Polar Codes
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Polar Codes
This book explains the philosophy of the polar encoding and decoding technique. Polar codes are one of the most recently discovered capacity-achieving channel codes. What sets them apart from other channel codes is the fact that polar codes are designed mathematically and their performance is mathematically proven. The book develops related fundamental concepts from information theory, such as entropy, mutual information, and channel capacity. It then explains the successive cancellation decoding logic and provides the necessary formulas, moving on to demonstrate the successive cancellation decoding operation with a tree structure. It also demonstrates the calculation of split channel capacities when polar codes are employed for binary erasure channels, and explains the mathematical formulation of successive cancellation decoding for polar codes. In closing, the book presents and proves the channel polarization theorem, before mathematically analyzing the performance of polar codes.
High-Speed Decoders for Polar Codes
A new class of provably capacity achieving error-correction codes, polar codes are suitable for many problems, such as lossless and lossy source coding, problems with side information, multiple access channel, etc. The first comprehensive book on the implementation of decoders for polar codes, the authors take a tutorial approach to explain the practical decoder implementation challenges and trade-offs in either software or hardware. They also demonstrate new trade-offs in latency, throughput, and complexity in software implementations for high-performance computing and GPGPUs, and hardware implementations using custom processing elements, full-custom application-specific integrated circuits (ASICs), and field-programmable-gate arrays (FPGAs). Presenting a good overview of this research area and future directions, High-Speed Decoders for Polar Codes is perfect for any researcher or SDR practitioner looking into implementing efficient decoders for polar codes, as well as students and professors in a modern error correction class. As polar codes have been accepted to protect the control channel in the next-generation mobile communication standard (5G) developed by the 3GPP, the audience includes engineers who will have to implement decoders for such codes and hardware engineers designing the backbone of communication networks.
Channel Coding in 5G New Radio
This book provides a comprehensive coverage of major channel codes adopted since the 3rd generation of mobile communication. Modulation schemes suitable for 5G mobile communications are also described based on key New Radio application scenarios and performance requirements. It covers low density parity check (LDPC) codes, Polar codes, tail-biting convolutional codes (TBCC) and Turbo codes. Outer codes and a few advanced coding and modulations are also discussed. In addition, it includes detailed illustration of each channel coding scheme such as the basic code structure, decoding algorithms, performance evaluation and complexity analysis. The book offers insights on why and how channel codes are designed and developed in standardization organizations, which significantly facilitates the reading and understanding of the of 5G channel coding technologies. Channel Coding in 5G New Radio will be an essential read for researchers and students of digital communications, wireless communications engineers, and those who are interested in mobile communications in general.