结构以及突起的源漏区。这种结构的器件防止漏的击穿,减小短沟道效应(SCE)和漏感应势垒降低效应(DIBL);突起的源漏区增加了源漏区的厚度并减小源漏区的串联电阻,增强了器件的电流驱动能力。设计了101级环形振荡器电路,并对该电路进行测试与分析。根据在3V工作电压下环形振荡器电路的振荡波形图,计算出其单级门延迟时间为45ps,远小于体硅CMOS的单级门延迟时间。     

An error-based micro-sensor capture system for real-time motion estimation

A wearable micro-sensor motion capture system with 16 IMUs and an error-compensatory complementary filter algorithm for real-time motion estimation has been developed to acquire accurate 3D orientation and displacement in real life activities. In the proposed filter algorithm, the gyroscope bias error, orientation error and magnetic disturbance error are estimated and compensated, significantly reducing the orientation estimation error due to sensor noise and drift. Displacement estimation, especially for activities such as jumping, has been the challenge in micro-sensor motion capture. An adaptive gait phase detection algorithm has been developed to accommodate accurate displacement estimation in different types of activities. The performance of this system is benchmarked with respect to the results of VICON optical capture system. The experimental results have demonstrated effectiveness of the system in daily activities tracking, with estimation error 0.16 ±0.06 m for normal walking and 0.13 ±0.11 m for jumping motions.     

基于复合预测误差差值和互补嵌入的可逆数据隐藏

提出一种基于分块复合预测的误差差值和互补嵌入的彩色图像可逆数据隐藏算法。利用色彩分量之间的相关性和预测误差之间的关系减小差值,以增加差值直方图的峰值。采用双重嵌入方法提高嵌入容量,两次嵌入过程中像素值沿相反的方向扩展,部分像素值扩展量相互抵消,在图像分块的基础上选择最佳的预测方式组合,以增加扩展量抵消的机会,从而减小二次嵌入时图像质量的下降幅度。实验结果表明,本文算法在保证图像质量的同时大幅提高嵌入容量,算法的整体性能比其它同类算法更高。     

Synthesis and characterization of polythiophene block copolymer and fullerene derivative capable of “three‐point” complementary hydrogen bonding interactions and their application in bulk‐heterojunction solar cells

We report the synthesis and characterization of a polythiophene block copolymer (P4) selectively functionalized with diaminopyrimidine moieties and a thymine tethered fullerene derivative (F1). Self‐assembly between P4 and F1 through “three‐point” complementary hydrogen bonding is studied by ¹H NMR spectroscopy and differential scanning calorimetry. A large Stern‐Volmer constant (K_SV) of 1.2 × 10⁵ M^?1 is observed from fluorescence quenching experiments, revealing strong complexation between these two components. Solar cells employing P4 and F1 at different weight ratios as active layers are fabricated and tested; corresponding thin film morphologies are studied in detail by optical imaging and atomic force microscopy. Correlations between polymer complex structures, film morphologies, and device performance are discussed. Thermal stability of benchmark poly(3‐hexylthiophene) bulk heterojunction solar cells is found to be improved by the addition of a few weight percent of P4/F1 complexes as compatibilizers. © 2013 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2013 , 51, 3339–3350     

1.8 GHz CMOS有源负载低噪声放大器

提出了一种新的变压器型有源电感负载低噪声放大器设计方案。单片无源大电感的品质因数通常很低,因此,需验证变压器型有源电感替代无源电感负载的有效性,与现有的一些单片无源电感负载低噪声放大器进行了比较,结果表明变压器型有源电感负载低噪声放大器可以得到更低的噪声系数。     

二维寄生电容参数的对偶离散几何法提取

寄生电容参数提取是集成电路领域的关键课题,也是典型的静电场问题之一。通过研究电磁场对偶离散几何法, 探讨在二维非结构化网格离散空间上相应的寄生电容提取算法, 其中重点考察其对偶特性以及能量互补特性。基于该特性,同时采用对偶的两种方法能够有效地消除网格离散带来的误差,比采用单一方法更快地逼近真实解,从而可发展出静电场能量快速算法。并从理论与实例两方面将其与对偶有限元法实施分析对比。离散几何法采用对偶两套网格上的标量电势作为未知量,具有简单的形式与良好的精度,有望成为相关领域的一种主流方法。