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 anengineering intern at China Mobile Communications Corporation. I designed optimizedinstallation solutions for communication cables, maintained communication base stations,detected and tore down inferior signal transceivers installed by local residents. I acquiredknowledge about communications and signal processing from senior technicians, and learnedthe structures and function of communication base stations, as well as the specifications ofvarious equipment.

This experience not only allowed me to develop strong hands-on skills, butalso captured my interests in communications and signal processing.Through my undergraduate study, I became skilled in statistics, random process, advancedalgebra, functional analysis and optimization, which are theoretical foundations ofcommunications and information theory. For more experience, I joined Professor ZhimingZheng’s Applied Mathematics Laboratory investigating mathematical chaotic dynamicalsystems. Since chaos theory is complicated, I read a large number of papers especially focusingon “Period Three Implies Chaos”. After getting familiar with the chaotic dynamical system, Iapplied it into cryptography to improve the security in aerospace industry by utilizing itsrandom behaviors. I believe my mathematical background can be a big advantage in studyinginformation theory, signal processing and communications.Due to my outstanding academic grades, I was recommended for admission to the Master’sprogram at Peking University, where I specialized in Signal and Information Processing.

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AtPeking University, I conducted my undergraduate graduation project “The Analysis of ChannelCapacity with Differential Feedback of Channel State Information for Wireless OpticalCommunication” supervised by Professor Anhong Dang. Since my undergraduate major wasmathematics, I spent extra time learning knowledge about information theory (channel capacity,feedback schemes, coding theory, etc.) and wireless communication. I utilized my mathematicalbackground as complicated formula derivation and optimization are required in informationtheory. This research rendered me a valuable chance to apply mathematics knowledge to theresearch of wireless communication.Since September 2015, I have been a research assistant for Professor Anhong Dang at PekingUniversity Wireless Communication and Signal Processing Research Center.

I furtherconducted research about channel capacity of Phase Modulation/Coherent Detection, routingalgorithms for wireless networks, signal estimation algorithms, coding schemes, and wirelesschannel effects in wireless optical communication. My research resulted in six papers. One firstauthorpaper has been published in the top conference IEEE International Conference onCommunications (ICC) 2017.

Three other papers have been submitted to IEEE ICC 2018 andOSA Optics Letters (Impact Factor: 3.416).This summer I was a research assistant at UC-Berkeley, participating in the project “VisualCorrecting Display” led by Professor Brian Barsky. For three months, I devoted to digitallyprocessing the content of a display in computers so that people suffering from eye diseasescould see the display clearly without eyeglasses. This interdisciplinary research allowed me tocombine my knowledge of mathematics and signal processing with computer vision/graphicsand machine learning. I used analytical geometry knowledge to ameliorate the primitivemathematical model and develop a new “Realistic Forward Algorithm” to improve simulationand experiment results.

Simultaneously, I used optimization algorithms and deep learning (StyleTransfer 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 detectionalgorithm (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 ourdisplay processing software, I inputted it into the software to create a real-time visual correctingdisplay system.

To extended my knowledge in related computer science and artificial intelligence, I alsocompleted internships at Intel and Samsung. At Intel, I conducted projects based on the IntelRealsense 3D camera about image signal processing, computer vision and deep learning. Whileat Samsung, I developed the voice interaction software “Svoice”, which used a natural languageuser interface to answer questions and perform actions like “Siri” in iPhones. I demonstratedmy strong ability to research natural language processing with the help of my solid foundationin mathematics and signal processing.

My work at Intel and Samsung prepared me withextensive 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 knowledgeof mathematics, signal/information processing, wireless communication, and related computerscience.

With my interdisciplinary background, my goals are to research the efficient designand optimization problems like resource allocation in wireless networks, and to explorefundamental limits in communications and information theory. I am also interested indeveloping new communication technologies, such as massive multi-user MIMO systems, andapplying 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 ElectricalEngineering will provide me with an outstanding education and encourage me to undertakeinnovative research with the world-renowned faculty. I would like to work with ProfessorWenjun Hu, whose research interests in the application of techniques from communications andinformation theory to network systems match exactly with my background and interests. I alsohope 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 mobilenetworks appeals to me as well. With research competencies developed from my Master’sprogram, I have learned systematic research methodologies. After entering a professor’s lab, Ican start a project immediately and will surely bring achievements to my professor. In addition,I will contribute my interdisciplinary research experiences in information theory, signalprocessing, wireless communication and computer science to your community.

Upon completing my Ph.D. degree, I hope to further conduct postdoctoral research and seekfor opportunities to work as a professor or researcher at a leading American or Chineseuniversity. I believe the Ph.D. program at Yale will help me develop superior competitiveadvantages and allow me to make significant achievements in my field.