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《Journal of University of Electronic Science and Technology of China》 2008-01
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Quantum Interpretation of Signal’s Uncertainty Principle

WANG Peng1,2,LI Jian-ping1(1.School of Computer Science and Engineering,University of Electronic Science and Technology of China Chengdu 610054;2.Department of Software Engineering,Chengdu University of Information Technology Chengdu 610225)  
The uncertainty principle of signal is proved according to the uncertainty principle of quantum mechanics,and is further interpreted by quantum mechanics.The signal can be considered as a kind of the quasi quantum system with wave-particle dualism.Because of the wave-particle dualism of the signal,time and frequency can not be measured at the same time.The frequency operator(FO) of signal is defined in this study,and it can be widely used in signal theory and,especially in wavelet research.The quantum interpretation for the signal explains the essence of the signal and provides the theory support for applying the framework of quantum mechanics to the signal processing.
【Fund】: 国家自然科学基金(60702075);; 中国博士后科学基金(20070410386);; 四川省教育厅重点项目(07ZA014)
【CateGory Index】: O413
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