特邀临沂大学傅尊伟教授作学术报告

发布者:郭帅发布时间:2020-12-09浏览次数:10

报告题目:Signal Encryption Strategy based on Domain change of the Fractional Fourier Transform

 

报告人:傅尊伟教授

 

主持人:董宝华博士

 

报告时间:20201209日(周三) 14:30-16:00

 

腾讯会议:会议 ID261 764 388;会议密码:202012

 

报告摘要:We provide a double encryption algorithm that uses the lack of invertibility of the fractional Fourier transform (FRFT) on $L^{1}$. One encryption key is a function, which maps a good $L^{2}(\mathbb{R})$ signal to a bad $L^{1}(\mathbb{R})$ signal. The FRFT parameter which describes the rotation associated with this operator on the time-frequency plane provides the other encryption key. With the help of approximate identities, such as of the Abel and Gauss means of the FRFT established in \cite{CFGW}, we recover the encrypted signal on the FRFT domain. This design of an encryption algorithm seems new even when using the classical Fourier transform. This is joint work with Dr. Wei Chen, Prof. L. Grafakos and Dr. Yue Wu.

 

报告人简介:傅尊伟,博士、教授,临沂大学数学与统计学院院长,韩国水原大学博士生导师。山东省“应用数学”重点学科首席专家、山东省“五一”劳动奖章获得者、全省教育先进工作者;香港“求是”研究生奖学金获得者;全国优秀教师; IEEE会员。在《IEEE Trans.》、《Information Sci.》、《J. Differential Equations》、《Appl. Intelligence》和《中国科学》等SCI杂志上发表论文70余篇。主持国家自然科学基金青年项目1项、面上项目3项。获得山东省高校优秀科研成果奖一等奖、山东省高等教育教学成果奖一等奖各1项。曾应邀在英国剑桥大学举行的“第二届世界青年数学家大会”上做45分钟学术报告。

 

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