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Polar Codes [electronic resource] : A Non-Trivial Approach to Channel Coding / by Orhan Gazi.

By: Gazi, Orhan [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Topics in Signal Processing: 15Publisher: Singapore : Springer Nature Singapore : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: VI, 170 p. 119 illus., 2 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789811307379.Subject(s): Telecommunication | Coding theory | Information theory | Communications Engineering, Networks | Coding and Information TheoryAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 621.382 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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.
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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.

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.

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