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Volumn 66, Issue 8, 2013, Pages 1241-1274

PhaseLift: Exact and stable signal recovery from magnitude measurements via convex programming

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EID: 84878420841     PISSN: 00103640     EISSN: 10970312     Source Type: Journal    
DOI: 10.1002/cpa.21432     Document Type: Article
Times cited : (1245)

References (21)
  • 1
    • 42149168142 scopus 로고    scopus 로고
    • Fast algorithms for signal reconstruction without phase
    • Wavelets XII, 67011L-67011L-9. doi: 10.1117/12.731117
    • Balan, R. ; Bodmann, B. G. ; Casazza, P. G. ; Edidin, D. Fast algorithms for signal reconstruction without phase. Proc. SPIE 6701 (2007), Wavelets XII, 67011L-67011L-9. doi: 10.1117/12.731117
    • (2007) Proc. SPIE , vol.6701
    • Balan, R.1    Bodmann, B.G.2    Casazza, P.G.3    Edidin, D.4
  • 2
    • 70350294671 scopus 로고    scopus 로고
    • Painless reconstruction from magnitudes of frame coefficients
    • 4
    • Balan, R. ; Bodmann, B. G. ; Casazza, P. G. ; Edidin, D. Painless reconstruction from magnitudes of frame coefficients. J. Fourier Anal. Appl. 15 (2009), no. 4, 488-501.
    • (2009) J. Fourier Anal. Appl. , vol.15 , pp. 488-501
    • Balan, R.1    Bodmann, B.G.2    Casazza, P.G.3    Edidin, D.4
  • 3
    • 33646095282 scopus 로고    scopus 로고
    • On signal reconstruction without noisy phase
    • Balan, R. ; Casazza, P. ; Edidin, D. On signal reconstruction without noisy phase. Appl. Comp. Harm. Anal. 20 (2006), 345-356.
    • (2006) Appl. Comp. Harm. Anal. , vol.20 , pp. 345-356
    • Balan, R.1    Casazza, P.2    Edidin, D.3
  • 4
    • 84881339256 scopus 로고    scopus 로고
    • Computational study and comparisons of LFT reducibilitymethods
    • doi: 10.1109/ACC.1998.703562
    • Beck, C. ; D'Andrea, R. Computational study and comparisons of LFT reducibilitymethods. Proceedings of the 1998 American Control Conference (Philadelphia, 1998(, vol. 2, 1013-1017. doi: 10.1109/ACC.1998.703562
    • (1998) Proceedings of the 1998 American Control Conference (Philadelphia , vol.2 , pp. 1013-1017
    • Beck, C.1    D'Andrea, R.2
  • 5
    • 84856004485 scopus 로고    scopus 로고
    • Templates for convex cone problems with applications to sparse signal recovery
    • Becker, S. R. ; Candès, E. ; Grant, M. C. Templates for convex cone problems with applications to sparse signal recovery. Math. Program. Comput. 3 (2011), no. 3, 165-218.
    • (2011) Math. Program. Comput. , vol.3 , Issue.3 , pp. 165-218
    • Becker, S.R.1    Candès, E.2    Grant, M.C.3
  • 8
    • 77952741387 scopus 로고    scopus 로고
    • Matrix completion with noise
    • Candès, E. J. ; Plan, Y. Matrix completion with noise. Proc. IEEE 98 (2010), no. 6, 925-936.
    • (2010) Proc. IEEE , vol.98 , Issue.6 , pp. 925-936
    • Candès, E.J.1    Plan, Y.2
  • 9
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • Candès, E. J. ; Tao, T. Decoding by linear programming. IEEE Trans. Inform. Theory 51 (2005), no. 12, 4203-4215.
    • (2005) IEEE Trans. Inform. Theory , vol.51 , Issue.12 , pp. 4203-4215
    • Candès, E.J.1    Tao, T.2
  • 10
    • 78651371178 scopus 로고    scopus 로고
    • Array imaging using intensity-only measurements
    • 015005, 16
    • Chai, A. ; Moscoso, M. ; Papanicolaou, G. Array imaging using intensity-only measurements. Inverse Problems 27 (2011), no. 1, 015005, 16 pp.
    • (2011) Inverse Problems , vol.27 , pp. 1
    • Chai, A.1    Moscoso, M.2    Papanicolaou, G.3
  • 11
    • 0014751986 scopus 로고
    • The rotation of eigenvectors by a perturbation. III
    • Davis, C. ; Kahan, W. M. The rotation of eigenvectors by a perturbation. III. SIAM J. Numer. Anal. 7 (1970), 1-46.
    • (1970) SIAM J. Numer. Anal. , vol.7 , pp. 1-46
    • Davis, C.1    Kahan, W.M.2
  • 12
    • 37649026533 scopus 로고    scopus 로고
    • Pure-state informationally complete and "really" complete measurements
    • 70 no., part A, 052107, 3
    • Finkelstein, J. Pure-state informationally complete and "really" complete measurements. Phys. Rev. A (3) 70 (2004), no. 5, part A, 052107, 3 pp.
    • (2004) Phys. Rev. A , vol.3 , Issue.5
    • Finkelstein, J.1
  • 13
    • 79951886985 scopus 로고    scopus 로고
    • Recovering low-rank matrices from few coefficients in anybasis
    • Gross, D. Recovering low-rank matrices from few coefficients in anybasis. IEEE Trans. Inform. Theory 57 (2011), no. 3, 1548-1566.
    • (2011) IEEE Trans. Inform. Theory , vol.57 , Issue.3 , pp. 1548-1566
    • Gross, D.1
  • 14
    • 77957565242 scopus 로고    scopus 로고
    • Quantum-state tomography via compressed sensing
    • doi: 10.1103/PhysRevLett.105.150401
    • Gross, D. ; Liu, Y.-K. ; Flammia, S. T. ; Becker, S. ; Eisert, J. Quantum-state tomography via compressed sensing. Phys. Rev. Lett. 105 (2010), no. 15, 4 pp. doi: 10.1103/PhysRevLett.105.150401
    • (2010) Phys. Rev. Lett. , vol.105 , Issue.15 , pp. 4
    • Gross, D.1    Liu, Y.-K.2    Flammia, S.T.3    Becker, S.4    Eisert, J.5
  • 15
    • 84878397560 scopus 로고
    • Mathematics and Its Applications
    • Kluwer, Dordrecht
    • Hurt, N. E. Phase retrieval and zero crossings. Mathematics and Its Applications, 52. Kluwer, Dordrecht, 1989.
    • (1989) Phase retrieval and zero crossings , vol.52
    • Hurt, N.E.1
  • 18
    • 0031079528 scopus 로고    scopus 로고
    • On the rank minimizationproblem over a positive semidefinite linear matrix inequality
    • Mesbahi, M. ; Papavassilopoulos, G. P. On the rank minimizationproblem over a positive semidefinite linear matrix inequality. IEEE Trans. Automat. Control 42 (1997), no. 2, 239-243.
    • (1997) IEEE Trans. Automat. Control , vol.42 , Issue.2 , pp. 239-243
    • Mesbahi, M.1    Papavassilopoulos, G.P.2
  • 19
    • 0004031920 scopus 로고    scopus 로고
    • Princeton Mathematical Series
    • Princeton University Press, Princeton, N. J.
    • Rockafellar, R. Convex analysis. Princeton Mathematical Series, 28. Princeton University Press, Princeton, N. J.
    • Convex analysis. , vol.28
    • Rockafellar, R.1
  • 20
    • 0026205083 scopus 로고
    • On phase retrieval of finite-lengthsequences using the initial time sample
    • Sahinoglou, H. ; Cabrera, S. D. On phase retrieval of finite-lengthsequences using the initial time sample. IEEE Transactions on Circuits and Systems 38 (1991), no. 5, 954-958.
    • (1991) IEEE Transactions on Circuits and Systems , vol.38 , Issue.5 , pp. 954-958
    • Sahinoglou, H.1    Cabrera, S.D.2
  • 21
    • 84857918539 scopus 로고    scopus 로고
    • Introduction to the non-asymptotic analysis of randommatrices
    • Edited by Y. C.Eldar and G.Kutyniok. Cambridge University Press, Cambridge New York
    • Vershynin, R. Introduction to the non-asymptotic analysis of randommatrices. Compressed Sensing: Theory and Applications. Edited by Y. C.Eldar and G.Kutyniok. Cambridge University Press, Cambridge New York, 2010.
    • (2010) Compressed Sensing: Theory and Applications.
    • Vershynin, R.1


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