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Title: Polar codes and polar lattices for multi-terminal communication systems
Author: Shi, Jinwen
ISNI:       0000 0004 7658 9317
Awarding Body: Imperial College London
Current Institution: Imperial College London
Date of Award: 2019
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In the last few years, there have been considerable interests in multi-terminal com- munication systems as they have been applied in various commercial and military applications. In this thesis, we aim to tackle some important problems in information theory subject to multi-terminal systems, such as source coding and channel coding with side information, multiterminal source coding, and network coding, etc. The key idea of our solution is based on polar codes and lattice codes. The invention of polar codes is considered to be one of the major breakthroughs in coding theory for the past ten years, since they are able to provide explicit and practical code constructions. Lattice codes with good performance have played an important role in communication and source compression over the past 60 years. Polar lattices, as a new method to construct lattices by using polar codes, have been developed in recent years. By employing polar codes and polar lattices, we develop explicit code constructions achieve the rate-distortion function of the Heegard-Berger problem which can be regarded an extension to the classical Wyner-Ziv problem with side information may or may not presented at the decoder. With the use of these two codes, we show practical solutions to extract the Wyner's common information among two or more random variables for both binary or Gaussian scenarios. Finally, we apply lattice codes as the channel code of the users in the cloud radio access network (C-RAN), where the packets are sent to the cloud for distributed decoding through an AWGN channel. We evaluate the tradeoff between the frame error rate and the decoding latency by giving a calculation of the optimal computation rate to guarantee a reliable transmission.
Supervisor: Ling, Cong Sponsor: Engineering and Physical Science Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral