Convolutions and generalization of logconcavity: Implications and applications

Additive convolution of unimodal and α‐unimodal random variables are known as an old classic problem which has attracted the attention of many authors in theory and applied fields. Another type of convolution, called multiplicative convolution, is rather younger. In this article, we first focus on this newer concept and obtain several useful results in which the most important ones is that if is logconcave then so are and for some suitable increasing functions ?. This result contains and as two more important special cases. Furthermore, one table including more applied distributions comparing logconcavity of f(x) and and two comprehensive implications charts are provided. Then, these fundamental results are applied to aging properties, existence of moments and several kinds of ordered random variables. Multiplicative strong unimodality in the discrete case is also introduced and its properties are investigated. In the second part of the article, some refinements are made for additive convolutions. A remaining open problem is completed and a conjecture concerning convolution of discrete α‐unimodal distributions is settled. Then, we shall show that an existing result regarding convolution of symmetric discrete unimodal distributions is not correct and an easy alternative proof is presented. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 109–123, 2016     

A bivariate optimal replacement policy for a cold standby repairable system with repair priority

In this article, an optimal replacement policy for a cold standby repairable system consisting of two dissimilar components with repair priority is studied. Assume that both Components 1 and 2, after repair, are not as good as new, and the main component (Component 1) has repair priority. Both the sequence of working times and that of the components'repair times are generated by geometric processes. We consider a bivariate replacement policy (T,N) in which the system is replaced when either cumulative working time of Component 1 reaches T, or the number of failures of Component 1 reaches N, whichever occurs first. The problem is to determine the optimal replacement policy (T,N)* such that the long run average loss per unit time (or simply the average loss rate) of the system is minimized. An explicit expression of this rate is derived, and then optimal policy (T,N)* can be numerically determined through a two‐dimensional‐search procedure. A numerical example is given to illustrate the model's applicability and procedure, and to illustrate some properties of the optimal solution. We also show that if replacements are made solely on the basis of the number of failures N, or solely on the basis of the cumulative working time T, the former class of policies performs better than the latter, albeit only under some mild conditions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

机抖激光陀螺抖动控制回路的解耦设计

抖动控制是影响机械抖动激光陀螺性能的重要因素,基于激光陀螺的抖动动力学响应特性,研究了一种抖动控制回路解耦方法,指出相位反馈能实现机抖激光陀螺抖动谐振频率的稳定跟踪。稳定跟踪抖动谐振频率时,如果在抖动位置零点改变驱动信号幅度,则抖幅响应可以简化为一阶惯性系统响应,抖幅控制支路可以从抖动控制回路中解耦为一阶控制回路,实现抖动控制回路的解耦,提高了激光陀螺抖动系统的控制性能。     

JTIDS数据链在部分频带干扰下的性能分析

联合战术信息分发系统(Joint Tactical Information Distribution System,简称JTIDS)采用组合调制体制和多层编码体系保证报文传输的可靠性。分析了JTIDS数据链在莱斯衰落信道环境下的抗干扰性能,并通过仿真分析了该系统在部分频带干扰下的符号误码率和报文丢失率。仿真结果显示,由于JTIDS系统将RS编码、交织等多种编码技术和DS/FFH MSK调制技术相结合,使其在复杂信道环境下保持较低的符号误码率及报文丢失率,满足数据链报文传输可靠性的要求。     

高精度惯测组合标定误差分析

惯性测量组合(IMU)标定误差分析对于惯性导航系统性能评估、误差分配和器件设备选型具有重要意义,但目前关于高精度IMU标定误差的定量讨论很少。借助四元数旋转矢量理论建立了转台轴正交度误差和转角控制误差模型,结合IMU测量误差的表示,定量分析了一种典型多位置标定编排方式下的标定误差。仿真结果和捷联惯性导航系统的试验结果证实了标定误差分析的正确性。     

OFDM系统中基于补零DFT信道插值算法的研究

针对OFDM系统中基于补零DFT实现信道插值的算法,对传统的时域方法和变换域方法进行了分析,并提出了一种新的补零方法。首先通过理论分析指出传统的基于补零DFT实现信道插值算法中,时域方法和变换域方法是等效的;通过对信道插值算法中冲激响应估计序列进行补零的分析,指出补零操作是为了重构出冲激响应的N点采样序列(N表示总子载波数),并针对传统补零方法在一定条件下产生的重构误差,提出了一种新的补零方法。仿真结果表明以上理论分析是正确的,新补零方法可以减小一定条件下的重构误差,增强信道插值算法对信道延迟分布的鲁棒性,有效提高系统的性能。     

基于快速独立分量分析的异步多用户检测方法

深入分析了非理想功率控制下异步CDMA多用户接收机的信号特点,推导出了多小区接收信号模型。提出了基于快速独立分量分析(Fast Independent Component Analysis,FastICA)的异步多用户检测方法,该方法具有抗远近效应,抗多址干扰的能力。仿真结果表明:该算法具有迭代次数少、计算量小、多用户分离效果好的优点,非常适合于非理想功率控制下的多用户检测,该方法大大提高了非理想功率控制下多用户接收机的性能。     

大动态范围星载导航接收机AGC电路性能分析与优化设计

"导航战"条件下要求接收机具有较强的抗干扰性能,射频电路是制约接收机抗干扰性能的瓶颈之一。针对星载导航接收机的特点,同时兼顾弱信号接收与强信号接收的情况,以接收机在整个信号范围内工作时能够抑制的干信比J最大为优化目标,分析了电路允许实现的最大干信比Jmax及射频电路各级增益的求解方法;进而针对纯电阻网络组成的特殊AGC电路,简化了求解方法;给出了该类AGC电路的设计实例,测试结果满足35dB的干信比指标要求。分析方法不仅适用于导航接收机设计,还可推广应用于指导各类接收机的设计。     

多功能复杂信号侦察可配置计算模型

复杂信号侦察处理是多功能数字阵列雷达(MFDAR)的重要组成部分,可以服务于MFDAR的雷达与通信信号侦察以及电子战等多种用途,其中信号侦察的实时性与功能的灵活适应性是MFDAR的关键。在详细研究MFDAR信号侦察处理特点基础上,提出了两阶段可配置的信号处理流程,构建了基于混合结构的宽带信号侦察可配置计算模型BSRRCM。BSRRCM对"非确定、非单向"的信号流进行了描述,利用"固化典型流程、设置有限配置点"的思想,BSRRCM将应用分解成可完全重配置的典型处理流程和可局部重配置的功能任务序列,快速映射到合适的计算平台上,在确保信号处理实时性前提下使系统获得了动态的灵活配置能力与可扩展性。     

基于DSm理论的雷达目标综合识别算法

针对数字多功能雷达的目标识别问题,提出了基于DSm理论的综合识别算法。将不同类型的识别结果置于统一的辨识框架中,并利用经典DSm组合规则进行信息组合,采用冲突按比例重分配规则重新分配组合结果,应用基于广义基本信任分配的决策规则进行判决。仿真结果表明,该方法避免了层次化识别结构带来的信息损失,识别结果中含有更丰富的目标信息。