Reducing Two-Way Ranging Variance by Signal-Timing Optimization

Fuente: arXiv
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Autores principales: Shalaby, Mohammed Ayman, Cossette, Charles Champagne, Forbes, James Richard, Ny, Jerome Le
Formato: Preprint
Publicado: 2022
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author Shalaby, Mohammed Ayman
Cossette, Charles Champagne
Forbes, James Richard
Ny, Jerome Le
author_facet Shalaby, Mohammed Ayman
Cossette, Charles Champagne
Forbes, James Richard
Ny, Jerome Le
contents Time-of-flight-based ranging among transceivers with different clocks requires protocols that accommodate varying rates of the clocks. Double-sided two-way ranging (DS-TWR) is widely adopted as a standard protocol due to its accuracy; however, the precision of DS-TWR has not been clearly addressed. In this paper, an analytical model of the variance of DS-TWR is derived as a function of the user-programmed response delays, which is then compared to the Cramer-Rao Lower Bound (CRLB). This is then used to formulate an optimization problem over the response delays in order to maximize the information gained from range measurements. The derived analytical variance model and optimized protocol are validated experimentally with 2 ranging UWB transceivers, where 29 million range measurements are collected.
format Preprint
id arxiv_https___arxiv_org_abs_2211_00538
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Reducing Two-Way Ranging Variance by Signal-Timing Optimization
Shalaby, Mohammed Ayman
Cossette, Charles Champagne
Forbes, James Richard
Ny, Jerome Le
Signal Processing
Robotics
Time-of-flight-based ranging among transceivers with different clocks requires protocols that accommodate varying rates of the clocks. Double-sided two-way ranging (DS-TWR) is widely adopted as a standard protocol due to its accuracy; however, the precision of DS-TWR has not been clearly addressed. In this paper, an analytical model of the variance of DS-TWR is derived as a function of the user-programmed response delays, which is then compared to the Cramer-Rao Lower Bound (CRLB). This is then used to formulate an optimization problem over the response delays in order to maximize the information gained from range measurements. The derived analytical variance model and optimized protocol are validated experimentally with 2 ranging UWB transceivers, where 29 million range measurements are collected.
title Reducing Two-Way Ranging Variance by Signal-Timing Optimization
topic Signal Processing
Robotics
url https://arxiv.org/abs/2211.00538