RADIO ASTRONOMICAL IMAGE DECONVOLUTION USING PROLATE SPHEROIDAL WAVE FUNCTIONS

Sarod Yatawatta*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)

Abstract

In order to produce high dynamic range images in radio interferometry, bright extended sources need to be removed with minimal error. However, this is not a trivial task because the Fourier plane is sampled only at a finite number of points. The ensuing deconvolution problem has been solved in many ways, mainly by algorithms based on CLEAN. However, such algorithms that use image pixels as basis functions have inherent limitations and by using an orthonormal basis that span the whole image, we can overcome them [1]. The construction of such an orthonormal basis involves fine tuning of many free parameters that define the basis functions. The optimal basis for a given problem (or a given extended source) is not guaranteed. In this paper, we discuss the use of generalized prolate spheroidal wave functions as a basis. Given the geometry (or the region of interest) of an extended source and the sampling points on the visibility plane, we can construct the optimal basis to model the source. Not only does this gives us the minimum number of basis functions required but also the artifacts outside the region of interest are minimized.

Original languageEnglish
Title of host publication2011 18TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING (ICIP)
Place of PublicationNEW YORK
PublisherIEEE (The Institute of Electrical and Electronics Engineers)
Number of pages4
ISBN (Print)978-1-4577-1303-3
Publication statusPublished - 2011
Event18th IEEE International Conference on Image Processing (ICIP) - , Belgium
Duration: 11-Sep-201114-Sep-2011

Publication series

NameIEEE International Conference on Image Processing ICIP
PublisherIEEE
ISSN (Print)1522-4880

Other

Other18th IEEE International Conference on Image Processing (ICIP)
CountryBelgium
Period11/09/201114/09/2011

Keywords

  • Radio astronomy
  • Radio interferometry
  • Deconvolution
  • FOURIER-ANALYSIS
  • UNCERTAINTY

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