NDLI: Efficient computation of prolate spheroidal wave functions in radio astronomical source modeling

Content Provider	IEEE Xplore Digital Library
Author	Noorishad, P. Yatawatta, S.
Copyright Year	2011
Description	Author affiliation: Kapteyn Astronomical Institute, University of Groningen, Landleven 12, 9747 AV, The Netherlands (Noorishad, P.) \|\| ASTRON, Oude Hoogeveensedijk 4, 7991 PD, Dwingeloo, The Netherlands (Yatawatta, S.)
Abstract	The application of orthonormal basis functions such as Prolate Spheroidal Wave Functions (PSWF) for accurate source modeling in radio astronomy has been comprehensively studied. They are of great importance for high fidelity, high dynamic range imaging with new radio telescopes as well as conventional ones. But the construction of PSWF is computationally expensive compared to other closed form basis functions. In this paper, we suggest a solution to reduce its computational cost by more efficient construction of the matrix kernel which relates the image domain to visibility (or Fourier) domain. Radio astronomical images are mostly represented using a regular grid of rectangular pixels. This is required for efficient storage and display purposes and moreover, comes naturally as a by product of the Fast Fourier Transform (FFT) in imaging. We propose the use of Delaunay triangulation as opposed to regular gridding of an image for a finer selection of the region of interest (signal support) during the PSWF kernel construction. We show that the computational efficiency improves without loss of information. Once the PSWF basis is constructed using the irregular grid, we revert back to the regular grid by interpolation and thereafter, conventional imaging techniques can be applied.
Starting Page	326
Ending Page	330
File Size	2188244
Page Count	5
File Format	PDF
ISBN	9781467307529
e-ISBN	9781467307536
e-ISBN	9781467307512
DOI	10.1109/ISSPIT.2011.6151582
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-14
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Niobium Imaging Wave functions Radio interferometry Eigenvalues and eigenfunctions Deconvolution Vectors Radio astronomy
Content Type	Text
Resource Type	Article

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