On the behavior and shape of mixture failure rates from a family of IFR Weibull distributions

Populations of many types of component are heterogeneous and often consist of a small number of different subpopulations. This is called a mixture and it arises in a number of situations. For example, a majority of products in industrial populations are mixtures of defective items with shorter lifetimes and standard items with longer lifetimes. It is a well‐known result that distributions with decreasing failure rates are closed under mixture. However, mixtures of distributions with increasing failure rates are not easily classifiable. If the subpopulations involved in the mixture have increasing failure rates, there might be some upward movement in the mixture and later a general downward pull towards the strongest component. Little work has been done in describing the shape of mixture failure rates when all subpopulations do not have decreasing failure rate. In this paper, we present general results that describe the shape and behavior of a failure rate of a mixture obtained from two Weibull subpopulations with strictly increasing failure rates. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

基于正弦高斯组合的UWB脉冲波形设计

针对美国FCC关于超宽带传输系统提出的辐射掩蔽特性,提出了一种基于正弦高斯组合的UWB脉冲波形设计新方案。以一组正弦高斯脉冲为基函数,利用最小均方误差准则(LSE)选取加权系数对基函数进行线性组合,通过调整基函数的载波频率和脉冲形成因子,对波形进一步优化。分析了TH-PPM UWB多用户系统的误码率性能。仿真结果表明,与高斯二阶微分脉冲、随机系数组合脉冲相比,基于正弦高斯组合脉冲具有更高的频谱利用率,误码性能更优。