Advertisement

Polar Codes

A Non-Trivial Approach to Channel Coding

  • Orhan Gazi
Book

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

Table of contents

  1. Front Matter
    Pages i-vi
  2. Orhan Gazi
    Pages 27-74
  3. Back Matter
    Pages 167-170

About this book

Introduction

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.

Keywords

Channel Polarization Polar Encoding Binary Erasure Channel (BEC) Channel Polarization Bhattacharyya Parameter Borel-sigma-field Martingale Process Polar Decoding

Authors and affiliations

  • Orhan Gazi
    • 1
  1. 1.Department of Electronic and Communication EngineeringÇankaya UniversityEtimesgut/AnkaraTurkey

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-0737-9
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-13-0736-2
  • Online ISBN 978-981-13-0737-9
  • Series Print ISSN 1866-2609
  • Series Online ISSN 1866-2617
  • Buy this book on publisher's site