Built on

Justin A. Ellis, Xavier Siemens, and Rutger van Haasteren, “An Efficient Approximation to the Likelihood for Gravitational Wave Stochastic Background Detection Using Pulsar Timing Data,” Astrophys. J. 769
Original
1903
Earlier work this paper cites.
M. V. Sazhin, “Opportunities for detecting ultralong gravitational waves,” Soviet Ast. 22
1978
Earlier work this paper cites.
S. Detweiler, “Pulsar timing measurements and the search for gravitational waves,” Astrophys. J. 234
1979
Earlier work this paper cites.
Steven L. Detweiler, “Pulsar timing measurements and the search for gravitational waves,” Astrophys. J. 234
1979
Earlier work this paper cites.
J. M. Cordes, “Pulsar timing. II. Analysis of random walk timing noise : application to the Crab pulsar.” ApJ 237
1980
Earlier work this paper cites.
J. H. Taylor and J. M. Weisberg, “A new test of general relativity: Gravitational radiation and the binary pulsar PS R 1913+16,” Astrophys. J. 253
1982
Earlier work this paper cites.
R. w. Hellings and G. s. Downs, “UPPER LIMITS ON THE ISOTROPIC GRAVITATIONAL RADIATION BACKGROUND FROM PULSAR TIMING ANALYSIS,” Astrophys. J. 265
1983
Earlier work this paper cites.
R. Blandford, R. Narayan, and R. W. Romani, “Arrival-time analysis for a millisecond pulsar.” Journal of Astrophysics and Astronomy 5
1984
Earlier work this paper cites.
R. S. Foster and D. C. Backer, “Constructing a pulsar timing array,” Astrophys. J. 361
1990
Earlier work this paper cites.
Bruce Allen and Joseph D. Romano, “Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities,” Physical Review D 59
1999
Earlier work this paper cites.
Paul B. Demorest, Measuring the gravitational wave background using precision pulsar timing , Ph.D. thesis, University of California, Berkeley (2007)
2007
Earlier work this paper cites.
Rutger van Haasteren, Yuri Levin, Patrick McDonald, and Tingting Lu, “On measuring the gravitational-wave background using Pulsar Timing Arrays,” Mon. Not. Roy. Astron. Soc. 395
Original
2009
Earlier work this paper cites.
Melissa Anholm, Stefan Ballmer, Jolien D. E. Creighton, Larry R. Price, and Xavier Siemens, “Optimal strategies for gravitational wave stochastic background searches in pulsar timing data,” Phys. Rev. D79
Original
2009
Earlier work this paper cites.
D. R. B. Yardley, G. B. Hobbs, F. A. Jenet, J. P. W. Verbiest, Z. L. Wen, R. N. Manchester, W. A. Coles, W. van Straten, M. Bailes, N. D. R. Bhat, S. Burke-Spolaor, D. J. Champion, A. W. Hotan, and J. M. Sarkissian, “The sensitivity of the Parkes Pulsar Timing Array to individual sources of gravitational waves,” 407
Original
2010
Earlier work this paper cites.

Similar

George Hobbs, “Pulsars as gravitational wave detectors,” Astrophysics and Space Science Proceedings 21
Original
2011
Cited alongside, same era.
W. Coles, G. Hobbs, D. J. Champion, R. N. Manchester, and J. P. W. Verbiest, “Pulsar timing analysis in the presence of correlated noise,” MNRAS 418
Original
2011
Cited alongside, same era.
K. J. Lee, C. G. Bassa, G. H. Janssen, R. Karuppusamy, M. Kramer, R. Smits, and B. W. Stappers, “The optimal schedule for pulsar timing array observations,” MNRAS 423
Original
2012
Cited alongside, same era.
J. A. Ellis, X. Siemens, and J. D. E. Creighton, “Optimal strategies for continuous gravitational wave detection in pulsar timing arrays,” Astrophys. J. 756
Original
2012
Cited alongside, same era.
S. Babak and A. Sesana, “Resolving multiple supermassive black hole binaries with pulsar timing arrays,” Phys. Rev. D 85

Then

B. P. Abbott et al. (LIGO Scientific, Virgo), “Observation of Gravitational Waves from a Binary Black Hole Merger,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
K. J. Lee, “Prospects of Gravitational Wave Detection Using Pulsar Timing Array for Chinese Future Telescopes,” in Frontiers in Radio Astronomy and FAST Early Sciences Symposium 2015 , Astronomical Society of the Pacific Conference Series, Vol. 502, edited by L. Qain and D. Li (2016) p. 19
2016
Later among the works it cites.
R. N. Caballero, K. J. Lee, L. Lentati, G. Desvignes, D. J. Champion, J. P. W. Verbiest, G. H. Janssen, B. W. Stappers, M. Kramer, and P. Lazarus, “The noise properties of 42 millisecond pulsars from the European Pulsar Timing Array and their impact on gravitational-wave searches,” MNRAS 457
Original
2016
Later among the works it cites.
S. Babak, A. Petiteau, A. Sesana, P. Brem, P. A. Rosado, S. R. Taylor, A. Lassus, J. W. T. Hessels, C. G. Bassa, M. Burgay, R. N. Caballero, D. J. Champion, I. Cognard, G. Desvignes, J. R. Gair, L. Guillemot, G. H. Janssen, R. Karuppusamy, M. Kramer, P. Lazarus, K. J. Lee, L. Lentati, K. Liu, C. M. F. Mingarelli, S. Osłowski, D. Perrodin, A. Possenti, M. B. Purver, S. Sanidas, R. Smits, B. Stappers, G. Theureau, C. Tiburzi, R. van Haasteren, A. Vecchio, and J. P. W. Verbiest, “European Pulsar Timing Array limits on continuous gravitational waves from individual supermassive black hole binaries,” MNRAS 455

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2019

Realistic sensitivity curves for pulsar timing arrays

Hazboun, Jeffrey S., Romano, Joseph D., Smith, Tristan L.

Understand

We construct realistic sensitivity curves for pulsar timing array searches for gravitational waves, incorporating both red and white noise contributions to individual pulsar noise spectra, as well as the effect of fitting to a pulsar timing model.

We demonstrate the method on both simulated pulsars and a realistic array consisting of a subset of NANOGrav pulsars used in recent analyses.
A comparison between the results presented here and exact sensitivity curves shows agreement to tens of percent.
The resulting sensitivity curves can be used to assess the detectability of predicted gravitational-wave signals in the nanohertz frequency band in a fraction of the time that it would take to compute the exact sensitivity curves.

Built on

Justin A. Ellis, Xavier Siemens, and Rutger van Haasteren, “An Efficient Approximation to the Likelihood for Gravitational Wave Stochastic Background Detection Using Pulsar Timing Data,” Astrophys. J. 769
Original
1903
Earlier work this paper cites.
M. V. Sazhin, “Opportunities for detecting ultralong gravitational waves,” Soviet Ast. 22
1978
Earlier work this paper cites.
S. Detweiler, “Pulsar timing measurements and the search for gravitational waves,” Astrophys. J. 234
1979
Earlier work this paper cites.
Steven L. Detweiler, “Pulsar timing measurements and the search for gravitational waves,” Astrophys. J. 234
1979
Earlier work this paper cites.
J. M. Cordes, “Pulsar timing. II. Analysis of random walk timing noise : application to the Crab pulsar.” ApJ 237
1980
Earlier work this paper cites.
J. H. Taylor and J. M. Weisberg, “A new test of general relativity: Gravitational radiation and the binary pulsar PS R 1913+16,” Astrophys. J. 253
1982
Earlier work this paper cites.
R. w. Hellings and G. s. Downs, “UPPER LIMITS ON THE ISOTROPIC GRAVITATIONAL RADIATION BACKGROUND FROM PULSAR TIMING ANALYSIS,” Astrophys. J. 265
1983
Earlier work this paper cites.
R. Blandford, R. Narayan, and R. W. Romani, “Arrival-time analysis for a millisecond pulsar.” Journal of Astrophysics and Astronomy 5
1984
Earlier work this paper cites.
R. S. Foster and D. C. Backer, “Constructing a pulsar timing array,” Astrophys. J. 361
1990
Earlier work this paper cites.
Bruce Allen and Joseph D. Romano, “Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities,” Physical Review D 59
1999
Earlier work this paper cites.
Paul B. Demorest, Measuring the gravitational wave background using precision pulsar timing , Ph.D. thesis, University of California, Berkeley (2007)
2007
Earlier work this paper cites.
Rutger van Haasteren, Yuri Levin, Patrick McDonald, and Tingting Lu, “On measuring the gravitational-wave background using Pulsar Timing Arrays,” Mon. Not. Roy. Astron. Soc. 395
Original
2009
Earlier work this paper cites.
Melissa Anholm, Stefan Ballmer, Jolien D. E. Creighton, Larry R. Price, and Xavier Siemens, “Optimal strategies for gravitational wave stochastic background searches in pulsar timing data,” Phys. Rev. D79
Original
2009
Earlier work this paper cites.
D. R. B. Yardley, G. B. Hobbs, F. A. Jenet, J. P. W. Verbiest, Z. L. Wen, R. N. Manchester, W. A. Coles, W. van Straten, M. Bailes, N. D. R. Bhat, S. Burke-Spolaor, D. J. Champion, A. W. Hotan, and J. M. Sarkissian, “The sensitivity of the Parkes Pulsar Timing Array to individual sources of gravitational waves,” 407
Original
2010
Earlier work this paper cites.

Similar

George Hobbs, “Pulsars as gravitational wave detectors,” Astrophysics and Space Science Proceedings 21
Original
2011
Cited alongside, same era.
W. Coles, G. Hobbs, D. J. Champion, R. N. Manchester, and J. P. W. Verbiest, “Pulsar timing analysis in the presence of correlated noise,” MNRAS 418
Original
2011
Cited alongside, same era.
K. J. Lee, C. G. Bassa, G. H. Janssen, R. Karuppusamy, M. Kramer, R. Smits, and B. W. Stappers, “The optimal schedule for pulsar timing array observations,” MNRAS 423
Original
2012
Cited alongside, same era.
J. A. Ellis, X. Siemens, and J. D. E. Creighton, “Optimal strategies for continuous gravitational wave detection in pulsar timing arrays,” Astrophys. J. 756
Original
2012
Cited alongside, same era.
S. Babak and A. Sesana, “Resolving multiple supermassive black hole binaries with pulsar timing arrays,” Phys. Rev. D 85

Then

B. P. Abbott et al. (LIGO Scientific, Virgo), “Observation of Gravitational Waves from a Binary Black Hole Merger,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
K. J. Lee, “Prospects of Gravitational Wave Detection Using Pulsar Timing Array for Chinese Future Telescopes,” in Frontiers in Radio Astronomy and FAST Early Sciences Symposium 2015 , Astronomical Society of the Pacific Conference Series, Vol. 502, edited by L. Qain and D. Li (2016) p. 19
2016
Later among the works it cites.
R. N. Caballero, K. J. Lee, L. Lentati, G. Desvignes, D. J. Champion, J. P. W. Verbiest, G. H. Janssen, B. W. Stappers, M. Kramer, and P. Lazarus, “The noise properties of 42 millisecond pulsars from the European Pulsar Timing Array and their impact on gravitational-wave searches,” MNRAS 457
Original
2016
Later among the works it cites.
S. Babak, A. Petiteau, A. Sesana, P. Brem, P. A. Rosado, S. R. Taylor, A. Lassus, J. W. T. Hessels, C. G. Bassa, M. Burgay, R. N. Caballero, D. J. Champion, I. Cognard, G. Desvignes, J. R. Gair, L. Guillemot, G. H. Janssen, R. Karuppusamy, M. Kramer, P. Lazarus, K. J. Lee, L. Lentati, K. Liu, C. M. F. Mingarelli, S. Osłowski, D. Perrodin, A. Possenti, M. B. Purver, S. Sanidas, R. Smits, B. Stappers, G. Theureau, C. Tiburzi, R. van Haasteren, A. Vecchio, and J. P. W. Verbiest, “European Pulsar Timing Array limits on continuous gravitational waves from individual supermassive black hole binaries,” MNRAS 455

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

Xavier Siemens, Justin Ellis, Fredrick Jenet, and Joseph D. Romano, “The stochastic background: scaling laws and time to detection for pulsar timing arrays,” Classical and Quantum Gravity 30

Original

2013

Cited alongside, same era.

Eric Thrane and Joseph D. Romano, “Sensitivity curves for searches for gravitational-wave backgrounds,” Phys. Rev. D88

Original

2013

Cited alongside, same era.

D. R. Madison, S. Chatterjee, and J. M. Cordes, “The Benefits of VLBI Astrometry to Pulsar Timing Array Searches for Gravitational Radiation,” Astrophys. J. 777

Original

2013

Cited alongside, same era.

Rutger van Haasteren and Yuri Levin, “Understanding and analysing time-correlated stochastic signals in pulsar timing,” Mon. Not. Roy. Astron. Soc. 428

Original

2013

Cited alongside, same era.

Curt Cutler, Sarah Burke-Spolaor, Michele Vallisneri, Joseph Lazio, and Walid Majid, “The Gravitational-Wave Discovery Space of Pulsar Timing Arrays,” Phys. Rev. D89

Original

2014

Cited alongside, same era.

Z. Arzoumanian et al. (NANOGrav), “Gravitational Waves From Individual Supermassive Black Hole Binaries in Circular Orbits: Limits From the North American Nanohertz Observatory for Gravitational Waves,” Astrophys. J. 794

Original

2014

Cited alongside, same era.

P. A. Rosado, A. Sesana, and J. Gair, “Expected properties of the first gravitational wave signal detected with pulsar timing arrays,” MNRAS 451

Original

2015

Cited alongside, same era.

Original

2016