Statistics – Computation
Scientific paper
Oct 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cqgra..24..587n&link_type=abstract
Classical and Quantum Gravity, Volume 24, Issue 19, pp. S587-S594 (2007).
Statistics
Computation
3
Scientific paper
There exists a fundamental relation between the response of a moving detector, such as the Laser Interferometer Space Antenna (LISA), to the signals from a set of sources and the Radon transform of the unknown source density function. The tomographic approach (Mohanty and Nayak 2006 Phys. Rev. D 73 083006, Nayak et al 2006 Proc. 6th Int. LISA Symp.) is based on this relation and, using two successive Fourier transforms, can resolve unknown sources in both sky position and frequency. The amplitude/phase modulations due to the antenna pattern of LISA can be folded into this formalism (Nayak et al 2006 Proc. 6th Int. LISA Symp.) as can an arbitrary detector motion. We show how, by suitably combining TDI observables, both types of modulations lead to significant improvements in the raw resolving power of the method. Ongoing experiments with a variety of deconvolution methods will lead to a final pipeline. One candidate pipeline is applied to the Mock LISA Data Challenge (MLDC) data (challenge data 1.1.1 1.1.4) and the results regarding source position and frequency reconstruction as well as computational requirements are reported.
Hayama Kazuhiro
Mohanty Soumya D.
Nayak Rajesh K.
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