Optimal filters on the sphere

Details Optimal filters on the sphere Optimal filters on the sphere

2006-12-22

arxiv.org/abs/astro-ph/0612688v2

IEEETrans.SignalProcess.56:3813-3823,2008

Astronomy and Astrophysics

Astrophysics

10 pages, 5 figures, replaced to match version accepted by IEEE Sig. Proc

Scientific paper

10.1109/TSP.2008.923198

We derive optimal filters on the sphere in the context of detecting compact objects embedded in a stochastic background process. The matched filter and the scale adaptive filter are derived on the sphere in the most general setting, allowing for directional template profiles and filters. The performance and relative merits of the two optimal filters are discussed. The application of optimal filter theory on the sphere to the detection of compact objects is demonstrated on simulated mock data. A naive detection strategy is adopted, with an initial aim of illustrating the application of the new optimal filters derived on the sphere. Nevertheless, this simple object detection strategy is demonstrated to perform well, even a low signal-to-noise ratio. Code written to compute optimal filters on the sphere (S2FIL), to perform fast directional filtering on the sphere (FastCSWT) and to construct the simulated mock data (COMB) are all made publicly available from http://www.mrao.cam.ac.uk/~jdm57/

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