插值型求积公式的代数精度

借助于勒让德多项式的零点性质,证明了N阶插值型求积公式的代数精度可取N到2 N+1之间的任意整数值,计算得到了两点插值型求积公式的代数精度与求积节点位置的关系.简化了[1]中关于3次代数精度的条件的讨论.     

Generalized convolution quadrature with variable time stepping. Part II: Algorithm and numerical results

In this paper we address the implementation of the Generalized Convolution Quadrature (gCQ) presented and analyzed by the authors in a previous paper for solving linear parabolic and hyperbolic convolution equations. Our main goal is to overcome the current restriction to uniform time steps of Lubich's Convolution Quadrature (CQ). A major challenge for the efficient realization of the new method is the evaluation of high-order divided differences for the transfer function in a fast and stable way. Our algorithm is based on contour integral representation of the numerical solution and quadrature in the complex plane. As the main application we consider the wave equation in exterior domains, which is formulated as a retarded boundary integral equation. We provide numerical experiments to illustrate the theoretical results.     

Higher-order Newton–Cotes rules with end corrections

We present higher-order quadrature rules with end corrections for general Newton–Cotes quadrature rules. The construction is based on the Euler–Maclaurin formula for the trapezoidal rule. We present examples with 6 well-known Newton–Cotes quadrature rules. We analyze modified end corrected quadrature rules, which consist on a simple modification of the Newton–Cotes quadratures with end corrections. Numerical tests and stability estimates show the superiority of the corrected rules based on the trapezoidal and the midpoint rules.     

Quality of service aware antenna selection scheme for multi-hop relay networks

Multi input multi output (MIMO) based multi-hop relay (MHR) networks has become one of the promising technologies in improving the quality of wireless links. The optimal antenna selection is one of the suitable solutions to overcome the limitations of MIMO scheme. To attain the full benefits of transmitter antenna selection schemes, perfect channel quality information (CQI) is required at the transmitter. The time varying channel and the feedback delay make CQI at the transmitter outdated and also affect the antenna selection process. In this work, we have derived the symbol error probability (SEP) of M-ary quadrature amplitude modulation (QAM) for three different antenna selection schemes by considering the effect of delayed CQI. All these derived expressions are the function of correlation between CQI at the receiver and delayed CQI at the transmitter. The simulation results show that the antenna selection gain decreases with the decrease in correlation. It is also observed that scheme 1 based antenna selection is optimal for different constellations and more suited for MHR network.     

基于数字正交方式实现的一种GMSK调制

从GMSK调制原理出发,分析了GMSK信号的特征,依据正交调制理论,由CPM调制的公式推导出GMSK调制的载波相位和正交I、Q分量运算公式,并提出以DSP、FPGA、DUC为平台的GMSK调制算法实现方案.文中方案成功用于某测试仪项目,根据用户需求选择码元类型、码元速率、BTb值、载波频率等参数实现了GMSK调制信号的产生.     

Pointing error effects on performance of free-space optical communication systems using SC-QAM signals over atmospheric turbulence channels

In this paper, we theoretically analyze pointing error effects on performance of free-space optical (FSO) communication systems using subcarrier intensity quadrature amplitude modulation (SC-QAM) signals over atmospheric turbulence channels. Unlike previous studies, we take into account both atmospheric turbulence channels and the pointing error effect. In order to model atmospheric turbulence channels, we employ a log-normal distribution for weak-to-moderate turbulent condition and a gamma–gamma distribution for strong turbulent condition. Moreover, we study the pointing error effect by taking into account the influence of beamwidth, aperture size and jitter variance. In addition, we use a combination of these models to analyze the combined effect of atmospheric turbulence and pointing error to FSO/SC-QAM systems. Finally, we derive analytical expressions to evaluate the average symbol error rate (ASER) performance of such systems. Numerical results present the impact of pointing error on the performance of FSO/SC-QAM systems and how we use proper values of aperture size and beamwidth to improve the performance of such systems. In addition, simulation results of FSO/SC-QAM performance over strong atmospheric turbulence and pointing errors show that the closed-form expression can provide a precision for evaluating ASER of such systems.     

A product integration method for the approximation of the early exercise boundary in the American option pricing problem

Integral equation methods are now becoming well‐established tools in the study of financial models used in theory and practice. In this paper, we investigate the fully nonlinear weakly singular nonstandard Volterra integral equations representing the early exercise boundary of American option contracts, which gained popularity in recent years. We propose a product integration approach based on linear barycentric rational interpolation to solve the problem. The price of the option will then be computed using the obtained approximation of the early exercise boundary and a barycentric rational quadrature. The convergence of the approximation scheme will also be analyzed. Finally, some numerical experiments based on the introduced method are presented and compared with some exiting approaches.     

一种基于非对称MZI的光偏振复用解调技术研究

提出了一种基于非对称马赫增德干涉仪(MZI)的光偏振复用解调方案,使用VPI transmission Maker搭建了100Gb/s的DQPSK偏振复用传输系统,使用基于非对称MZI的光电探测模块对信号进行解调.仿真结果表明:信号经过背靠背和100km传输后,眼图较好.     

基于超谐波注入锁定的低相噪QVCO的设计

对基于注入锁定的正交压控振荡器(QVCO)电路进行了研究和分析,设计了一个低相位噪声、低相位误差的QVCO电路,该电路由两个电感电容压控振荡器(LC VCO)在正交相位进行超谐波耦合,通过一个频率倍增器在交叉耦合对的共模信号点注入同步信号.通过对相位误差公式的推导,提出了降低相位误差的方法,由于该电路在共模点采用二倍频取样,抑制了尾电流的闪烁噪声,降低了相位噪声.电路基于TSMC 0.18 μm互补金属氧化物半导体(CMOS)工艺实现,测试结果表明,当谐振频率从4.5 GHz调谐到4.9 GHz时,在电源电压为1.8V时,电路消耗功率为13 mW,1 MHz频偏处的单边带(SSB)相位噪声为-129.95 dBc/Hz,与传统的QVCO相比,噪声性能得到了改善.     

基于CMOS工艺的150 GHz正交外差探测器电路设计

传统太赫兹探测器仅能获取信号幅值信息,为此提出一种正交外差混频结构,可同时获得信号的幅值、相位和极化信息,有效提升探测器的灵敏度和信息量。该探测器基于40 nm互补金属氧化物半导体(CMOS)工艺,在传统吉尔伯特双平衡混频结构的开关级与跨导级之间串联电感,输出级联cascode中频放大器,进一步提高探测器响应电压。经过仿真优化,该探测器在 -50 dBm射频功率,0 dBm本振功率条件下,1 GHz中频信号的电压响应度为1 100 kV/W,噪声等效功率为26.8 fW/Hz^1/2,输出波形显示了良好的正交性。同时,设计了一个1∶8层叠式功分器用于分配本振功率,在150 GHz频率处,该功分器的插入损耗约为5 dB,四路差分输出信号的幅值差为0.8~1.2 dB,相位差为0.4°~1.7°。