Optimal design of calibration signals in space borne gravitational wave detectors
arXiv:1511.09198 · doi:10.1103/PhysRevD.93.102004
Abstract
Future space borne gravitational wave detectors will require a precise definition of calibration signals to ensure the achievement of their design sensitivity. The careful design of the test signals plays a key role in the correct understanding and characterisation of these instruments. In that sense, methods achieving optimal experiment designs must be considered as complementary to the parameter estimation methods being used to determine the parameters describing the system. The relevance of experiment design is particularly significant for the LISA Pathfinder mission, which will spend most of its operation time performing experiments to characterise key technologies for future space borne gravitational wave observatories. Here we propose a framework to derive the optimal signals ---in terms of minimum parameter uncertainty--- to be injected to these instruments during its calibration phase. We compare our results with an alternative numerical algorithm which achieves an optimal input signal by iteratively improving an initial guess. We show agreement of both approaches when applied to the LISA Pathfinder case.
12 pages, 6 figures
References in corpus (11)
- Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
- The Mock LISA Data Challenges: from Challenge 3 to Challenge 4
- Data series subtraction with unknown and unmodeled background noise
- The diagnostics subsystem on board LISA PathFinder and LISA
- Inflight magnetic characterization of the test masses onboard LISA Pathfinder
- Bayesian parameter estimation in the second LISA Pathfinder Mock Data Challenge
- Bayesian Model Selection for LISA Pathfinder
- Time domain maximum likelihood parameter estimation in LISA Pathfinder Data Analysis
- Quantitative Analysis of LISA Pathfinder Test Mass Noise
- Parameter estimation in LISA Pathfinder operational exercises
- State space modelling and data analysis exercises in LISA Pathfinder