摘要
Hilbert变换是信号处理的重要工具之一,具有许多优良性能。对二维Hilbert变换研究工作进行总结,分析传统二维Hilbert变换、分数阶变换域内的二维Hilbert变换、广义分数阶变换域内的二维Hilbert变换等各类二维Hilbert变换的优缺点,同时对与Hilbert变换密切相关的二维Bedrosian定理进行分析,指出现有研究工作中存在的问题和研究方向,以期能为Hilbert变换研究人员提供相关借鉴。
Hilbert transform is one of the useful tool in signal processing, and much effective performance have been found. In this paper, the current work of the bi-dimensional Hilbert transform is reviewed, the advantage and shortage of different kind of bi-dimensional Hilbert transform is analyzed, they are the traditional hi-dimensional Hilbert transform, bi-dimensional Hilbert transform in fractional Fourier transform domains, bi-dimensional Hilbert transform in generalized fractional Fourier transform domains, by the way, bi-Dimensional Bedrosian's Principle is analyzed too. At last, current questions and some useful further study work are proposed, in order to provide the relevant reference for the Hilbert transformation researchers.
作者
徐晓刚
徐冠雷
王孝通
秦绪佳
王建国
易成涛
XU Xiao-gang XU Guan-lei WANG Xiao-tong QIN Xu-jia WANG Jian-guo YI Cheng-tao(Dalian Naval Academy, Dalian Liaoning 116018, China College of Computer Science &Technology, Zhejiang University of Technology, Hangzhou Zhejiang 310023, China)
出处
《通信技术》
2016年第10期1265-1270,共6页
Communications Technology
基金
国家自然科学基金项目(No.60975016
No.61002052
No.61471412
No.61273262)
辽宁省自然科学基金项目(No.2015020086)~~