VIETNAM NATIONAL UNIVERISTY, HANOI
UNIVERSITY OF ENGINEERING AND TECHNOLOGY
LE TRUNG THANH
GMNS-BASED TENSOR DECOMPOSITION
MASTER THESIS: COMMUNICATIONS ENGINEERING
Hanoi, 11/2018
VIETNAM NATIONAL UNIVERISTY, HANOI
UNIVERSITY OF ENGINEERING AND TECHNOLOGY
LE TRUNG THANH
GMNS-BASED TENSOR DECOMPOSITION
Program: Communications Engineering
Major: Electronics and Communications Engineering
Code: 8510302.02
MASTER THESIS: COMMUNICATIONS ENGINEERING
SUPERVISOR: Assoc. Prof. NGUYEN LINH TRUNG
Hanoi 11/2018
Authorship
“I hereby declare that the work contained in this thesis is of my own and has not been
previously submitted for a degree or diploma at this or any other higher education
institution. To the best of my knowledge and belief, the thesis contains no materials
previously or written by another person except where due reference or acknowledgement
is made”.
Signature: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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Supervisor’s approval
“I hereby approve that the thesis in its current form is ready for committee exami-
nation as a requirement for the Degree of Master in Electronics and Communications
Engineering at the University of Engineering and Technology”.
Signature: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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Acknowledgments
This thesis would not have been possible without the guidance and the help of several
individuals who contributed and extended their valuable assistance in the preparation
and completion of this study.
I am deeply thankful to my family, who have been sacrificing their whole life for
me and always supporting me throughout my education process.
I would like to express my sincere gratitude to my supervisor, Prof. Nguyen Linh
Trung who introduced me to the interesting research problem of tensor analysis that
combines multilinear algebra and signal processing. Under his guidance, I have learned
many useful things from him such as passion, patience and academic integrity. I am
lucky to have him as my supervisor. To me, he is the best supervisor who a student can
ask for. Many thanks to Dr. Nguyen Viet Dung for his support, valuable comments
on my work, as well as his professional experience in academic life. My main results in
this thesis are inspired directly from his GMNN algorithm for subspace estimation.
I am also thankful to all members of the Signals and Systems Laboratory and my
co-authors, Mr. Truong Minh Chinh, Mrs. Nguyen Thi Anh Dao, Mr. Nguyen Thanh
Trung, Dr. Nguyen Thi Hong Thinh, Dr. Le Vu Ha and Prof. Karim Abed-Meraim for
all their enthusiastic guidance and encouragement during the study and preparation
for my thesis.
Finally, I would like to express my great appreciation to all professors of the Faculty
of Electronics and Telecommunications for their kind teaching during the two years of
my study.
The work presented in this thesis is based on the research and development con-
ducted in Signals and Systems Laboratory (SSL) at University of Engineering and
Technology within Vietnam National University, Hanoi (UET-VNU) and is funded by
Vietnam National Foundation for Science and Technology Development (NAFOSTED)
under grant number 102.02-2015.32.
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