Time Delay Interferometry combinations as instrument noise monitors for LISA

Muratore, Martina; Vetrugno, Daniele; Vitale, Stefano; Hartwig, Olaf

doi:10.48550/arxiv.2108.02738

Cited by 3 publications

(13 citation statements)

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“…If the performances of six test masses and optical benches and fully identical, the acceleration noise and optical path noise could be precisely characterized by three or fewer TDI channels [21][22][23]. However, in the realistic case, the performance of instruments on each spacecraft may differ from each other, and these noises should be characterized individually by combing multiple TDI outputs [24][25][26][27].…”

Section: References Therein]mentioning

confidence: 99%

Charactering instrumental noises and stochastic gravitational wave signals from combined time-delay interferometry

Wang¹,

Li²,

Xu³

et al. 2022

Preprint

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LISA will detect gravitational wave (GW) in the milli-Hz frequency band in space. Time-delay interferometry (TDI) is developed to suppress laser frequency noise beneath the acceleration noise and optical metrology noise. To identify stochastic GW signals, it would be required to characterize these noise components entangled in TDI data streams. In this work, we demonstrate noises characterization by combining the first-generation TDI channels from Michelson and Relay configurations. By assuming stationary Gaussian noise in three-year observation, the combination of Michelson and Relay could effectively break the degeneracy between the different optical path noises on three spacecraft. Based on the characterized noises, we further reconstruct the power spectrum density of noise in the selected TDI channel. Two cases are performed to characterize the spectrum shape of a stochastic GW signal. For a modeled signal, its parameter(s) could be directly estimated from the TDI data, and its spectrum could be recovered from the inferred values. And for an unexpected signal, its spectrum may be recognized and retrieved from noise-subtracted residual in which its power spectrum density surpasses the noise level.

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Section: References Therein]mentioning

confidence: 99%

Charactering instrumental noises and stochastic gravitational wave signals from combined time-delay interferometry

Wang¹,

Li²,

Xu³

et al. 2022

Preprint

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“…Moreover, additional combinations of 14-links that were missing in the previous catalogue are reported in [6], where it is illustrated that the total number of combinations could be reduce to a subset of 28 of 16-links, 3 of 14-links and 3 of 12-links, if one considers as equal combinations that differ only by any permutations of satellites or a time reversal symmetry.…”

Section: Introductionmentioning

confidence: 99%

“…Although it is often considered sufficient to use '0th generation' TDI (meaning three constant and equal arms) to perform data analysis, recent studies showed that neglecting the percent level static arm-length mismatches can in some cases bring large errors when modelling the instrument response to non-suppressed noises and GW signals [6]. On the other hand, considering three unequal arms was sufficient there to accurately predict the result of numerical simulations performed taking the full orbital dynamics into account.…”

Section: Introductionmentioning

confidence: 99%

“…In the rest of the paper, we do a follow up of [6], studying algebraic relationships between the new TDI combinations presented there under the same assumption of 1st generation TDI to investigate which TDI channels should be suggested for the LISA data analysis.…”

Section: Introductionmentioning

confidence: 99%

“…The rest of the article is divided in three sections. In section 2, we report the core combinations found in [6] and we illustrate how we can highlight similarities between them by simplifying these combinations under the assumptions of 1st generation TDI. Moreover, we compute explicitly how each of these simplified combinations is related to the four generators of first generation TDI, α, β, γ and ζ, and discuss the implications for LISA data analysis.…”

Section: Introductionmentioning

confidence: 99%

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Characterization of Time Delay Interferometry combinations for the LISA instrument noise

Hartwig,

Muratore

2021

Preprint

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Time delay interferometry (TDI) is a post-processing technique used in the Laser InterferometerSpace Antenna (LISA) to reduce laser frequency noise by building an equal-arm interferometer via combining time-shifted raw phase measurements. Many so-called 2nd generation TDI variables have been found that sufficiently suppress laser frequency noise considering realistic LISA orbital dynamics.In this paper, we want to investigate the relationships between these different TDI channels to understand the optimal approach for recovering all information from the raw phase measurements.It is already well known from the literature that the entire space of TDI solutions can be generated out of the 4 combinations α, β, γ, and ζ, at least under the approximation of three different but constant constellation arms (1st generation TDI). We apply this result to a core subset of the 2nd generation combinations reported in the literature, for which we compute explicitly how they can be approximated in terms of these 4 generators and show numerically that these approximations are accurate enough to model the noises not suppressed by TDI. Finally, we identify multiple possible 2nd generation representatives of α, β, γ, and ζ, and discuss which might be ideal to use for the LISA data analysis. In addition, we demonstrate that newly found variants of the variable ζ significantly out-perform the ones previously known from the literature.

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