Anytime Reliable LDPC Convolutional Codes for Networked Control over Wireless Channel

TL;DR

This paper proposes the use of LDPC convolutional codes to ensure reliable, real-time communication for stabilizing unstable systems over noisy wireless channels, demonstrating theoretical bounds and simulation results.

Contribution

It introduces protograph-based LDPC convolutional codes for anytime reliability in networked control, providing bounds and demonstrating diversity gains over fading channels.

Findings

LDPC convolutional codes achieve anytime reliability in AWGN channels.

A lower SNR bound for system stabilization is derived.

Multiple sensors improve reliability through diversity gain.

Abstract

This paper deals with the problem of stabilizing an unstable system through networked control over the wireless medium. In such a situation a remote sensor communicates the measurements to the system controller through a noisy channel. In particular, in the AWGN scenario, we show that protograph-based LDPC convolutional codes achieve anytime reliability and we also derive a lower bound to the signal-to-noise ratio required to stabilize the system. Moreover, on the Rayleigh-fading channel, we show by simulations that resorting to multiple sensors allows to achieve a diversity gain.