应用科学学报 ›› 2005, Vol. 23 ›› Issue (1): 20-25.

• 论文 • 上一篇    下一篇

部分极化波瞬态极化投影的统计特性

王雪松1, 邓泳2, 李永祯1, 代大海1   

  1. 1. 国防科技大学电子科学与工程学院, 湖南长沙 410073;
    2. 北京市9702 信箱19 号, 北京 100101
  • 收稿日期:2003-10-02 修回日期:2004-02-07 出版日期:2005-01-31 发布日期:2005-01-31
  • 作者简介:王雪松(1972-),男,内蒙古包头人,教授,博士,E-mail:wxs1019@sina.com
  • 基金资助:
    国家自然科学基金(69902010);全国优秀博士学位论文专项资金(08100101);十五国防预研计划(41303517)资助项目

The Statistical Characteristics of the Instantaneous Polarization Projection of Partially Polarized Waves

WANG Xue-song1, DENG Yong2, LI Yong-zhen1, DAI Da-hai1   

  1. 1. School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China;
    2. Mail Box 9702-19#, Beijing 100101, China
  • Received:2003-10-02 Revised:2004-02-07 Online:2005-01-31 Published:2005-01-31

摘要: 在电磁波瞬态极化理论的基础上,研究了部分极化波的瞬态极化投影的统计特性.提出瞬态极化投影到期望极化轨道的距离的概念,其本质是两个极化信号瞬态极化投影的距离度量.在正态假设下,推出了该距离所服从的概率分布密度解析公式,并证明了当对部分极化波的独立采样数足够多时,该距离近似服从正态分布.

关键词: 概率分布密度函数, 瞬态极化, 部分极化波, 瞬态极化投影

Abstract: The statistical characteristics of the instantaneous polarization projections (IPP) of partially polarized waves are studied on the basis of the theory of instantaneous polarization.A novel concept of the distance between an IPP and an expected polarization track is presented.It is essentially a measure of the distance between two polarization signals' IPPs in the metric space.Under the normal hypothesis, the probability density function (PDF) of this distance is derived.It's also proved that this distance obeys the normal distribution approximately when the number of the samples of a partially polarized wave is large enough. These results are of great importance to polarization signal detection, estimation and filtering.

Key words: partially polarized wave, instantaneous polarization projection, probability density function, instantaneous polarization

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