Studying the Binary Erasure Polarization Subchannels Using Network Reliability
Vlad Drăgoi, Valeriu C. Beiu · IEEE Communications Letters · 2019
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.