volume | PIER Journals

Abstract

The visibility distribution, which is related to the configuration of stations, can be categorized into different features, each having different levels of data number density. A computationally efficient multi-feature image reconstruction algorithm, well adapted for next-generation telescopes, is proposed based on this observation, which is more flexible to handle massive amount of visibility data expected in the future. In reconstructing the M87 image with the visibility data simulated on the Low-Frequency Array (LOFAR), this algorithm turns out to be a few hundreds to one thousand times faster and is more resilient to noises than the conventional algorithms.

1. Thompson, A. R., J. M. Moran, and G. W. Swenson Jr., nterferometry and Synthesis in Radio Astronomy, 2nd Edition, Wiley-VCH, 2004.

2. Baars, J. W. M., L. R. D'Addario, and A. R. Thompson, "Radio astronomy in the early twenty-first century," Proc. IEEE, Vol. 97, No. 8, 1377-1381, Aug. 2009.
doi:10.1109/JPROC.2009.2022889 Google Scholar

3. Gull, S. F. and J. Skilling, "Maximum entropy method in image processing," IEE Proc. Commun. Radar Signal Process., Vol. 131, No. 6, 646-659, 1984.
doi:10.1049/ip-f-1.1984.0099 Google Scholar

4. Molina, R., J. Nunez, F. J. Cortijo, and J. Mateos, "Image restoration in astronomy: A Bayesian perspective," IEEE Signal Process. Mag., Vol. 18, No. 2, 11-29, 2001.
doi:10.1109/79.916318 Google Scholar

5. Chen, B.-D. and L. Amir, "Parametric high resolution techniques for radio astronomical imaging," IEEE J. Select. Topics Signal Process., Vol. 2, No. 5, 670-684, 2008.
doi:10.1109/JSTSP.2008.2005318 Google Scholar

6. Rau, U., S. Bhatnagar, M. A. Voronkov, and T. J. Cornwell, "Advances in calibration and imaging techniques in radio interferometry," Proc. IEEE, Vol. 97, No. 8, 1472-1481, Aug. 2009.
doi:10.1109/JPROC.2009.2014853 Google Scholar

7. Levanda, R. and A. Leshem, "Synthetic aperture radio telescopes," IEEE Trans. Signal Process., Vol. 27, No. 1, 14-29, Jan. 2010.
doi:10.1109/MSP.2009.934719 Google Scholar

8. Kundur, D. and D. Hztzinakos, "Blind image deconvolution," IEEE Signal Process. Mag., Vol. 13, No. 3, 43-64, May 1996.
doi:10.1109/79.489268 Google Scholar

9. Hogbom, J. A., "Aperture synthesis with a non-regular distribution of interferometers baselines," A & AS, Vol. 15, 417-426, 1974. Google Scholar

10. Cornwell, T. J., "Multiscale CLEAN deconvolution of radio synthesis images," IEEE J. Select. Topics Signal Process., Vol. 2, No. 5, 793-801, Oct. 2008.
doi:10.1109/JSTSP.2008.2006388 Google Scholar

11. Bobin, J., J.-L. Starck, and R. Ottensamer, "Compressed sensing in astronomy," IEEE J. Select. Topics Signal Process., Vol. 2, No. 5, 718-726, Oct. 2008.
doi:10.1109/JSTSP.2008.2005337 Google Scholar

12. Carrillo, R. E., J. D. McEwen, and Y. Wiaux, "Sparsity averaging reweighted analysis (SARA): A novel algorithm for radio-interferometric imaging," Mon. Not. Roy. Astronom. Soc., 591-594, Jun. 2012. Google Scholar

13. Carrillo, R. E., J. D. McEwen, D. van de Ville, J.-P. Thiran, and Y. Wiaux, "Sparsity averaging for compressive imaging," IEEE Signal Process. Lett., Vol. 20, No. 6, 591-594, Jun. 2013.
doi:10.1109/LSP.2013.2259813 Google Scholar

14. Carrillo, R. E., J. D. McEwen, and Y. Wiaux, "PURIFY: A new approach to radio-interferometric imaging," Mon. Not. Roy. Astronom. Soc., Vol. 439, No. 4, 3591-3604, Feb. 2014.
doi:10.1093/mnras/stu202 Google Scholar

15. Johnston, S., M. Bailes, N. Bartel, C. Baugh, et al. "Science with the Astralian square kilometre array pathfinder," Pub. Astronom. Soc. Australia, Vol. 24, 174-188, Dec. 2007.
doi:10.1071/AS07033 Google Scholar

16. Tingay, S. J., R. Goeke, J. D. Bowman, et al. "The Murchison widefield array: The square kilometre array precursor at low radio frequencies," Pub. Astronom. Soc. Australia, Vol. 30, e007, 2013. Google Scholar

17. Jonas, J. L., "MeerKAT --- The South African array with composite dishes and wide-band single pixel feeds," Proc. IEEE, Vol. 97, No. 8, 1522-1530, Aug. 2009.
doi:10.1109/JPROC.2009.2020713 Google Scholar

18. Fomalont, E. and M. Reid, "Microarcsecond astrometry using the SKA," New Astronomy Rev., Vol. 48, 1473-1482, Sep. 2004.
doi:10.1016/j.newar.2004.09.037 Google Scholar

19. Dewdney, P. E., P. J. Hall, R. T. Schilizzi, and T. J. L. W. Lazio, "The square kilometre array," Proc. IEEE, Vol. 97, No. 8, 1482-1496, Aug. 2009.
doi:10.1109/JPROC.2009.2021005 Google Scholar

20. Van Haarlem, M. P., M. W. Wise, et al. "LOFAR: The low-frequency array," Astron. Astrophys., Vol. 556, A2, Jul. 16, 2013. Google Scholar

21. Marco, D. V., W. G. Andre, and N. Ronald, "The LOFAR telescope: System architecture and signal processing," Proc. IEEE, Vol. 97, No. 8, 1431-1437, Aug. 2009.
doi:10.1109/JPROC.2009.2020509 Google Scholar

22. Stefan, J. W., "In situ antenna performance evaluation of the LOFAR phased array radio telescope," IEEE Trans. Antennas Propagat., Vol. 59, No. 6, 1981-1989, Jun. 2011.
doi:10.1109/TAP.2011.2122225 Google Scholar

23. Sutter, P. M., B. D. Wandelt, et al. "Probabilistic image reconstruction for radio interferometers," Mon. Not. Roy. Astronom. Soc., Vol. 438, No. 1, 768-778, Sep. 2013.
doi:10.1093/mnras/stt2244 Google Scholar

24. Cornwell, T. J., K. Golap, and S. Bhatnagar, "The non-coplanar baselines effect in radio interferometry: The W-projection algorithm," IEEE J. Select. Topics Signal Process., Vol. 2, No. 5, 647-657, Oct. 2008.
doi:10.1109/JSTSP.2008.2005290 Google Scholar

25. Thompson, A. and R. Bracewell, "Interpolation and Fourier transformation of fringe visibilities," Astron. J., Vol. 79, No. 1, 11V24, 1974. Google Scholar

26. Thiebaut, E. and J. F. Giovannelli, "Image reconstruction in optical interferometry using a general framework to formally describe and compare different methods," IEEE Signal Process. Mag., Vol. 27, No. 1, 97-109, Jan. 2010.
doi:10.1109/MSP.2009.934870 Google Scholar

27. De Gasperin, F., et al. "M87 at metre wavelengths: The LOFAR picture," Astron. Astrophys.,, Vol. 547, A56, Oct. 2012. Google Scholar

28. Griva, I., G. N. Stephen, and S. Ariela, Linear and Nonlinear Optimization, Ch. 13, Soc. Indust. Applied Math., 2009.
doi:10.1137/1.9780898717730

29. Serge, M. and M. M. Laurent, "Convex approximation to the likelihood criterion for aperture synthesis imaging," J. Opt. Soc. Am. A, Vol. 22, 2348-2356, Nov. 2005. Google Scholar

Dr. Mu-Min Chiou

Prof. Jean-Fu Kiang

Professor Raj Mittra