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Linear Processing for Vector-Valued Signals with Vector-Valued Coefficients

作者:发布时间:23-06-12 19:11:36来源: 浏览次数:

报告人 夏香根 教授 时间 6月12日10:00
地点 北校区主楼II区-219 报告时间 2023-06-12 10:00:00

讲座名称 : Linear Processing for Vector-Valued Signals with Vector-Valued Coefficients
讲座人 : 夏香根 教授
讲座时间: 6月12日10:00
地点: 北校区主楼II区-219
讲座人介绍
夏香根教授现为美国特拉华大学电气与计算机工程系Charles Black Evans 冠名教授,IEEE Fellow。夏教授1997年获美国国家科学基金会青年教授杰出科研基金奖(CAREER Award);1998年获美国海军研究署青年科学家奖MIP Award);2001年获得美国特拉华大学工程院杰出青年教授奖。2009-2012任清华大学电子系无线通信Kumar讲座教授团教授 ,2009-2013任韩国World Class University ( WCU) 讲座教授担任过多个EEE会刊及国际期T的编委会成员,lEEE Wireless Communications Letters, lEEE Transactions on Siqnal Processing ,IEEETransactions on Wireless Communications , lEEE Transactions on Mobile Computing, IEEE Transactions on Vehicular Technology ,EEE Signal Processing Letters, Signal Processing (EURASIP) , EURASIP Journal of Applied Signal Processing , Journal ofCommunications and Networks (JCN), Science China (nformation Sciences), Signal Processing (China)等

讲座内容 :
n this talk, we first introduce arithmetics (+, -, x, =) for real vectors of any fixed dimension, which are similar to those for realnumbers. lt can be thoucht of as a generalization of complex numbers that are just two dimensional rea vectors. This is based onrational vector approximations and arithmetics for rational vectors, and can be done via algebraic number fields. Then, we introducecomplex coniugate for a real vector and inner product for two rea vectors and two rea vector-valued sicnals of finite lenath, Wealso define convolution of two real vector-valued signals of finite length. With these concepts, the conventional linear fltering, leastsquares fiting, and ARMA model for scalar-valued signals can be easily generalized to real vector-valued signals, which broadensthe existina linear siana processind methods for scalar-alued sicnals and micht open a door to the future sianal processinc
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