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Polar Codes

A Non-Trivial Approach to Channel Coding

  • Book
  • © 2019

Overview

  • Explains the philosophy of the polar encoding and decoding technique
  • Develops the fundamental concepts from information theory
  • Demonstrates successive cancellation decoding, the calculation of split channel capacities, and the channel polarization theorem

Part of the book series: Springer Topics in Signal Processing (STSP, volume 15)

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Table of contents (5 chapters)

Keywords

About this book

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.

Reviews

“The book is easy to read. It has numerous examples and exercise problems and hence can be used as a textbook on polar codes. I recommend it to engineers who want to learn about these powerful codes. … the book is still useful for many senior undergraduate and graduate students. I enjoyed reading the book.” (Manish Gupta, Computing Reviews, March 07, 2019)

Authors and Affiliations

  • Department of Electronic and Communication Engineering, Çankaya University, Etimesgut/Ankara, Turkey

    Orhan Gazi

About the author

Orhan Gazi is an Associate Professor at the Electronic and Communication Engineering Department, Cankaya University. He received his BS, MS and PhD degrees in Electrical and Electronics Engineering from Middle East Technical University, Ankara, Turkey, in 1996, 2001, and 2007 respectively. His research interests are chiefly in signal processing, information theory, and forward error correction. Most recently he has been studying polar channel codes and preparing publications in this area. Prof. Gazi has also authored several books on Signal Processing and Information Theory.

Bibliographic Information

  • Book Title: Polar Codes

  • Book Subtitle: A Non-Trivial Approach to Channel Coding

  • Authors: Orhan Gazi

  • Series Title: Springer Topics in Signal Processing

  • DOI: https://doi.org/10.1007/978-981-13-0737-9

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Singapore Pte Ltd. 2019

  • Hardcover ISBN: 978-981-13-0736-2Published: 20 June 2018

  • Softcover ISBN: 978-981-13-4488-6Published: 29 December 2018

  • eBook ISBN: 978-981-13-0737-9Published: 08 June 2018

  • Series ISSN: 1866-2609

  • Series E-ISSN: 1866-2617

  • Edition Number: 1

  • Number of Pages: VI, 170

  • Number of Illustrations: 117 b/w illustrations, 2 illustrations in colour

  • Topics: Communications Engineering, Networks, Coding and Information Theory

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