Optimal combination of signals from colocated gravitational wave interferometers for use in searches for a stochastic background

Albert Lazzarini, Sukanta Bose, Peter Fritschel, Martin McHugh, Tania Regimbau, Kaice Reilly, Joseph D. Romano, John T. Whelan, Stan Whitcomb, Bernard F. Whiting

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Abstract

This article derives an optimal (i.e., unbiased, minimum variance) estimator for the pseudodetector strain for a pair of colocated gravitational wave interferometers (such as the pair of LIGO interferometers at its Hanford Observatory), allowing for possible instrumental correlations between the two detectors. The technique is robust and does not involve any assumptions or approximations regarding the relative strength of gravitational wave signals in the Hanford pair with respect to other sources of correlated instrumental or environmental noise. An expression is given for the effective power spectral density of the combined noise in the pseudodetector. This can then be introduced into the standard optimal Wiener filter used to cross-correlate detector data streams in order to obtain an optimal estimate of the stochastic gravitational wave background. In addition, a dual to the optimal estimate of strain is derived. This dual is constructed to contain no gravitational wave signature and can thus be used as an "off-source" measurement to test algorithms used in the "on-source" observation.

Original languageEnglish
Article number062001
Pages (from-to)062001-1-062001-12
JournalPhysical Review D
Volume70
Issue number6
DOIs
StatePublished - Sep 2004

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    Lazzarini, A., Bose, S., Fritschel, P., McHugh, M., Regimbau, T., Reilly, K., Romano, J. D., Whelan, J. T., Whitcomb, S., & Whiting, B. F. (2004). Optimal combination of signals from colocated gravitational wave interferometers for use in searches for a stochastic background. Physical Review D, 70(6), 062001-1-062001-12. [062001]. https://doi.org/10.1103/PhysRevD.70.062001