Ranging Sensor Fusion in LISA Data Processing: Treatment of Ambiguities, Noise, and On-Board Delays in LISA Ranging Observables
Jan Niklas Reinhardt Email: Affiliation: Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Callinstraße 38, 30167 Hannover, Germany Affiliation: Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany Martin Staab Affiliation: Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Callinstraße 38, 30167 Hannover, Germany Affiliation: Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany Kohei Yamamoto Affiliation: Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Callinstraße 38, 30167 Hannover, Germany Affiliation: Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany Jean-Baptiste Bayle Affiliation: University of Glasgow, Glasgow G12 8QQ, United Kingdom Aurélien Hees Affiliation: SYRTE, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, LNE, 61 avenue de l’observatoire 75014 Paris, France Olaf Hartwig Affiliation: Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Callinstraße 38, 30167 Hannover, Germany Affiliation: Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany Affiliation: SYRTE, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, LNE, 61 avenue de l’observatoire 75014 Paris, France Karsten Wiesner Affiliation: Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Callinstraße 38, 30167 Hannover, Germany Affiliation: Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany Sweta Shah Affiliation: Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Callinstraße 38, 30167 Hannover, Germany Affiliation: Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany Gerhard Heinzel Affiliation: Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Callinstraße 38, 30167 Hannover, Germany Affiliation: Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
Abstract
Interspacecraft ranging is crucial for the suppression of laser frequency noise via time-delay interferometry (TDI). So far, the effects of on-board delays and ambiguities on the LISA ranging observables were neglected in LISA modelling and data processing investigations. In reality, on-board delays cause offsets and timestamping delays in the LISA measurements, and pseudo-random noise (PRN) ranging is ambiguous, as it only determines the range up to an integer multiple of the PRN code length. In this article, we identify the four LISA ranging observables: PRN ranging, the sideband beatnotes at the interspacecraft interferometer, TDI ranging, and ground-based observations. We derive their observation equations in the presence of on-board delays, noise, and ambiguities. We then propose a three-stage ranging sensor fusion to combine these observables in order to gain accurate and precise ranging estimates. We propose to calibrate the on-board delays on ground and to compensate the associated offsets and timestamping delays in an initial data treatment (stage 1). We identify the ranging-related routines, which need to run continuously during operation (stage 2), and implement them num
原文 arXiv:2307.05204;中英对照 + 大白话阅读 https://aha.fim.ai/paper/2307.05204v3