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.
Fast Power Spectrum Estimation
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abstract
We present a new algorithm to rapidly and optimally compute power spectra. This new algorithm is based on a generalization of iterative multigrid, and has computational cost O(N log N), compared to the standard brute force approach which costs O(N^3). The procedure retains this speed on the full sky and for ill-conditioned matrices. It is applicable to galaxy power spectra, CMB, polarization and weak lensing data. We present a mathematical convergence analysis, and performance results.
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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.