Deconvolution of VLBI images based on compressive sensing

Proceedings of the 2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009

Volumn 1, Issue , 2009, Pages 110-116

  Suksmono, Andriyan Bayu ^a  

^a BANDUNG INSTITUTE OF TECHNOLOGY   (Indonesia)

Author keywords

Basis pursuit; Clean; Compressive sensing; Deconvolution; Synthesis imaging; Very large array; VLBI

Indexed keywords

BASELINE INTERFEROMETRY; BASIS PURSUIT; BASIS PURSUITS; DECONVOLUTION ALGORITHM; DIRECT INVERSION; DISTORTED IMAGES; IMAGE DECONVOLUTION; IMAGING PROBLEMS; LEAST SQUARE; MAXIMUM ENTROPY METHODS; MEASURED DATA; RADIO GALAXIES; RADIO SOURCES; RANDOM SAMPLE; SAMPLING POINTS; SIMULATED IMAGES; SYNTHESIS IMAGING; VERY LARGE ARRAYS;

ASTRONOMICAL SATELLITES; CONVOLUTION; DECONVOLUTION; ELECTRICAL ENGINEERING; GALAXIES; RADIO ASTRONOMY; SIGNAL RECONSTRUCTION; TELESCOPES; VISIBILITY;

IMAGE RECONSTRUCTION;

EID: 70449657601     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICEEI.2009.5254805     Document Type: Conference Paper

References (23)

1. J.A. Högbom, "Aperture synthesis with a non-regular distribution of interferometer Baselines," Astron. and Astrophys. Supplement, Vol. 15, 1974, pp.417-426.
2. ET Jaynes, "Information theory and statistical mechanics", Physical Review, Vol. 106, No. 4, May 1957, pp 620-630.
3. B. R. Frieden, "Restoring with maximum likelihood and maximum entropy," J. Opt. Soc. Am., Vol. 62,. No. 4,. April. 1972, pp. 511-518
4. A.T. Bajkova, "Multi-frequency synthesis of VLBI images using a generalized maximum entropy method," Astronomy Reports, Vol. 52, No. 12, 2008, pp. 951-962.
5. D. Donoho, "Compressed sensing," IEEE Trans. Inform. Theory, Vol.52, No.4, 2006.
6. E. Candes and T. Tao, "Near optimal signal recovery from random projections: Universal encoding strategies?", IEEE Trans. Inform. Theory, vol. 52, No.12, pp.5406-5425, Dec. 2006.
7. M. Lustig, DL Donoho, JM Santos, and JM Pauly, "Compressed sensing MRI, " IEEE Sig. Processing Mag., March 2008, pp.72-82.
8. MF Duarte, MA Davenport, D. Takhar, JN Laska, T. Sun, KF Kelly, and RG Baraniuk, "Single-pixel imaging via compressive sampling," IEEE Sig. Processing Mag., March 2008, pp.72-82.
9. th Int. Conf. on Ground Penetr. Radar, June 16-19, 2008, Birmingham, UK.
10. B.G. Clark, "Chapter 1: Interferometers and coherence theory," in JA Zensus, PJ Diamond, and PJ Napier (Eds.), Very Long Baseline Interferometry and the VLBA, ASP Conferences Series, Vol.82, 1995.
11. T. Cornwell, "Chapter 3: Imaging concepts," in JA Zensus, PJ Diamond, and PJ Napier (Eds.), Very Long Baseline Interferometry and the VLBA, ASP Conferences Series, Vol.82, 1995.
12. DL Donoho & X. Huo, Uncertainty Principles and Ideal Atomic Decomposition, Tech. Report, Stanford University, June 1999.
13. M. Elad and A.M. Bruckstein, "A generalized uncertainty principle and sparse representation in pairs of bases", IEEE Trans. on Information Theory, Vol. 48, pp. 2558-2567, September 2002.
14. S.S. Chen, D. Donoho, and MA Saunders, "Atomic decomposition by basis pursuit," SIAM J. on Scientific Computing, 20(1):33-61, 1999. (Pubitemid 128689501)
15. E. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles : Exact signal recovery from highly incomplete information," IEEE Trans. Inform. Theory, Vol. 52, No. 2, pp.489-509, Feb 2006.
16. E. Candes and J. Romberg, "Sparsity and incoherence in compressive sampling, " Inverse Problem, Vol.23, No.3, pp.969-985, 2007.
17. S. D. Weston, Development of Very Long Baseline Interferometry (VLBI) Techniques in New Zealand: Array Simulation, Image Synthesis, and Analysis, M.Phil Thesis, Auckland Univ. of Technology, 2008.
18. P. Thomasson, D.J. Saikia, and T.W.B. Muxlow, "3C459: A highly asymmetric radio galaxy with a starburst," Mon. Not. R. Astron. Soc, 341, 2003, pp.91-99.
19. Y. Wiaux, L. Jacques, G. Puy, A.M.M. Scaife, and P. Vandergheynst, "Compressed sensing for radio interferometry: prior-enhanced Basis Pursuit imaging techniques," SPARS 2009, March. 2009.
20. Y. Wiaux, L. Jacques, G. Puy, A.M.M. Scaife, and P. Vandergheynst, "Compressed sensing imaging techniques for radio interferometry," Mon. Not. R. Astron. Soc, 000, 5 March, 2009, pp.1-10.
21. 1 Minimization", Proc. of the Nat. Acad. of Science, 4 March 2003, pp.2197-2202.
22. E. Candes and T. Tao, "Decoding by linear programming," IEEE Trans. Inform. Theory, Vol.51, No.12, Dec. 2005.
23. Briggs, D.S., High Fidelity Deconvolution of Moderately Resolved Sources, Ph.D. Thesis, New Mexico Inst. of Mining and Tech., 1995.