| 概率性序列运算的扩展及其运算性质 |
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| 引用本文： | 徐玮,康重庆,夏清.概率性序列运算的扩展及其运算性质[J].清华大学学报(自然科学版),2010(1). |
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| 作者姓名： | 徐玮 康重庆 夏清 |
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| 作者单位： | 清华大学电机工程与应用电子技术系电力系统国家重点实验室; |
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| 基金项目： | 国家自然科学基金资助项目(50777031); 新世纪优秀人才支持计划资助(NCET-07-0484) |
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| 摘 要： | 现有序列运算理论的核心是卷和、卷差、交积与并积运算等4个基本运算。当面对连续型随机变量延伸至离散型概率性序列时,为了提高概率性序列运算理论的适用性,该文提出了序乘运算、序除运算及序移运算等新的概率性序列运算形式,用于处理概率性序列之间以及序列与正常数之间的乘、除等关系,并推导出各种基本运算的基本性质,分析了这几种运算的物理意义。算例结果表明了运算性质的正确性。
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| 关 键 词： | 序列运算理论 概率性序列 运算性质 |
Extensions and properties of probabilistic sequence operations |
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| XUWei,KANGChongqing,XIAQing.Extensions and properties of probabilistic sequence operations[J].Journal of Tsinghua University(Science and Technology),2010(1). |
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| Authors: | XUWei KANGChongqing XIAQing |
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| Institution: | XU+Wei,KANG+Chongqing,XIA+Qing+(State+Key+Lab+of+Power+Systems,Department+of+Electrical+Engineering,Tsinghua+University,Beijing+100084,China) |
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| Abstract: | Addition-type convolution,subtraction-type convolution,AND-type products and OR-type products are four basic operations in sequence operation theory.The applicability of probabilistic sequence operation theory was extended by several new basic operations for sequence multiplication,sequence division and sequence shift operations for multiplication and division of sequences,as well as sequences and positive constants with continuous random variables extending to discrete probabilistic sequences.The basic nat... |
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| Keywords: | sequence operation theory probabilistic sequence operation properties |
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