# Spatially Coupled LDPC Codes with Non-uniform Coupling for Improved Decoding Speed

## TL;DR

This paper introduces optimized non-uniform coupling in spatially coupled LDPC codes to enhance decoding speed and performance under low-complexity decoding constraints, using differential evolution for optimization.

## Contribution

It proposes a novel non-uniform coupling scheme for spatially coupled LDPC codes, improving decoding speed and performance while maintaining regular degree distribution.

## Key findings

- Optimized coupling improves decoding speed.
- Simulation confirms performance gains.
- Regular degree distribution maintained.

## Abstract

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing the amount of coupling between spatial positions, we show that we can construct codes with improved decoding speed compared with conventional, uniform smoothing constructions. This leads to a significantly better performance under decoder complexity constraints while keeping the degree distribution regular. We optimize smoothing configurations using differential evolution and illustrate the performance gains by means of a simulation.