Complex-Valued Matrix Derivatives
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Date: Thu, May 05, 2011
Time: 4:30-5:30
Location: Holmes Hall H389
Speaker: Are Hjørungnes
Abstract: A systematic theory is introduced for finding the derivatives of complex-valued matrix functions with respect to a complex-valued matrix variable and the complex conjugate of this variable. In the framework introduced, the differential of the complex-valued matrix function is used to identify the derivatives of this function. Matrix differentiation results are derived and summarized in tables which can be exploited in a wide range of signa processing related situations.
Biography of Are Hjørungnes
Are Hjørungnes (IEEE Senior Member) works as a Professor at the Faculty of Mathematics and Natural Sciences at the University of Oslo, Norway with office located at UNIK - University Graduate Center. He obtained his Sivilingeniør (M.Sc.) degree (with honors) in 1995 from the Department of Telecommunications at the Norwegian Institute of Technology in Trondheim, Norway, and his Doktor ingeniør (Ph.D.) degree in 2000 from the Signal Processing Group at the Norwegian University of Science and Technology. His current main research areas are signal processing, communications, and wireless networks. He authored the book "Complex-Valued Matrix Derivatives: With Applications in Signal Processing and Communications", Cambridge University Press, 2011. From August 2000 to December 2000, he worked as a researcher at Tampere University of Technology, in Finland, within the Tampere International Center for Signal Processing. From March 2001 to July 2002, he worked as a postdoctoral fellow at the Federal University of Rio de Janeiro in Brazil, within the Signal Processing Laboratory. From September 2002 to August 2003, he worked as a postdoctoral fellow at the Helsinki University of Technology in Finland, within the Signal Processing Laboratory. From September 2003 to August 2004, he was working as a postdoctoral fellow at the University of Oslo in Norway, at the Department of Informatics, within the Digital Signal Processing and Image Analysis Group. He has held visiting appointments at the Image and Signal Processing Laboratory at the University of California, Santa Barbara, the Signal Processing Laboratory of the Federal University of Rio de Janeiro, the Mobile Communications Department at Eurecom Institute in France, the University of Manitoba in Canada, the Alcatel-Lucent Chair at SUPÉLEC in France, the Department of Electrical and Computer Engineering at the University of Houston in USA, the Electrical and Computer Engineering Department at University of California, San Diego, USA, and the Department of Electrical Engineering, University of Hawaiʻi at Mānoa, USA. Since March 2007, he has been serving as an Editor for IEEE Transactions on Wireless Communications. In 2010 and 2011, he was a Guest Editor for IEEE Journal of Selected Topics in Signal Processing and IEEE Journal on Selected Areas in Communications, in the special issues on "Model Order Selection in Signal Processing Systems" and "Cooperative Networking - Challenges and Applications". He co-authored the papers winning the best paper awards at IEEE International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM 2007), 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt 2009), and 5th International Conference on Internet Monitoring and Protection (ICIMP 2010).
From August 2000 to December 2000, he worked as a researcher at Tampere University of Technology, in Finland, within the Tampere International Center for Signal Processing. From March 2001 to July 2002, he worked as a postdoctoral fellow at the Federal University of Rio de Janeiro in Brazil, within the Signal Processing Laboratory. From September 2002 to August 2003, he worked as a postdoctoral fellow at the Helsinki University of Technology in Finland, within the Signal Processing Laboratory. From September 2003 to August 2004, he was working as a postdoctoral fellow at the University of Oslo in Norway, at the Department of Informatics, within the Digital Signal Processing and Image Analysis Group.
He has held visiting appointments at the Image and Signal Processing Laboratory at the University of California, Santa Barbara, the Signal Processing Laboratory of the Federal University of Rio de Janeiro, the Mobile Communications Department at Eurecom Institute in France, the University of Manitoba in Canada, the Alcatel-Lucent Chair at SUPÉLEC in France, the Department of Electrical and Computer Engineering at the University of Houston in USA, the Electrical and Computer Engineering Department at University of California, San Diego, USA, and the Department of Electrical Engineering, University of Hawaiʻi at Mānoa, USA.
Since March 2007, he has been serving as an Editor for IEEE Transactions on Wireless Communications. In 2010 and 2011, he was a Guest Editor for IEEE Journal of Selected Topics in Signal Processing and IEEE Journal on Selected Areas in Communications, in the special issues on "Model Order Selection in Signal Processing Systems" and "Cooperative Networking - Challenges and Applications". He co-authored the papers winning the best paper awards at IEEE International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM 2007), 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt 2009), and 5th International Conference on Internet Monitoring and Protection (ICIMP 2010).
Date: Thu, May 05, 2011
Time: 4:30-5:30
Location: Holmes Hall H389
Speaker: Are Hjørungnes
Abstract: A systematic theory is introduced for finding the derivatives of complex-valued matrix functions with respect to a complex-valued matrix variable and the complex conjugate of this variable. In the framework introduced, the differential of the complex-valued matrix function is used to identify the derivatives of this function. Matrix differentiation results are derived and summarized in tables which can be exploited in a wide range of signa processing related situations.
Biography of Are Hjørungnes
Are Hjørungnes (IEEE Senior Member) works as a Professor at the Faculty of Mathematics and Natural Sciences at the University of Oslo, Norway with office located at UNIK - University Graduate Center. He obtained his Sivilingeniør (M.Sc.) degree (with honors) in 1995 from the Department of Telecommunications at the Norwegian Institute of Technology in Trondheim, Norway, and his Doktor ingeniør (Ph.D.) degree in 2000 from the Signal Processing Group at the Norwegian University of Science and Technology. His current main research areas are signal processing, communications, and wireless networks. He authored the book "Complex-Valued Matrix Derivatives: With Applications in Signal Processing and Communications", Cambridge University Press, 2011. From August 2000 to December 2000, he worked as a researcher at Tampere University of Technology, in Finland, within the Tampere International Center for Signal Processing. From March 2001 to July 2002, he worked as a postdoctoral fellow at the Federal University of Rio de Janeiro in Brazil, within the Signal Processing Laboratory. From September 2002 to August 2003, he worked as a postdoctoral fellow at the Helsinki University of Technology in Finland, within the Signal Processing Laboratory. From September 2003 to August 2004, he was working as a postdoctoral fellow at the University of Oslo in Norway, at the Department of Informatics, within the Digital Signal Processing and Image Analysis Group. He has held visiting appointments at the Image and Signal Processing Laboratory at the University of California, Santa Barbara, the Signal Processing Laboratory of the Federal University of Rio de Janeiro, the Mobile Communications Department at Eurecom Institute in France, the University of Manitoba in Canada, the Alcatel-Lucent Chair at SUPÉLEC in France, the Department of Electrical and Computer Engineering at the University of Houston in USA, the Electrical and Computer Engineering Department at University of California, San Diego, USA, and the Department of Electrical Engineering, University of Hawaiʻi at Mānoa, USA. Since March 2007, he has been serving as an Editor for IEEE Transactions on Wireless Communications. In 2010 and 2011, he was a Guest Editor for IEEE Journal of Selected Topics in Signal Processing and IEEE Journal on Selected Areas in Communications, in the special issues on "Model Order Selection in Signal Processing Systems" and "Cooperative Networking - Challenges and Applications". He co-authored the papers winning the best paper awards at IEEE International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM 2007), 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt 2009), and 5th International Conference on Internet Monitoring and Protection (ICIMP 2010).
From August 2000 to December 2000, he worked as a researcher at Tampere University of Technology, in Finland, within the Tampere International Center for Signal Processing. From March 2001 to July 2002, he worked as a postdoctoral fellow at the Federal University of Rio de Janeiro in Brazil, within the Signal Processing Laboratory. From September 2002 to August 2003, he worked as a postdoctoral fellow at the Helsinki University of Technology in Finland, within the Signal Processing Laboratory. From September 2003 to August 2004, he was working as a postdoctoral fellow at the University of Oslo in Norway, at the Department of Informatics, within the Digital Signal Processing and Image Analysis Group.
He has held visiting appointments at the Image and Signal Processing Laboratory at the University of California, Santa Barbara, the Signal Processing Laboratory of the Federal University of Rio de Janeiro, the Mobile Communications Department at Eurecom Institute in France, the University of Manitoba in Canada, the Alcatel-Lucent Chair at SUPÉLEC in France, the Department of Electrical and Computer Engineering at the University of Houston in USA, the Electrical and Computer Engineering Department at University of California, San Diego, USA, and the Department of Electrical Engineering, University of Hawaiʻi at Mānoa, USA.
Since March 2007, he has been serving as an Editor for IEEE Transactions on Wireless Communications. In 2010 and 2011, he was a Guest Editor for IEEE Journal of Selected Topics in Signal Processing and IEEE Journal on Selected Areas in Communications, in the special issues on "Model Order Selection in Signal Processing Systems" and "Cooperative Networking - Challenges and Applications". He co-authored the papers winning the best paper awards at IEEE International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM 2007), 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt 2009), and 5th International Conference on Internet Monitoring and Protection (ICIMP 2010).