메뉴 건너뛰기




Volumn 20, Issue 3, 2010, Pages 333-363

Singular value distribution of the propagation matrix in random scattering media

Author keywords

[No Author keywords available]

Indexed keywords

KEY PARAMETERS; MATRIX COEFFICIENTS; MATRIX ELEMENTS; PROPAGATION MATRIX; PROPAGATION OPERATORS; PULSED ULTRASONIC WAVE; RANDOM MATRIX THEORY; RANDOM MEDIA; RANDOM MEDIUM; RANDOM SCATTERING MEDIA; RANDOM SCATTERING MEDIUM; RESIDUAL CORRELATION; RESPONSE MATRICES; SCATTERING MEDIUM; SINGULAR VALUES; STATISTICAL PROPERTIES; THEORETICAL PREDICTION;

EID: 77954828659     PISSN: 17455030     EISSN: 17455049     Source Type: Journal    
DOI: 10.1080/17455030903499698     Document Type: Article
Times cited : (37)

References (64)
  • 2
    • 47349097050 scopus 로고    scopus 로고
    • Eigenvalue distributions of correlated multichannel transfer matrices in strongly scattering systems
    • R. Sprik, A. Tourin, J. de Rosny, and M. Fink, Eigenvalue distributions of correlated multichannel transfer matrices in strongly scattering systems, Phys. Rev. B 78 (2008), 012202.
    • (2008) Phys. Rev. B , vol.78 , pp. 012202
    • Sprik, R.1    Tourin, A.2    De Rosny, J.3    Fink, M.4
  • 3
    • 0036495795 scopus 로고    scopus 로고
    • Capacity scaling in MIMO wireless systems under correlated fading
    • C.-N. Nuah, D. Tse, J. Kahn, and R. Valenzuela, Capacity scaling in MIMO wireless systems under correlated fading, IEEE T. Inform. Theory 48 (2002), pp. 637-650.
    • (2002) IEEE T. Inform. Theory , vol.48 , pp. 637-650
    • Nuah, C.-N.1    Tse, D.2    Kahn, J.3    Valenzuela, R.4
  • 4
    • 0242302514 scopus 로고    scopus 로고
    • MIMO capacity through correlated channels in the presence of correlated interferers and noise: A (not so) large N analysis
    • A. Moustakas, S. Simon, and A. Sengupta, MIMO capacity through correlated channels in the presence of correlated interferers and noise: A (not so) large N analysis, IEEE T. Inform. Theory 49 (2003), pp. 2545-2561.
    • (2003) IEEE T. Inform. Theory , vol.49 , pp. 2545-2561
    • Moustakas, A.1    Simon, S.2    Sengupta, A.3
  • 5
    • 52149094524 scopus 로고    scopus 로고
    • Universal optimal transmission of light through disordered materials
    • I.M. Vellekoop and A.P. Mosk, Universal optimal transmission of light through disordered materials, Phys. Rev. Lett. 101 (2008), 120601.
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 120601
    • Vellekoop, I.M.1    Mosk, A.P.2
  • 6
    • 0002808336 scopus 로고
    • Universality classes and fluctuations in disordered systems
    • J.B. Pendry, A.M. Kinnon, and P.J. Roberts, Universality classes and fluctuations in disordered systems, Proc. Roy. Soc. A 437 (1992), pp. 67-83.
    • (1992) Proc. Roy. Soc. A , vol.437 , pp. 67-83
    • Pendry, J.B.1    Kinnon, A.M.2    Roberts, P.J.3
  • 7
    • 0028496792 scopus 로고
    • Eigenmodes of the time-reversal operator: A solution to selective focusing in multiple-target media
    • C. Prada and M. Fink, Eigenmodes of the time-reversal operator: a solution to selective focusing in multiple-target media, Wave Motion 20 (1994), pp. 151-163.
    • (1994) Wave Motion , vol.20 , pp. 151-163
    • Prada, C.1    Fink, M.2
  • 8
    • 0029974565 scopus 로고    scopus 로고
    • Decomposition of the time reversal operator: Application to detection and selective focusing on two scatterers
    • C. Prada, S. Manneville, D. Poliansky, and M. Fink, Decomposition of the time reversal operator: Application to detection and selective focusing on two scatterers, J. Acoust. Soc. Am. 99 (1996), pp. 2067-2076.
    • (1996) J. Acoust. Soc. Am. , vol.99 , pp. 2067-2076
    • Prada, C.1    Manneville, S.2    Poliansky, D.3    Fink, M.4
  • 9
    • 0037490810 scopus 로고    scopus 로고
    • Experimental subwavelength localization of scatterers by decomposition of the time reversal operator interpreted as a covariance matrix
    • C. Prada and J.-L. Thomas, Experimental subwavelength localization of scatterers by decomposition of the time reversal operator interpreted as a covariance matrix, J. Acoust. Soc. Am. 114 (2003), pp. 235-243.
    • (2003) J. Acoust. Soc. Am. , vol.114 , pp. 235-243
    • Prada, C.1    Thomas, J.-L.2
  • 10
    • 33747046982 scopus 로고    scopus 로고
    • Multiple scattering between two elastic cylinders and invariants of the time-reversal operator: Theory and experiment
    • J.-G. Minonzio, C. Prada, A. Aubry, and M. Fink, Multiple scattering between two elastic cylinders and invariants of the time-reversal operator: Theory and experiment, J. Acoust. Soc. Am. 120 (2006), pp. 875-883.
    • (2006) J. Acoust. Soc. Am. , vol.120 , pp. 875-883
    • Minonzio, J.-G.1    Prada, C.2    Aubry, A.3    Fink, M.4
  • 11
    • 33746307515 scopus 로고    scopus 로고
    • Adaptative interferometric imaging in clutter and optimal illumination
    • L. Borcea, G. Papanicolaou, and C. Tsogka, Adaptative interferometric imaging in clutter and optimal illumination, Inverse Probl. 22 (2006), pp. 1405-1436.
    • (2006) Inverse Probl , vol.22 , pp. 1405-1436
    • Borcea, L.1    Papanicolaou, G.2    Tsogka, C.3
  • 12
    • 0032890537 scopus 로고    scopus 로고
    • Highly resolved detection and selective focusing in a waveguide using the d.o.r.t method
    • N. Mordant, C. Prada, and M. Fink, Highly resolved detection and selective focusing in a waveguide using the d.o.r.t method, J. Acoust. Soc. Am. 105 (1999), pp. 2634-2642.
    • (1999) J. Acoust. Soc. Am. , vol.105 , pp. 2634-2642
    • Mordant, N.1    Prada, C.2    Fink, M.3
  • 13
    • 0036313588 scopus 로고    scopus 로고
    • Time reversed reverberation focusing in a waveguide
    • J.F. Lingevitch, H.C. Song, and W.A. Kuperman, Time reversed reverberation focusing in a waveguide, J. Acoust. Soc. Am. 111 (2002), pp. 2609-2614.
    • (2002) J. Acoust. Soc. Am. , vol.111 , pp. 2609-2614
    • Lingevitch, J.F.1    Song, H.C.2    Kuperman, W.A.3
  • 14
    • 1642458117 scopus 로고    scopus 로고
    • Wideband time-reversal imaging of an elastic target in an acoustic waveguide
    • L. Carin, H. Liu, T. Yoder, L. Couchman, B. Houston, and J. Bucaro, Wideband time-reversal imaging of an elastic target in an acoustic waveguide, J. Acoust. Soc. Am. 115 (2004), pp. 259-268.
    • (2004) J. Acoust. Soc. Am. , vol.115 , pp. 259-268
    • Carin, L.1    Liu, H.2    Yoder, T.3    Couchman, L.4    Houston, B.5    Bucaro, J.6
  • 15
    • 0037336281 scopus 로고    scopus 로고
    • Imaging the presence of grain noise using the decomposition of the time reversal operator
    • E. Kerbrat, C. Prada, D. Cassereau, and M. Fink, Imaging the presence of grain noise using the decomposition of the time reversal operator, J. Acoust. Soc. Am. 113 (2003), pp. 1230-1240.
    • (2003) J. Acoust. Soc. Am. , vol.113 , pp. 1230-1240
    • Kerbrat, E.1    Prada, C.2    Cassereau, D.3    Fink, M.4
  • 18
    • 0032632391 scopus 로고    scopus 로고
    • Decomposition of the time reversal operator for electromagnetic scattering
    • H. Tortel, G. Micolau, and M. Saillard, Decomposition of the time reversal operator for electromagnetic scattering, J. Electromag. Waves Appl. 13 (1999), pp. 687-719.
    • (1999) J. Electromag. Waves Appl. , vol.13 , pp. 687-719
    • Tortel, H.1    Micolau, G.2    Saillard, M.3
  • 19
    • 0141675952 scopus 로고    scopus 로고
    • DORT method as applied to ultrawideband signals for detection of buried objects
    • G. Micolau, M. Saillard, and P. Borderies, DORT method as applied to ultrawideband signals for detection of buried objects, IEEE T. Geosci. Remote 41 (2003), pp. 1813-1820.
    • (2003) IEEE T. Geosci. Remote , vol.41 , pp. 1813-1820
    • Micolau, G.1    Saillard, M.2    Borderies, P.3
  • 20
    • 34548650036 scopus 로고    scopus 로고
    • Multi-static response matrix of a 3-D inclusion in a half space and MUSIC imaging
    • E. Iakovleva, S. Gdoura, D. Lesselier, and G. Perrusson, Multi-static response matrix of a 3-D inclusion in a half space and MUSIC imaging, IEEE T. Antenn. Propag. 55 (2007), pp. 2598-2609.
    • (2007) IEEE T. Antenn. Propag. , vol.55 , pp. 2598-2609
    • Iakovleva, E.1    Gdoura, S.2    Lesselier, D.3    Perrusson, G.4
  • 21
    • 41649090206 scopus 로고    scopus 로고
    • Multistatic response matrix of spherical scatterers and the back-propagation of singular fields
    • E. Iakoleva and D. Lesselier, Multistatic response matrix of spherical scatterers and the back-propagation of singular fields, IEEE T. Antenn. Propag. 56 (2008), pp. 825-833.
    • (2008) IEEE T. Antenn. Propag. , vol.56 , pp. 825-833
    • Iakoleva, E.1    Lesselier, D.2
  • 22
    • 0042706753 scopus 로고    scopus 로고
    • Radar remote sensing of forest at low frequencies: A two dimensional full wave approach
    • D. de Badereau, H. Roussel, and W. Tabbara, Radar remote sensing of forest at low frequencies: a two dimensional full wave approach, J. Electromag. Waves Appl. 17 (2003), pp. 921-949.
    • (2003) J. Electromag. Waves Appl. , vol.17 , pp. 921-949
    • De Badereau, D.1    Roussel, H.2    Tabbara, W.3
  • 23
    • 33645654486 scopus 로고    scopus 로고
    • A coherent model of forest scattering and SAR imaging in the VHF and UHF band
    • H. Nguyen, H. Roussel, and W. Tabbara, A coherent model of forest scattering and SAR imaging in the VHF and UHF band, IEEE T. Geosci. Remote 44 (2006), pp. 838-848.
    • (2006) IEEE T. Geosci. Remote , vol.44 , pp. 838-848
    • Nguyen, H.1    Roussel, H.2    Tabbara, W.3
  • 24
    • 42549165577 scopus 로고    scopus 로고
    • A coherent model of forest propagation - Application to detection and localisation of targets using the DORT method
    • Y. Ziadé , H. Roussel, M. Lesturgie, and W. Tabbara, A coherent model of forest propagation - Application to detection and localisation of targets using the DORT method, IEEE T. Antenn. Propag. 56 (2008), pp. 1048-1057.
    • (2008) IEEE T. Antenn. Propag. , vol.56 , pp. 1048-1057
    • Ziadé, Y.1    Roussel, H.2    Lesturgie, M.3    Tabbara, W.4
  • 26
    • 6144224035 scopus 로고    scopus 로고
    • Symmetry breaking and spectral statistics of acoustic resonances in quartz blocks
    • C. Ellegaard, T. Guhr, K. Lindemann, J. Nygard, and M. Oxborrow, Symmetry breaking and spectral statistics of acoustic resonances in quartz blocks, Phys. Rev. Lett. 77 (2003), pp. 4918-4921.
    • (2003) Phys. Rev. Lett. , vol.77 , pp. 4918-4921
    • Ellegaard, C.1    Guhr, T.2    Lindemann, K.3    Nygard, J.4    Oxborrow, M.5
  • 27
    • 0000044667 scopus 로고
    • Eigenvalues of covariance matrices: Application to neural-network learning
    • Y.L. Cun, I. Kanter, and S.A. Solla, Eigenvalues of covariance matrices: Application to neural-network learning, Phys. Rev. Lett. 66 (1991), pp. 2396-2399.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2396-2399
    • Cun, Y.L.1    Kanter, I.2    Solla, S.A.3
  • 29
    • 0000249632 scopus 로고    scopus 로고
    • Distribution of singular values for some random matrices
    • A.M. Sengupta and P.P. Mitra, Distribution of singular values for some random matrices, Phys. Rev. E 60 (1999), pp. 3389-3392.
    • (1999) Phys. Rev. E , vol.60 , pp. 3389-3392
    • Sengupta, A.M.1    Mitra, P.P.2
  • 30
    • 0035641726 scopus 로고    scopus 로고
    • On the distribution of the largest eigenvalue in principal components analysis
    • I. Johnstone, On the distribution of the largest eigenvalue in principal components analysis, Ann. Statist. 29 (2001), pp. 295-327.
    • (2001) Ann. Statist. , vol.29 , pp. 295-327
    • Johnstone, I.1
  • 31
    • 62349116164 scopus 로고    scopus 로고
    • Spectrum estimation for large dimensional covariance matrices using random matrix theory
    • N. El-Karoui, Spectrum estimation for large dimensional covariance matrices using random matrix theory, Ann. Statist. 36 (2008), pp. 2757-2790.
    • (2008) Ann. Statist. , vol.36 , pp. 2757-2790
    • El-Karoui, N.1
  • 32
    • 61649089310 scopus 로고    scopus 로고
    • Random matrix theory applied to acoustic backscattering and imaging in complex media
    • A. Aubry and A. Derode, Random matrix theory applied to acoustic backscattering and imaging in complex media, Phys. Rev. Lett. 102 (2009), 084301.
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 084301
    • Aubry, A.1    Derode, A.2
  • 33
    • 0000263234 scopus 로고
    • Distributions of eigenvalues for some sets of random matrices
    • V. Marćenko and L. Pastur, Distributions of eigenvalues for some sets of random matrices, Math. USSR-Sbornik 1 (1967), pp. 457-483.
    • (1967) Math. USSR-Sbornik , vol.1 , pp. 457-483
    • Marćenko, V.1    Pastur, L.2
  • 34
    • 33748690315 scopus 로고    scopus 로고
    • Influence of correlations between scatterers on the attenuation of the coherent wave in a random medium
    • A. Derode, V. Mamou, and A. Tourin, Influence of correlations between scatterers on the attenuation of the coherent wave in a random medium, Phys. Rev. E 74 (2006), 036606.
    • (2006) Phys. Rev. E , vol.74 , pp. 036606
    • Derode, A.1    Mamou, V.2    Tourin, A.3
  • 35
    • 0021479756 scopus 로고
    • Retroreflectance from a dense distribution of spherical particles
    • Y. Kuga and A. Ishimaru, Retroreflectance from a dense distribution of spherical particles, J. Opt. Soc. Am. A 1 (1984), pp. 831-835.
    • (1984) J. Opt. Soc. Am. A , vol.1 , pp. 831-835
    • Kuga, Y.1    Ishimaru, A.2
  • 36
    • 4243537971 scopus 로고
    • Coherent backscattering of light by disordered media: Analysis of the peak line shape
    • E. Akkermans, P.-E. Wolf, and R. Maynard, Coherent backscattering of light by disordered media: Analysis of the peak line shape, Phys. Rev. Lett. 56 (1986), pp. 1471-1474.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1471-1474
    • Akkermans, E.1    Wolf, P.-E.2    Maynard, R.3
  • 37
    • 0000004829 scopus 로고
    • Weak localization and coherent backscattering of photons in disordered Media
    • P.-E. Wolf and G. Maret, Weak localization and coherent backscattering of photons in disordered Media, Phys. Rev. Lett. 55 (1985), pp. 2696-2699.
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2696-2699
    • Wolf, P.-E.1    Maret, G.2
  • 39
    • 0033890246 scopus 로고    scopus 로고
    • Transport parameters for an ultrasonic pulsed wave propagating in a multiple scattering medium
    • A. Tourin, A. Derode, A. Peyre, and M. Fink, Transport parameters for an ultrasonic pulsed wave propagating in a multiple scattering medium, J. Acoust. Soc. Am. 108 (2000), pp. 503-512.
    • (2000) J. Acoust. Soc. Am. , vol.108 , pp. 503-512
    • Tourin, A.1    Derode, A.2    Peyre, A.3    Fink, M.4
  • 40
    • 33846886968 scopus 로고    scopus 로고
    • Ultrasonic imaging of highly scattering media from local measurements of the diffusion constant: Separation of coherent and incoherent intensities
    • A. Aubry and A. Derode, Ultrasonic imaging of highly scattering media from local measurements of the diffusion constant: separation of coherent and incoherent intensities, Phys. Rev. E 75 (2007), 026602.
    • (2007) Phys. Rev. E , vol.75 , pp. 026602
    • Aubry, A.1    Derode, A.2
  • 44
    • 0031049481 scopus 로고    scopus 로고
    • Partial coherence of transient ultrasonic fields in anisotropic random media: Application to coherent echo detection
    • A. Derode and M. Fink, Partial coherence of transient ultrasonic fields in anisotropic random media: Application to coherent echo detection, J. Acoust. Soc. Am. 101 (1997), pp. 690-704.
    • (1997) J. Acoust. Soc. Am. , vol.101 , pp. 690-704
    • Derode, A.1    Fink, M.2
  • 45
    • 0000613407 scopus 로고
    • Experimental evidence for recurrent multiple scattering events of light in disordered media
    • D.S. Wiersma, M.P. Van Albada, B.A. Van Tiggelen, and A. Lagendijk, Experimental evidence for recurrent multiple scattering events of light in disordered media, Phys. Rev. Lett. 74 (1995), pp. 4193-4196.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 4193-4196
    • Wiersma, D.S.1    Van Albada, M.P.2    Van Tiggelen, B.A.3    Lagendijk, A.4
  • 46
    • 0001198416 scopus 로고
    • Intensity distributions of waves transmitted through a multiple scattering medium
    • T.M. Nieuwenhuizen and M.C.W. Van Rossum, Intensity distributions of waves transmitted through a multiple scattering medium, Phys. Rev. Lett. 74 (1995), pp. 2674-2677.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2674-2677
    • Nieuwenhuizen, T.M.1    Van Rossum, M.C.W.2
  • 48
    • 0142089091 scopus 로고    scopus 로고
    • Breakdown of wave diffusion in 2D due to loops
    • M. Haney and R. Snieder, Breakdown of wave diffusion in 2D due to loops, Phys. Rev. Lett. 91 (2003), 093902.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 093902
    • Haney, M.1    Snieder, R.2
  • 49
    • 33644950826 scopus 로고    scopus 로고
    • Spectral measure of large random Hankel, Markov and Toeplitz matrices
    • W. Bryc, A. Dembo, and T. Jiang, Spectral measure of large random Hankel, Markov and Toeplitz matrices, Ann. Probab. 34 (2006), pp. 1-38.
    • (2006) Ann. Probab. , vol.34 , pp. 1-38
    • Bryc, W.1    Dembo, A.2    Jiang, T.3
  • 50
    • 0034976166 scopus 로고    scopus 로고
    • Time reversal for a single spherical scatterer
    • D. Chambers and A. Gautesen, Time reversal for a single spherical scatterer, J. Acoust. Soc. Am. 109 (2001), pp. 2616-2624.
    • (2001) J. Acoust. Soc. Am. , vol.109 , pp. 2616-2624
    • Chambers, D.1    Gautesen, A.2
  • 51
    • 13544252548 scopus 로고    scopus 로고
    • Characterization of subwavelength elastic cylinders with the decomposition of the time-reversal operator: Theory and experiment
    • DOI 10.1121/1.1811471
    • J.-G. Minonzio, C. Prada, D. Chambers, and M. Fink, Characterization of subwavelength elastic cylinders with the decomposition of the time-reversal operator, J. Acoust. Soc. Am. 117 (2005), pp. 789-798. (Pubitemid 40223439)
    • (2005) Journal of the Acoustical Society of America , vol.117 , Issue.2 , pp. 789-798
    • Minonzio, J.-G.1    Prada, C.2    Chambers, D.3    Clorennec, D.4    Fink, M.5
  • 52
    • 3142751439 scopus 로고    scopus 로고
    • Analysis of the response matrix for an extended target
    • H. Zhao, Analysis of the response matrix for an extended target, SIAM J. Appl. Math. 64 (2004), pp. 725-745.
    • (2004) SIAM J. Appl. Math. , vol.64 , pp. 725-745
    • Zhao, H.1
  • 53
    • 33750293356 scopus 로고    scopus 로고
    • Gaussian beams and Legendre polynomials as invariants of the time reversal operator for a large rigid cylinder
    • A. Aubry, J. de Rosny, J.-G. Minonzio, C. Prada, and M. Fink, Gaussian beams and Legendre polynomials as invariants of the time reversal operator for a large rigid cylinder, J. Acoust. Soc. Am. 120 (2006), pp. 2746-2754.
    • (2006) J. Acoust. Soc. Am. , vol.120 , pp. 2746-2754
    • Aubry, A.1    De Rosny, J.2    Minonzio, J.-G.3    Prada, C.4    Fink, M.5
  • 54
    • 58649102042 scopus 로고    scopus 로고
    • The prolate spheroidal wave functions as invariants of the time reversal operator for an extended scatterer in the Fraunhofer approximation
    • J.L. Robert and M. Fink, The prolate spheroidal wave functions as invariants of the time reversal operator for an extended scatterer in the Fraunhofer approximation, J. Acoust. Soc. Am. 125 (2009), pp. 218-226.
    • (2009) J. Acoust. Soc. Am. , vol.125 , pp. 218-226
    • Robert, J.L.1    Fink, M.2
  • 55
    • 0004163930 scopus 로고
    • Academic Press, Boston, MA
    • M. Mehta, Random Matrices, Academic Press, Boston, MA, 1991.
    • (1991) Random Matrices
    • Mehta, M.1
  • 56
    • 0000597238 scopus 로고
    • On the universality of the level spacing distribution for some ensembles of random matrices
    • L. Pastur, On the universality of the level spacing distribution for some ensembles of random matrices, Lett. Math. Phys. 25 (1992), pp. 259-265.
    • (1992) Lett. Math. Phys. , vol.25 , pp. 259-265
    • Pastur, L.1
  • 57
    • 27644532196 scopus 로고
    • Level-spacing distributions and the Airy kernel
    • C.A. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Commun. Math. Phys. 159 (1994), pp. 151-174.
    • (1994) Commun. Math. Phys. , vol.159 , pp. 151-174
    • Tracy, C.A.1    Widom, H.2
  • 58
    • 0030545965 scopus 로고    scopus 로고
    • On orthogonal and symplectic matrix ensembles
    • C.A. Tracy and H. Widom, On orthogonal and symplectic matrix ensembles, Commun. Math. Phys. 177 (1996), pp. 727-754.
    • (1996) Commun. Math. Phys. , vol.177 , pp. 727-754
    • Tracy, C.A.1    Widom, H.2
  • 59
    • 0034340689 scopus 로고    scopus 로고
    • Shape fluctuations and random matrices
    • K. Johansson, Shape fluctuations and random matrices, Commun. Math. Phys. 209 (2000), pp. 437-476.
    • (2000) Commun. Math. Phys. , vol.209 , pp. 437-476
    • Johansson, K.1
  • 60
    • 33645016053 scopus 로고    scopus 로고
    • Recent results about the largest eigenvalue of random covariance matrices and statistical application
    • N. El-Karoui, Recent results about the largest eigenvalue of random covariance matrices and statistical application, Acta Phys. Polon. B 36 (2005), pp. 2681-2697.
    • (2005) Acta Phys. Polon. B , vol.36 , pp. 2681-2697
    • El-Karoui, N.1
  • 61
    • 35548981788 scopus 로고    scopus 로고
    • On the spectral norm of a random Toeplitz matrix
    • M. Meckes, On the spectral norm of a random Toeplitz matrix, Electron. Commun. Probab. 12 (2007), pp. 315-325.
    • (2007) Electron. Commun. Probab. , vol.12 , pp. 315-325
    • Meckes, M.1
  • 62
    • 85083124763 scopus 로고    scopus 로고
    • A few remarks on the operator norm of random Toeplitz matrices preprint to appear in
    • DOI: 1007/s10959-008-0201-207
    • R. Adamczak, A few remarks on the operator norm of random Toeplitz matrices, preprint to appear in J. Theor. Probab., DOI: 1007/s10959-008-0201-207
    • J. Theor. Probab.
    • Adamczak, R.1
  • 63
    • 54349114930 scopus 로고    scopus 로고
    • Fluctuations of eigenvalues and second-order Poincaré inequalities
    • S. Chatterjee, Fluctuations of eigenvalues and second-order Poincaré inequalities, Probab. Theory Rel. 143 (2009), pp. 1-40.
    • (2009) Probab. Theory Rel. , vol.143 , pp. 1-40
    • Chatterjee, S.1
  • 64
    • 69749111515 scopus 로고    scopus 로고
    • Detection and imaging in a random medium: A matrix method to overcome multiple scattering and aberration
    • A. Aubry and A. Derode, Detection and imaging in a random medium: a matrix method to overcome multiple scattering and aberration, J. Appl. Phys. 106 (2009), 044903.
    • (2009) J. Appl. Phys. , vol.106 , pp. 044903
    • Aubry, A.1    Derode, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.