Multilevel Binary Polar-Coded Modulation Achieving the Capacity of Asymmetric Channels

TL;DR

This paper proposes a multilevel binary polar-coded modulation scheme with probabilistic shaping that achieves the capacity of asymmetric channels with power-of-two input alphabets, demonstrating competitive finite-length performance.

Contribution

It introduces a novel multilevel coding scheme using only binary polar codes and probabilistic shaping to achieve capacity on asymmetric channels.

Findings

Achieves capacity of discrete memoryless channels with power-of-two input alphabets.

Finite-length performance compares favorably to existing polar-coded probabilistic amplitude shaping.

Demonstrates practical implementation of capacity-achieving coding for asymmetric channels.

Abstract

A multilevel coded modulation scheme is studied that uses solely binary polar codes and Honda-Yamamoto probabilistic shaping. The scheme is shown to achieve the capacity of discrete memoryless channels with input alphabets of cardinality a power of two. The performance of finite-length implementations is compared to polar-coded probabilistic amplitude shaping and constant composition distribution matching.