信号测不准原理的量子诠释  

Quantum Interpretation of Signal’s Uncertainty Principle

作　　者：王鹏 李建平[1] 

机构地区：[1]电子科技大学计算机科学与工程学院

出　　处：《电子科技大学学报》2008年第1期14-16,42,共4页Journal of University of Electronic Science and Technology of China

基　　金：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)

摘　　要：根据量子力学的测不准原理,采用力学量算符的方法得到了信号在时频分析时的测不准原理,并对该原理进行量子诠释,认为信号在某种意义下可以看作是一个存在波粒二重性的类量子系统,正是由于信号的波粒二重性导致无法同时准确地测定信号的时间和频率。在证明信号测不准原理的同时得到了信号的频率算符,该算符具有广阔的理论应用前景。信号的量子诠释在揭示信号量子本质的同时,为量子力学中的理论框架应用于信号处理提供了理论支持。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 def＇med 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.

关 键 词：信号频率算符 类量子系统 测不准原理 波粒二重性 

分 类 号：TN911.6[电子电信—通信与信息系统]