Sampling Analysis in Weighted Fractional Fourier Transform Domain

摘要：

We propose a new method for analysis of the sampling and reconstruction conditions of signals by use of the weighted fractional Fourier transform (WFRFT). It is shown that the WFRFT domain may provide a novel understanding of sampling process. The proposed sampling theorem generalizes classical Shannon sampling theorem and Fourier series expansion, and provides a full-reconstruction procedure of certain signals that are not band-limited in the traditional Fourier sense. An orthogonal sampling basis for the class of band-limited signals in the sense of WFRFT is also given. Experimental results are proposed to verify the accuracy and effectiveness of the obtained results.

作者: Qi-Wen Ran Hui Zhao Gui-Xia Ge Jing Ma Li-Ying Tan

作者单位: National Key Laboratory of Tunable Laser Technology Harbin Institute of Technology, Harbin, China

会议类型: 国际会议

会议名称: The Second International Joint Conference on Computational Science and Optimization(CSO 2009)(2009 国际计算科学与优化会议)

会议地点: 三亚

会议语种:英文

页码: 878-881

在线出版日期: 2009-04-24（万方平台首次上网日期，不代表论文的发表时间）