| A non-commutative time-frequency tomography |
| |
| 作者姓名： | LIU JianCai XU JiaKai NING XinBao TIAN Run |
| |
| 作者单位： | Key Laboratory of Modem Acoustics, Department of Electronics Science and Engineering; Institute of Biological Medical ElectronicEngineering, Nanjing University, Nanjing 210093, China |
| |
| 基金项目： | Supported by the 0pen Project of the Key Laboratory of Jiangsu Province （Grant No. KJS03078） |
| |
| 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).
|
| 关 键 词： | 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 |
| 收稿时间： | 13 February 2007 |
| 修稿时间： | 2007-02-13 |
A non-commutative time-frequency tomography |
| |
| LIU JianCai XU JiaKai NING XinBao TIAN Run.A non-commutative time-frequency tomography[J].Chinese Science Bulletin,2007,52(17):2438-2442. |
| |
| Authors: | Liu JianCai Xu JiaKai Ning XinBao Tian Run |
| |
| Institution: | (1) Key Laboratory of Modern Acoustics, Department of Electronics Science and Engineering; Institute of Biological Medical Electronic Engineering, Nanjing University, Nanjing, 210093, China |
| |
| Abstract: | 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). |
| |
| Keywords: | time-frequency non-commuting tomography marginal distribution |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《中国科学通报(英文版)》浏览原始摘要信息 |
| 点击此处可从《中国科学通报(英文版)》下载免费的PDF全文 |
