A non-commutative time-frequency tomography

作     者：LIU JianCai, XU JiaKai, NING XinBao & TIAN Run Key Laboratory of Modern Acoustics, Department of Electronics Science and Engineering Institute of Biological Medical Electronic Engineering, Nanjing University, Nanjing 210093, China 

作者机构：Key Laboratory of Modern Acoustics Department of Electronics Science and Engineering Institute of Biological Medical Electronic Engineering Nanjing University Nanjing 210093 China 

出 版 物：《Chinese Science Bulletin》 (中国科学通报)

年 卷 期：2007年第52卷第17期

页      面：2438-2442页

核心收录：

学科分类：1304[艺术学-美术学] 13[艺术学] 08[工学] 0804[工学-仪器科学与技术] 0802[工学-机械工程] 

基　　金：Supported by the Open Project of the Key Laboratory of Jiangsu Province (Grant No. KJS03078) 

主　　题：非交换时频X线断层摄影术 边缘分布 医学影像学 时频分布 

摘      要：The characterization of non-stationary signal requires joint time and frequency information. However, time and frequency are a pair of non-commuting variables that cannot constitute a joint probability density in the time-frequency plane. The time-frequency distributions have difficult interpretation problems arising from negative and complex values or spurious components. In this paper, we get time-frequency information from the marginal distributions in rotated directions in the time-frequency plane. The rigorous probability interpretation of the marginal distributions is without any ambiguities. This time-frequency transformation is similar to the computerized axial tomography (CT or CAT) and is applied to signal analysis and signal detection and reveals a lot of advantages especially in the signal detection of the low signal/noise (S/N).