Polarization as a novel architecture to boost the classical mismatched capacity of B-DMCs

TL;DR

This paper introduces a novel polar transformation technique that enhances the mismatched capacity of binary discrete memoryless channels, even when using mismatched decoding, by employing channel combining and splitting.

Contribution

The paper proposes a new polar-based method to improve the mismatched capacity of B-DMCs, demonstrating its effectiveness with mismatched polar decoders.

Findings

Mismatched capacity can be increased through polar transformations.

Channel combining and splitting improve capacity even with mismatched decoding.

The method is applicable to binary discrete memoryless channels.

Abstract

We show that the mismatched capacity of binary discrete memoryless channels can be improved by channel combining and splitting via Ar{\i}kan's polar transformations. We also show that the improvement is possible even if the transformed channels are decoded with a mismatched polar decoder.