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Polar Codes
A Non-Trivial Approach to Channel Coding
Buch von Orhan Gazi
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis
Information Theory Perspective of Polar Codes and Polar Encoding.- Decoding of Polar Codes.- Channel Polarization of Binary Erasure Channels.- Mathematical Modelling of Polar Codes, Channel Combining and Splitting.- Polarization Rate and Performance of Polar Codes.
Details
Erscheinungsjahr: 2018
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Springer Topics in Signal Processing
Inhalt: vi
170 S.
117 s/w Illustr.
2 farbige Illustr.
170 p. 119 illus.
2 illus. in color.
ISBN-13: 9789811307362
ISBN-10: 9811307369
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Gazi, Orhan
Auflage: 1st ed. 2019
Hersteller: Springer Singapore
Springer Nature Singapore
Springer Topics in Signal Processing
Maße: 241 x 160 x 16 mm
Von/Mit: Orhan Gazi
Erscheinungsdatum: 20.06.2018
Gewicht: 0,436 kg
Artikel-ID: 113631593
Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis
Information Theory Perspective of Polar Codes and Polar Encoding.- Decoding of Polar Codes.- Channel Polarization of Binary Erasure Channels.- Mathematical Modelling of Polar Codes, Channel Combining and Splitting.- Polarization Rate and Performance of Polar Codes.
Details
Erscheinungsjahr: 2018
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Springer Topics in Signal Processing
Inhalt: vi
170 S.
117 s/w Illustr.
2 farbige Illustr.
170 p. 119 illus.
2 illus. in color.
ISBN-13: 9789811307362
ISBN-10: 9811307369
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Gazi, Orhan
Auflage: 1st ed. 2019
Hersteller: Springer Singapore
Springer Nature Singapore
Springer Topics in Signal Processing
Maße: 241 x 160 x 16 mm
Von/Mit: Orhan Gazi
Erscheinungsdatum: 20.06.2018
Gewicht: 0,436 kg
Artikel-ID: 113631593
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