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#### Resampling to accelerate cross-correlation searches for continuous gravitational waves from binary systems

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1712.06515.pdf

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##### Citation

Meadors, G. D., Krishnan, B., Papa, M. A., Whelan, J. T., & Zhang, Y. (2018). Resampling
to accelerate cross-correlation searches for continuous gravitational waves from binary systems.* Physical
Review D,* *97*: 044017. doi:10.1103/PhysRevD.97.044017.

Cite as: https://hdl.handle.net/21.11116/0000-0000-3C14-7

##### Abstract

Continuous-wave (CW) gravitational-waves (GWs) require

computationally-intensive methods. Low signal-to-noise ratio signals need

templated searches with long coherent integration times and thus fine

parameter-space resolution. Longer integration increases sensitivity. Low-Mass

X-ray Binaries (LMXBs) such as Scorpius X-1 (Sco X-1) may emit accretion-driven

CWs at strains reachable by current ground-based observatories. Binary orbital

parameters induce phase modulation. This paper describes how resampling

corrects binary and detector motion, yielding source-frame times series used

for cross-correlation. Compared to the previous, detector-frame, templated

cross-correlation method, used for Sco X-1 on data from the first Advanced LIGO

observing run (O1), resampling is about 20x faster in the costliest,

most-sensitive frequency bands. Speed-up factors depend on integration time and

search set-up. The speed could be reinvested into longer integration with a

forecast sensitivity gain, 20 to 125 Hz median, of approximately 51%, or from

20 to 250 Hz, 11%, given the same per-band cost and set-up. This paper's timing

model enables future set-up optimization. Resampling scales well with longer

integration, and at 10x unoptimized cost could reach respectively 2.83x and

2.75x median sensitivities, limited by spin-wandering. Then an O1 search could

yield a marginalized-polarization upper limit reaching torque-balance at 100

Hz. Frequencies from 40 to 140 Hz might be probed in equal observing time with

2x improved detectors.

computationally-intensive methods. Low signal-to-noise ratio signals need

templated searches with long coherent integration times and thus fine

parameter-space resolution. Longer integration increases sensitivity. Low-Mass

X-ray Binaries (LMXBs) such as Scorpius X-1 (Sco X-1) may emit accretion-driven

CWs at strains reachable by current ground-based observatories. Binary orbital

parameters induce phase modulation. This paper describes how resampling

corrects binary and detector motion, yielding source-frame times series used

for cross-correlation. Compared to the previous, detector-frame, templated

cross-correlation method, used for Sco X-1 on data from the first Advanced LIGO

observing run (O1), resampling is about 20x faster in the costliest,

most-sensitive frequency bands. Speed-up factors depend on integration time and

search set-up. The speed could be reinvested into longer integration with a

forecast sensitivity gain, 20 to 125 Hz median, of approximately 51%, or from

20 to 250 Hz, 11%, given the same per-band cost and set-up. This paper's timing

model enables future set-up optimization. Resampling scales well with longer

integration, and at 10x unoptimized cost could reach respectively 2.83x and

2.75x median sensitivities, limited by spin-wandering. Then an O1 search could

yield a marginalized-polarization upper limit reaching torque-balance at 100

Hz. Frequencies from 40 to 140 Hz might be probed in equal observing time with

2x improved detectors.