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This paper is concerned with the question of reconstructing a vector in a finite-dimensional complex Hilbert space when only the magnitudes of the coefficients of the vector under a redundant linear map are known.
F. Riesz and B. Sz. Nagy, Functional Analysis, Ungar Publications, 2nd Edition, New York, 1955
1955
Earlier work this paper cites.
B. Noble, Applied Linear Algebra, Prentice-Hall, Englewood Cliffs, NJ, 1969
1969
Earlier work this paper cites.
T.-Y. Lam, Algebraic Theory of Quadratic Forms, W A Benjamin, 1973
1973
Earlier work this paper cites.
P. R. Halmos, Finite-Dimensional Vector Space, reprint of the 2nd ed. published by Van Nostrand, Princeton, NJ, Springer-Verlag, 1974
1974
Earlier work this paper cites.
M. H. Hayes, J. S. Lim, and A. V. Oppenheim, Signal Reconstruction from Phase and Magnitude, IEEE Trans. ASSP 28(6) (1980), 672–680
1980
Earlier work this paper cites.
H. Nawab, T. F. Quatieri, and J. S. Lim, Signal Reconstruction from the Short-Time Fourier Transform Magnitude, in Proceedings of ICASSP 1984
1984
Earlier work this paper cites.
R.H. Bates and D. Mnyama, The status of practical fourier phase retrieval, in W.H. Hawkes, ed., Advances in Electronics and Electron Physics, 67 (1986), 1–64
1986
Earlier work this paper cites.
R. Bhatia, Matrix Analysis, Springer-Verlag, New York, 1997
1997
Earlier work this paper cites.
P. Casazza, The art of frame theory, Taiwanese J. Math., 4(2) (2000), 129–202
2000
Earlier work this paper cites.
P. Casazza and J. Kovačević, Equal-norm tight frames with erasures, Adv. Comp. Math. 18 (2003), 387–430
2003
Earlier work this paper cites.
P. G. Casazza and G. Kutyniok, Frames of subspaces, Wavelets, frames and operator theory, Contemp. Math., vol. 345, Amer. Math. Soc., Providence, RI, (2004), 87–113
2004
Earlier work this paper cites.
B. Simon, Orthogonal Polynomials on the Unit Circle. Part 2: Spectral Theory, AMS Colloquium Publications, vol. 54, 2004
2004
Cited alongside, same era.
R. Balan, P. Casazza, D. Edidin, On signal reconstruction without phase, Appl.Comput.Harmon.Anal. 20 (2006), 345–356
2006
Cited alongside, same era.
R. Balan, B. Bodmann, P. Casazza, D. Edidin, Painless reconstruction from Magnitudes of Frame Coefficients, J.Fourier Anal.Applic., 15(4) (2009), 488–501
2009
Cited alongside, same era.
R. Balan, On Signal Reconstruction from Its Spectrogram, Proceedings of the CISS Conference, Princeton NJ, May 2010
2010
Cited alongside, same era.
S. M. Kay, Fundamentals of Statistical Signal Processing. I. Estimation Theory, Prentice Hall PTR, 18th Printing, 2010
2010
Cited alongside, same era.
O. Raz, N. Dudovich, O. Raz, Vectorial Phase Retrieval of 1-D Signals, IEEE Trans. on Signal Processing, 61(7) (2013), 1632–1643
2013
Closest in time.
B. Alexeev, A. S. Bandeira, M. Fickus, D. G. Mixon, Phase retrieval with polarization, SIAM J. Imaging Sci., 7(1) (2014), 35–66
2014
Closest in time.
2014
Closest in time.
A. S. Bandeira, J. Cahill, D. Mixon, A. A. Nelson, Saving phase: Injectivity and Stability for phase retrieval, arXiv submission , arXiv: 1302.4618, Appl. Comp. Harm. Anal. 37(1) (2014), 106–125
2014
Closest in time.
B. G. Bodmann, N. Hammen, Stable Phase Retrieval with Low-Redundancy Frames, arXiv submission:1302.5487v1, Adv. Comput. Math., accepted 10 April 2014
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B. Alexeev, J. Cahill, D. G. Mixon, Full spark frames, J. Fourier Anal. Appl. 18 (2012), 1167–-1194
2012
Cited alongside, same era.
2012
Cited alongside, same era.
B. G. Bodmann, private communications, October 2012 and March 2013
2013
Cited alongside, same era.
E. Candés, T. Strohmer, V. Voroninski, PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming, Communications in Pure and Applied Mathematics vol. 66, 1241–1274 (2013)
2013
Cited alongside, same era.
E. Candés, Y. Eldar, T. Strohmer, V. Voloninski, Phase Retrieval via Matrix Completion Problem, SIAM J. Imaging Sci., 6(1) (2013), 199–-225
2013
Cited alongside, same era.
2013
Cited alongside, same era.
Cited in the paper.
2014
Closest in time.
2014
Closest in time.
2014
Closest in time.
2014
Closest in time.
F. Phillip, personal communication, Aug. 2014
2014
Closest in time.
A. Conca, D. Edidin, M. Hering, C. Vinzant, An algebraic characterization of injectivity in phase retrieval, Appl. Comput. Harmon. Anal. 38 (2015), 346–356
2015
Closest in time.