Coherent map-making with pulsar distances in PTAs reaches diffraction-limited angular resolution of ~2 arcmin for GW sources at SNR=10 using roughly 9 pulsars.
J., & van Haasteren, R
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abstract
We describe a new method for extracting gravitational wave signals from pulsar timing data. We show that any gravitational wave signal can be decomposed into an orthogonal set of sky maps, with the number of maps equal to the number of pulsars in the timing array. These maps may be used as a basis to construct gravitational wave templates for any type of source, including collections of point sources. A variant of the standard Hellings-Downs correlation analysis is recovered for statistically isotropic signals. The template based approach allows us to probe potential anisotropies in the signal and produce maps of the gravitational wave sky.
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A new phase-coherent mapping framework for pulsar timing arrays that preserves the complete complex polarization state of the gravitational-wave sky in compact maps usable for multiple analyses.
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Reaching diffraction-limited localization with coherent PTAs
Coherent map-making with pulsar distances in PTAs reaches diffraction-limited angular resolution of ~2 arcmin for GW sources at SNR=10 using roughly 9 pulsars.
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A comprehensive framework for phase-coherent mapping of the gravitational-wave sky with pulsar timing arrays
A new phase-coherent mapping framework for pulsar timing arrays that preserves the complete complex polarization state of the gravitational-wave sky in compact maps usable for multiple analyses.