# Polar subcodes for MIMO systems

## TL;DR

This paper introduces polar subcodes with dynamic freezing constraints for MIMO systems, demonstrating significant performance improvements over LDPC codes through advanced joint decoding techniques.

## Contribution

It proposes a novel construction of polar subcodes with cross-antenna dynamic freezing for MIMO, enhancing decoding performance in such systems.

## Key findings

- Polar subcodes outperform LDPC codes at the same rate in MIMO systems.
- Joint list decoding with QR and MMSE detectors improves decoding accuracy.
- The proposed methods achieve notable performance gains in simulated MIMO scenarios.

## Abstract

Polar-coded multiple-input multiple-output systems are investigated. An advanced receiver implementing joint list decoding of polar codes and QR- and MMSE-based detectors is proposed. The approximate and exact path metrics are derived for joint list decoder of polar codes. A construction of polar subcodes for MIMO systems with cross-antenna dynamic freezing constraints is proposed. The obtained polar subcodes provide significant performance gain compared to LDPC-coded MIMO systems with the same rate allocation.