Parity Check Codes for Second Order Diversity

TL;DR

This paper introduces a low-complexity hard decision decoding scheme for parity check codes that preserves diversity over Rayleigh fading channels, combining theoretical validation with simulation results.

Contribution

It proposes a novel flip decoding scheme for PCC that maintains diversity and has linear complexity, addressing computational challenges in fading channels.

Findings

The decoding scheme preserves diversity in Rayleigh fading channels.

The proposed method has linear complexity in block length.

Simulations confirm the effectiveness of the decoding scheme.

Abstract

Block codes are typically not used for fading channels as soft decision decoding is computationally intensive and hard decision decoding results in performance loss. In this paper we propose a diversity preserving hard decision decoding scheme for parity check codes (PCC) over Rayleigh fading channels. The proposed flip decoding scheme has linear complexity in the block length. Theoretical analysis and simulation results verify the correctness of the proposed detection scheme.