| 线性正则变换域Wigner-Ville分布的熵不确定性原理 |
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| 引用本文： | 卓智海,钟宁,解延安,徐湛.线性正则变换域Wigner-Ville分布的熵不确定性原理[J].北京理工大学学报,2017,37(9):948-952. |
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| 作者姓名： | 卓智海 钟宁 解延安 徐湛 |
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| 作者单位： | 北京信息科技大学通信学院,北京,100101;中国青年政治学院计算机应用与教学中心,北京,100089;中国航天与系统工程研究院,北京,100048 |
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| 基金项目： | 国家自然科学基金资助项目（61402044）；北京市教委科研计划项目（KM201711232009） |
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| 摘 要： | 针对线性正则变换相关的不确定性原理的研究问题，本文得到线性正则变换域Wigner-Ville分布的熵不确定性原理.根据线性正则变换的性质与特点，得到线性正则变换域的Pitt不等式，根据此不等式进一步得到了线性正则变换域Wigner-Ville分布的熵不确定关系式.所得到结果可以看作是经典熵不确性关系式在线性正则变换域的广义形式，为深入研究线性正则变换的理论及应用奠定良好的基础.
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| 关 键 词： | 不确定性原理 熵不确定性关系 线性正则变换 Wigner-Ville分布 Pitt不等式 |
| 收稿时间： | 2015/11/9 0:00:00 |
Entropic Uncertainty Relations of the Wigner-Ville Distribution in Linear Canonical Transform Domain |
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| ZHUO Zhi-hai,ZHONG Ning,XIE Yan-an and XU Zhan.Entropic Uncertainty Relations of the Wigner-Ville Distribution in Linear Canonical Transform Domain[J].Journal of Beijing Institute of Technology(Natural Science Edition),2017,37(9):948-952. |
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| Authors: | ZHUO Zhi-hai ZHONG Ning XIE Yan-an and XU Zhan |
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| Institution: | 1. School of Information Communication Engineering, Beijing Information Science & Technology University, Beijing 100101, China;2. Computer Science & Apllication Center, China Youth University for Political Sciences, Beijing 100089, China;3. China Aerospace Academy of Systems Science and Engineering, Beijing 100048, China |
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| Abstract: | To investigate the uncertainty principle problems associated with the linear canonical transform, a new kind of entropic uncertainty relation for Wigner-Ville distribution associated with the linear canonical transform domain was derived. Firstly, the Pitt inequality in the linear canonical transform domain was generalized. And then the entropic uncertainty relation for Wigner-Ville distribution associated with the linear canonical transform domain was derived based on the Pitt inequality. The derived results can be taken as the generalization of the classical entropic uncertainty principle in the linear canonical transform domain, and lay the foundation for the theory and application investigation of linear canonical transform. |
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| Keywords: | uncertainty principle entropic uncertainty relations linear canonical transform Wigner-Ville distribution Pitt inequality |
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