On the Relationship Between the Linear Canonical Transform and the Fourier Transform

摘要：

Linear canonical transform (LCT) is a four-parameter (a,b,c,d) class of linear integral transform. It has been the focus of many research papers. In this paper, we show that the linear canonical transform is nothing more than a variation of the standard Fourier transform and, as such, many of its properties, such as its inversion formula, sampling theorems, convolution theorems and Hilbert transform can be deduced from those of the Fourier transform by a simple change of variable. Finally, An example of the application of the LCT is also given.

关键词： linear canonical transform the Fourier transform sampling theorem convolution theorem HUbert transform

作者: Qiang Xiang Kai-Yu Qin

作者单位: College of Automation,University of Electronic Science and Technology of China,Chengdu 610054,P.R.Ch Institute of Astronautics & Aeronautics , University of Electronic Science and Technology of China,C

会议类型: 国际会议

会议名称: 2011 4th International Congress on Image and Signal Processing(第四届图像与信号处理国际学术会议 CISP 2011)

会议地点: 上海

会议语种:英文

页码: 2242-2245

在线出版日期: 2011-10-15（万方平台首次上网日期，不代表论文的发表时间）