Research Progress on Discretization of Linear Canonical Transform

• 作者: Yannan Sun Bingzhao Li Ran Tao
• 来源期刊: 北京理工大学学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 205-216
• 页数: 12页
• 语种: 英文
• DOI: 10.15918/j.jbit1004-0579.2021.036

摘要

Linear canonical transformation (LCT) is a generalization of the Fourier transform and fractional Fourier transform. The recent research has shown that the LCT is widely used in signal processing and applied mathematics, and the discretization of the LCT becomes vital for the applic-ations of LCT. Based on the development of discretization LCT, a review of important research progress and current situation is presented, which can help researchers to further understand the discretization of LCT and can promote its engineering application. Meanwhile, the connection among different discretization algorithms and the future research are given.