| 关于非频带有限随机信号的采样级数的逼近 |
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| 引用本文： | 田昕宇,叶茜. 关于非频带有限随机信号的采样级数的逼近[J]. 太原师范学院学报(自然科学版), 2011, 10(4): 49-51,75 |
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| 作者姓名： | 田昕宇 叶茜 |
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| 作者单位： | 天津大学理学院,天津,300072 |
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| 摘 要： | 香农采样定理可以恢复确定性频带有限信号.而真实信号经常是非频带有限的,这类信号可以被看作边带趋于无穷的频带有限信号.除了确定性型号,平稳的随机信号在许多领域发挥了重要作用.为了解决非频带有限的平稳过程的采样问题,借助香农采样定理,获得当功率在频域衰减时该类信号的采样级数,并求得该级数分别满足均方收敛和以概率1收敛的条件.
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| 关 键 词： | 非频带有限 宽平稳随机过程 采样定理 均方收敛 以概率1收敛 |
Approximation of a Sampling Series on Non-Band-Limited Stochastic Signals |
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| Tian Xinyu Ye Qian. Approximation of a Sampling Series on Non-Band-Limited Stochastic Signals[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2011, 10(4): 49-51,75 |
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| Authors: | Tian Xinyu Ye Qian |
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| Affiliation: | Tian Xinyu Ye Qian(School of Science,Tianjin University,Tianjin 300072,China) |
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| Abstract: | The Shannon sampling theorem can recover a deterministic band-limited signal.However,the non-band-limited signal,which can be considered as a limit of band-limited signal as its sideband tends to positive infinite,is common.In addition,stationary stochastic signals play a key role in many fields.In order to sample the non-band-limited week sense stationary stochastic process,a series is obtained,by expanding the Shannon sampling theorem,and the conditions on which the series converges in mean square and wit... |
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| Keywords: | non-band-limited week sense stationary stochastic processes sampling theorem convergence in mean square convergence with probability one |
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