# Performance Bounds for Finite Moving Average Change Detection: Application to Global Navigation Satellite Systems

## TL;DR

This paper introduces a finite moving average change detection method to improve signal integrity analysis in GNSS, specifically targeting transient disturbances like multipath effects, with performance evaluations against existing techniques.

## Contribution

It proposes a novel finite moving average stopping time for transient change detection in GNSS signals, enhancing integrity monitoring capabilities.

## Key findings

- The proposed method effectively detects multipath disturbances.
- Numerical results show improved detection performance over existing methods.
- The approach provides a reliable framework for real-time integrity assessment.

## Abstract

Due to the widespread deployment of Global Navigation Satellite Systems (GNSSs) for critical road or urban applications, one of the major challenges to be solved is the provision of integrity to terrestrial environments, so that GNSS may be safety used in these applications. To do so, the integrity of the received GNSS signal must be analyzed in order to detect some local effect disturbing the received signal. This is desirable because the presence of some local effect may cause large position errors, and hence compromise the signal integrity. Moreover, the detection of such disturbing effects must be done before some pre-established delay. This kind of detection lies within the field of transient change detection. In this work, a finite moving average stopping time is proposed in order to approach the signal integrity problem with a transient change detection framework. The statistical performance of this stopping time is investigated and compared, in the context of multipath detection, to other different methods available in the literature. Numerical results are presented in order to assess their performance.