Compressive phase retrieval

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6701, Issue , 2007, Pages

  Moravec, Matthew L ^a   Romberg, Justin K ^b   Baraniuk, Richard G ^a  

^a Rice University

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Compressive sensing; Phase retrieval; Projection algorithms

Indexed keywords

COMPRESSIVE SENSING; FOURIER COEFFICIENTS; PHASE RETRIEVAL; PROJECTION ALGORITHMS;

ALGORITHMS; BANDWIDTH; FOURIER TRANSFORMS; PROBLEM SOLVING; RANDOM PROCESSES;

SIGNAL RECONSTRUCTION;

EID: 42149107098     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.736360     Document Type: Conference Paper

References (19)

1. D. Donoho, "Compressed sensing," IEEE Trans. Info. Theory 52(4), pp. 1289-1306, 2006.
2. E. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Info. Theory 52(2), pp. 489-509, 2006.
3. E. Candès and T. Tao, "Near optimal signal recovery from random projections and universal encoding strategies," IEEE Trans. Info. Theory 52(12), pp. 5406-5425, 2006.
4. D. Takhar, J. Laska, M. Wakin, M. Duarte, D. Baron, S. Sarvotham, K. Kelly, and R. Baraniuk, "A new compressive imaging camera architecture using optical-domain compression," in Proc. of Computational Imaging IV at SPIE Electronic Imaging, (San Jose), January 2006.
5. M. Lustig, J. Santos, J. Lee, D. Donoho, and J. Pauly, "Compressed sensing for rapid MR imaging," in Proceedings of Signal Processing with Adaptive Sparse Structured Representations (SPARS), (Rennes, France), 2005.
6. J. Laska, S. Kirolos, M. Duarte, T. Ragheb, R. Baraniuk, and Y. Massoud, "Theory and implementation of an analog-to-information converter using random demodulation," in Proc. IEEE Int. Symp. on Circuits and Systems (ISCAS), (New Orleans), May 2007.
7. J. R. Fienup, "Reconstruction of an object from the modulus of its Fourier transform," Optics Letters 3(1), pp. 27-29, July 1978.
8. J. R. Fienup, "Phase retrieval algorithms: a comparison," Applied Optics 21(15), pp. 2758-2769, August 1982.
9. W. Chan, M. Moravec, R. Baraniuk, and D. Mittleman, "Terahertz imaging with compressed sensing and phase retrieval," in CLEO-2007, May 2007.
10. S. Chen, D. Donoho, and M. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Sci. Comp. 20(1), pp. 33-61, 1998.
11. E. Candes and J. Romberg, "Stable signal recovery from incomplete observations," in Proc. SPIE 5914, 59140S, 2005.
12. J. R. Fienup, "Lensless coherent imaging by phase retrieval with an illumination pattern constraint," Optics Express 14(2), pp. 498-508, 2006.
13. M. H. Hayes, "The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform," IEEE Trans. ASSP ASSP-30(2), pp. 140-154, 1982.
14. M. H. Hayes and J. H. McClellan, "Reducible polynomials in more than one variable," Proc. IEEE 70(2), pp. 197-198, 1982.
15. H. He, "Simple constraint for phase retrieval with high efficiency," J. Opt. Soc. Am. A 23, pp. 550-556, 2006.
16. J. R. Fienup and C. C. Wackerman, "Phase-retrieval stagnation problems and solutions," J. Opt. Soc. Am. A 3, pp. 1897-1907, 1986.
17. S. Marchesini, "A unified evaluation of iterative projection algorithms for phase retrieval," Rev. Sci. Instrum 78, 2007.
18. D. R. Luke, "Relaxed averaged alternating reflections for diffraction imaging," Inverse Problems 21, pp. 37-50, 2005.
19. I. Daubechies, M. Defrise, and C. D. Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Comm. Pure Appl. Math. 57(11), pp. 1413-1457, 2004.