非对称恶劣信道下自动链路建立协议

自动链路建立(ALE)技术是第三代短波通信(3G)中的一项关键技术,握手过程是自动链路建立技术的一项重要内容。该文分析了3G-ALE异步握手协议在非对称信道下的性能,在此基础上提出了非对称信道下"基于信道先验估计"握手协议,给出了采用此协议的系统建链概率表达式和平均建链时间表达式。在非对称信道下,对采用3G异步握手协议和"基于信道先验估计"握手协议的系统性能进行了仿真比较。结果表明,采用"基于信道先验估计"握手协议可大大提高系统的建链效率。     

Signs, toy models, and the a priori: from Helmholtz to Wittgenstein

The Marburg neo-Kantians argue that Hermann von Helmholtz’s empiricist account of the a priori does not account for certain knowledge, since it is based on a psychological phenomenon, trust in the regularities of nature. They argue that Helmholtz’s account raises the ‘problem of validity’ (Gültigkeitsproblem): how to establish a warranted claim that observed regularities are based on actual relations. I reconstruct Heinrich Hertz’s and Ludwig Wittgenstein’s Bild theoretic answer to the problem of validity: that scientists and philosophers can depict the necessary a priori constraints on states of affairs in a given system, and can establish whether these relations are actual relations in nature. The analysis of necessity within a system is a lasting contribution of the Bild theory. However, Hertz and Wittgenstein argue that the logical and mathematical sentences of a Bild are rules, tools for constructing relations, and the rules themselves are meaningless outside the theory. Carnap revises the argument for validity by attempting to give semantic rules for translation between frameworks. Russell and Quine object that pragmatics better accounts for the role of a priori reasoning in translating between frameworks. The conclusion of the tale, then, is a partial vindication of Helmholtz’s original account.     

概率统计在实际生活中的应用

随着科学的发展,概率统计作为数学的重要部分在生活中随处可见,并且在解决生活问题中发挥着重要的作用。学好概率尤其是能够将学习的概率统计应用于实践中对我们受益匪浅。     

学生成绩评价数学建模

为了解决学生的学习状态的评定问题。采用以学生成绩为基础,概率统计理论为依据,制定了两个综合评价学生成绩模型的方法。研究了学生的学习状况的评价。实践证明这两种方法能够更全面、客观、合理的评价学生的学习状况。该成果对学生的学习状况的评价具有一定的参考价值和指导意义。     

改进的ID3算法构造专升本考试成绩决策树

ID3算法是决策树归纳分类算法的一种.通过对ID3算法的计算复杂度分析,提出了利用统计理论知识和条件概率的思想来改进算法,并把该算法应用于建立学生专升本考试成绩分析决策树中.     

钾离子通道的门控动力学研究

以钾离子单通道门控机理的分析为前提,探索钾离子通道门控动力学马尔科夫过程的模型,并选出相对简单的模型。通过马尔科夫基本方程推导出单通道记录中的开放持续时间和关闭持续时间的概率密度函数。     

A relay selection scheme based on geometric optimum in cooperative cognitive systems over mixed channels

This paper proposes a relay selection scheme based on geometric optimum principle to maximize the cognitive link＇ s connectivity with limited interference to primary user in cooperative cognitive systems. A dual-hop cognitive relay system is considered, in which the channel impulse response follows independent non-identical distribution （i. n. d. ） each hop, such as Rician, Rayleigh and Nakagami-m distribution. Then, closed-form expressions in terms of outage probability and average bit error rate （ABER） are obtained using amplify-and-forward （AF） relaying protocol over such mixed fading channels. Furthermore, the best range of the relay is derived. Extensive simulation re- suits are conducted to verify the theoretical analysis, which is useful to the network optimal design.     

基于概率模型下施惠同恒等式的证明

对较为重要的组合恒等式—施惠同恒等式,本文构造了一个古典概型,用概率方法非常简捷地完成了施惠同恒等式的证明.     

基于进入过程带扰动风险模型的破产概率

在风险市场中,索赔过程是受保单过程驱动的,基于此思想,学者们提出了一类新的基于进入过程的非寿险保险风险模型。在简化上述模型的基础上,考虑了一类带布朗运动干扰的风险保险模型,利用鞅方法给出了该模型破产概率的显式表达式以及它的一个上界估计。     

对潜的吊放声纳应召搜索技术仿真研究

通过建立反潜机的方形、扇形和螺旋线形应召搜索模型,分析讨论了潜艇航速和航向的变化对吊放声纳搜索概率的影响,并进行了仿真比较.结果表明,随着潜艇航速、航向角度的增加,吊放声纳搜索概率不断下降,且航速、航向变化对螺旋线形搜索的搜潜概率影响要小于方形搜索和扇形搜索.同时也表明潜艇以远离当前吊放点为规避航向且全速规避时会明显降低吊放声纳的搜索概率,这对潜艇规避对抗吊放声纳搜索具有实际的指导意义.