In technicians, and learned the structures and function of

In the summer of 2014, when I was a junior majoring in mathematics, I worked as an
engineering intern at China Mobile Communications Corporation. I designed optimized
installation solutions for communication cables, maintained communication base stations,
detected and tore down inferior signal transceivers installed by local residents. I acquired
knowledge about communications and signal processing from senior technicians, and learned
the structures and function of communication base stations, as well as the specifications of
various equipment. This experience not only allowed me to develop strong hands-on skills, but
also captured my interests in communications and signal processing.
Through my undergraduate study, I became skilled in statistics, random process, advanced
algebra, functional analysis and optimization, which are theoretical foundations of
communications and information theory. For more experience, I joined Professor Zhiming
Zheng’s Applied Mathematics Laboratory investigating mathematical chaotic dynamical
systems. Since chaos theory is complicated, I read a large number of papers especially focusing
on “Period Three Implies Chaos”. After getting familiar with the chaotic dynamical system, I
applied it into cryptography to improve the security in aerospace industry by utilizing its
random behaviors. I believe my mathematical background can be a big advantage in studying
information theory, signal processing and communications.
Due to my outstanding academic grades, I was recommended for admission to the Master’s
program at Peking University, where I specialized in Signal and Information Processing. At
Peking University, I conducted my undergraduate graduation project “The Analysis of Channel
Capacity with Differential Feedback of Channel State Information for Wireless Optical
Communication” supervised by Professor Anhong Dang. Since my undergraduate major was
mathematics, I spent extra time learning knowledge about information theory (channel capacity,
feedback schemes, coding theory, etc.) and wireless communication. I utilized my mathematical
background as complicated formula derivation and optimization are required in information
theory. This research rendered me a valuable chance to apply mathematics knowledge to the
research of wireless communication.
Since September 2015, I have been a research assistant for Professor Anhong Dang at Peking
University Wireless Communication and Signal Processing Research Center. I further
conducted research about channel capacity of Phase Modulation/Coherent Detection, routing
algorithms for wireless networks, signal estimation algorithms, coding schemes, and wireless
channel effects in wireless optical communication. My research resulted in six papers. One firstauthor
paper has been published in the top conference IEEE International Conference on
Communications (ICC) 2017. Three other papers have been submitted to IEEE ICC 2018 and
OSA Optics Letters (Impact Factor: 3.416).
This summer I was a research assistant at UC-Berkeley, participating in the project “Visual
Correcting Display” led by Professor Brian Barsky. For three months, I devoted to digitally
processing the content of a display in computers so that people suffering from eye diseases
could see the display clearly without eyeglasses. This interdisciplinary research allowed me to
combine my knowledge of mathematics and signal processing with computer vision/graphics
and machine learning. I used analytical geometry knowledge to ameliorate the primitive
mathematical model and develop a new “Realistic Forward Algorithm” to improve simulation
and experiment results. Simultaneously, I used optimization algorithms and deep learning (Style
Transfer Framework) to optimize the configuration of the pinhole mask, a tool in our project,  to minimize negative effects, such as the pixel overlap. Additionally, I applied the face detection
algorithm (Viola-Jones algorithm) and binocular positioning method (using Matlab and Opencv)
to detect the real-time human eye location. Since the eye location was a prerequisite in our
display processing software, I inputted it into the software to create a real-time visual correcting
display system.
To extended my knowledge in related computer science and artificial intelligence, I also
completed internships at Intel and Samsung. At Intel, I conducted projects based on the Intel
Realsense 3D camera about image signal processing, computer vision and deep learning. While
at Samsung, I developed the voice interaction software “Svoice”, which used a natural language
user interface to answer questions and perform actions like “Siri” in iPhones. I demonstrated
my strong ability to research natural language processing with the help of my solid foundation
in mathematics and signal processing. My work at Intel and Samsung prepared me with
extensive experience in interdisciplinary research, which will be helpful for my Ph.D. study.
My academic studies, combined with projects I have done, have given me a diverse knowledge
of mathematics, signal/information processing, wireless communication, and related computer
science. With my interdisciplinary background, my goals are to research the efficient design
and optimization problems like resource allocation in wireless networks, and to explore
fundamental limits in communications and information theory. I am also interested in
developing new communication technologies, such as massive multi-user MIMO systems, and
applying machine learning into traditional wireless communication and network systems.
I believe studying at Yale can help me achieve my goals. The Ph.D. program in Electrical
Engineering will provide me with an outstanding education and encourage me to undertake
innovative research with the world-renowned faculty. I would like to work with Professor
Wenjun Hu, whose research interests in the application of techniques from communications and
information theory to network systems match exactly with my background and interests. I also
hope to collaborate with Professor Sekhar Tatikonda on the research about information theory,
communication networking, optimization and machine learning. In addition, Professor A.
Stephen Morse’s research in sensor network localization and distributed control of mobile
networks appeals to me as well. With research competencies developed from my Master’s
program, I have learned systematic research methodologies. After entering a professor’s lab, I
can start a project immediately and will surely bring achievements to my professor. In addition,
I will contribute my interdisciplinary research experiences in information theory, signal
processing, wireless communication and computer science to your community.
Upon completing my Ph.D. degree, I hope to further conduct postdoctoral research and seek
for opportunities to work as a professor or researcher at a leading American or Chinese
university. I believe the Ph.D. program at Yale will help me develop superior competitive
advantages and allow me to make significant achievements in my field.