| 广义循环平稳随机过程的定义及其性质 |
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| 引用本文： | 严榴香,李力,汤光华.广义循环平稳随机过程的定义及其性质[J].解放军理工大学学报,2003,4(3):100-102. |
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| 作者姓名： | 严榴香 李力 汤光华 |
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| 作者单位： | 解放军理工大学理学院 江苏南京211101
(严榴香，李力)，解放军理工大学理学院 江苏南京211101(汤光华) |
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| 摘 要： | 循环平稳信号作为一种特殊的非平稳信号，有着广泛的应用前景。首先给出了广义循环平稳随机过程的定义，在此基础上证明了广义循环平稳随机过程的和、差、均方极限、均方导数仍为广义循环平稳随机过程；其次讨论了广义循环平稳过程的均值和自相关函数的周期遍历性，这一性质在处理实际问题时非常有用。
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| 关 键 词： | 广义循环平稳随机过程 均值 自相关函数 周期遍历性 |
| 文章编号： | 1009-3443(2003)03-0100-03 |
| 修稿时间： | 2002年11月5日 |
Definition and Properties of General Cyclostationary Stochastic Process |
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| YAN Liu-xiang,LI Li and TANG Guang-hua.Definition and Properties of General Cyclostationary Stochastic Process[J].Journal of PLA University of Science and Technology(Natural Science Edition),2003,4(3):100-102. |
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| Authors: | YAN Liu-xiang LI Li and TANG Guang-hua |
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| Institution: | Institute of Sciences, PLA Univ. of Sci. & Tech., Nanjing 211101, China;Institute of Sciences, PLA Univ. of Sci. & Tech., Nanjing 211101, China;Institute of Sciences, PLA Univ. of Sci. & Tech., Nanjing 211101, China |
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| Abstract: | Cyclostationary signal as a special nonstationary signal will be widely used with good propects. In this paper, firstly the definition of general cyclostationary stochastic process is presented. Based on the definition, the properties of plus, minus, the mean limiting and the mean derivation of general cyclostationary are proved; secondly the period ergodicity of mean and auto-correction function is discussed. |
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| Keywords: | general cyclostationary stochastic process mean auto-correction function period ergodicity |
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