Studying the Binary Erasure Polarization Subchannels Using Network Reliability

In this article we analyze the reliability of the synthetic channels of a polar code designed for the binary erasure channel, and in particular the properties of their Bhattacharyya parameter. We apply techniques from network theory in order to establish fresh results. Firstly, we show how to effici...

Full description

Saved in:
Bibliographic Details
Published inIEEE communications letters Vol. 24; no. 1; pp. 62 - 66
Main Authors Dragoi, Vlad, Beiu, Valeriu
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Bhattacharyya parameter
Binary codes
binary erasure channel
Channels
Indexes
Network reliability
Nickel
Parameter identification
Polar codes
Reliability analysis
Reliability engineering
reliability polynomials
Reliability theory
Upper bound
Online AccessGet full text

Cover

More Information
Summary:In this article we analyze the reliability of the synthetic channels of a polar code designed for the binary erasure channel, and in particular the properties of their Bhattacharyya parameter. We apply techniques from network theory in order to establish fresh results. Firstly, we show how to efficiently approximate the Bhattacharyya parameter. Secondly, we identify asymptotically "good" channels for polar code. Thirdly, we determine a range of values for the erasure probability for which the selecting rule for the polar codes construction coincides with that of the Reed-Muller codes.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2019.2947910