@STRING{acha = {Appl.\ Comput.\ Harmon.\ Anal.}}
@STRING{aicm = {Adv.\ Comput.\ Math.}}
@string{jasa = "J.\ Acoust.\ Soc.\  Am."}
@STRING{balazs = {Balazs, Peter}}
@STRING{bast = {Bastiaans, Martin J.}}
@STRING{birk = {Birkh{\"a}user}}
@STRING{bitt = {Kai Bittner}}
@STRING{blu = {Blu, Thierry}}
@STRING{bolsk = {B{\"o}lcskei, Helmut}}
@STRING{casazza = {Casazza, Peter G.}}
@STRING{charlie = {Gr{\"o}chenig, Karlheinz}}
@STRING{daub = {Daubechies, Ingrid}}
@STRING{eld = {Eldar, Yonina C.}}
@STRING{fei = {Feichtinger, Hans .G}}
@STRING{heil = {Heil, Christopher}}
@STRING{high = {Higham, Nicholas J.}}
@STRING{hlaw = {Hlawatsch, Franz}}
@string{ieeetassp = "IEEE\ Trans.\ Acoust.\ Speech\ Signal\ Process."}
@STRING{ieeetransig = {IEEE\ Trans.\ Signal\ Process.}}
@STRING{j-SISSC = {SIAM\ J.\ Sci.\ Statist.\ Comput.}}
@STRING{jams = {J.\ Amer.\ Math.\ Soc.}}
@STRING{jans = {Janssen, Augustus Josephus Elisabeth Maria}}
@STRING{jfa = {J.\ Func.\ Anal.}}
@STRING{jfaa = {J.\ Fourier Anal.\ Appl.}}
@STRING{kaib = {Kaiblinger,Norbert}}
@STRING{kasso = {Okoudjou, Kasso A.}}
@STRING{leest = {van Leest, Arno J.}}
@STRING{mall = {Mallat, Stephane}}
@STRING{monat = {Monatsh.\ Math.}}
@STRING{nagase = {Nagase, Michihiro}}
@STRING{og = { and }}
@STRING{ole = {Christensen, Ole}}
@STRING{orr = {Orr, Richard S.}}
@STRING{pams = {Proc.\ Am.\ Math.\ Soc.}}
@STRING{prinz = {Prinz, Peter}}
@STRING{qiu = {Qiu, Sigang}}
@STRING{sigproc = {Signal\ Process.}}
@STRING{sonder = {S{\o}ndergaard, Peter Lempel}}
@STRING{stro = {Strohmer, Thomas}}
@STRING{tol = {Tolimieri, Richard}}
@STRING{toms = {{ACM}\ Trans.\ Math.\ Software}}
@STRING{torr = {Torr{\'e}sani, Bruno}}
@STRING{unser = {Unser, Michael}}
@STRING{vaillan = {Vaillancourt, R{\'e}mi}}
@STRING{walnut = {Walnut, David. F}}
@STRING{wicker = {Wickerhauser, Mladen Victor}}
@STRING{zamm = {ZAMM\ Z.\ Angew.\ Math.\ Mech.}}
@STRING{zeevi = {Zeevi, Yehoshua Y.}}
@STRING{zibul = {Zibulski, Meir}}

@article{aertsen1980strI,
    title={{Spectro-temporal receptive fields of auditory neurons in the grassfrog. I. Characterization of tonal and natural stimuli}},
    author={Aertsen, A. and Johannesma, PIM},
    journal={Biol. Cybern},
    volume=38,
    pages={223--234},
    year=1980,
}

@INCOLLECTION{bi03,
    author = bitt,
    title = {Wilson Bases on the Interval},
    booktitle = {Advances in {Gabor} Analysis},
    chapter = {9},
    pages = {197--222},
    comment = { wilint.ps },
    crossref = {fest03}
}

@INCOLLECTION{chst03-1,
    author = {ole # og # stro},
    title = {Methods for the Approximation of the Inverse {Gabor} Frame Operator},
    booktitle = {Advances in {Gabor} Analysis},
    chapter = {8},
    pages = {171--196},
    comment = { wilint.ps },
    crossref = {fest03}
}

@INCOLLECTION{ja98,
    author = jans,
    title = {{The duality condition for Weyl-Heisenberg frames}},
    booktitle = {{Gabor} Analysis and Algorithms},
    year = 1998,
    chapter = 1,
    pages = {33--84},
    crossref = {fest98}
}

@INCOLLECTION{st98-8,
    author = stro,
    title = {Numerical Algorithms for Discrete {Gabor} Expansions},
    booktitle = {{Gabor} Analysis and Algorithms},
    chapter = {8},
    pages = {267--294},
    crossref = {fest98}
}

@INCOLLECTION{fezi98,
    author = fei # og # {Zimmermann, Georg},
    title = {A {Banach} space of test functions and {Gabor} analysis},
    booktitle = {{Gabor} Analysis and Algorithms},
    chapter = {3},
    pages = {123--170},
    crossref = {fest98}
}

@INCOLLECTION{feno03,
    author = fei # og # {Nowak, K},
    title = {A first survey of {Gabor} multipliers},
    booktitle = {Advances in {Gabor} Analysis},
    year = {2003},
    chapter = {5},
    pages = {99--128},
    crossref = {fest03}
}

@INCOLLECTION{feko98,
    author = fei # og # {Kozek, Werner},
    title = {Operator Quantization on {LCA} Groups},
    booktitle = {{Gabor} Analysis and Algorithms},
    chapter = {7},
    pages = {233--266},
    crossref = {fest98}
}

@INCOLLECTION{behewa98,
    author = {Benedetto, J.J.} # og # heil # og # walnut,
    title = {{Gabor} systems and the {Balian}-{Low} theorem},
    booktitle = {{Gabor} Analysis and Algorithms},
    year = {1998},
    pages = {85--122},
    crossref = {fest98},
    keywords = {balian-low theorem;frames;gabor analysis;uncertainly principle;wil
        son basis;zak transform;density of exponentials},
    mr = {MR1601111}
}


@ARTICLE{doetor09,
    author = {D{\"o}rfler, M. and Torr{\'e}sani, B.},
    title = {Representation of operators in the time-frequency domain and generalized
        {G}abor multipliers},
    journal = {J. Fourier Anal. Appl.},
    year = {2010},
    volume = {16},
    pages = {261-293},
    number = {2},
    month = {April},
    owner = {xxl},
    timestamp = {2009.07.28}
}


@ARTICLE{so07-2,
    author = sonder,
    title = {An Efficient Algorithm for the Discrete {Gabor} Transform using full
        length Windows},
    journal = {{IEEE}\ Signal\ Process.\ Letters},
    year = {submitted for publication, 2007}
}

@TECHREPORT{ja94-4,
    author = jans,
    title = {Duality and Biorthogonality for discrete-time {Weyl}-{Heisenberg
        frames}},
    institution = {Philips\ Electronics},
    year = {002{/}94},
    type = {Unclassified Report}
}

@ARTICLE{ba07,
    author = balazs,
    title = {{H}ilbert-{S}chmidt Operators and Frames - Classification, Best Approximation
        by Multipliers and Algorithms},
    journal = {International Journal of Wavelets, Multiresolution and Information
        Processing},
    year = {2008},
    volume = {6},
    pages = {315 -- 330},
    url = {http://arxiv.org/abs/math.FA/0611634}
}

@ARTICLE{so07-1,
    author = sonder,
    title = {Symmetric, discrete fractional splines and {Gabor} systems},
    journal = {preprint},
    year = {2008}
}

@ARTICLE{ba06,
    author = balazs,
    title = {Basic Definition and Properties of {B}essel Multipliers},
    journal = {Journal of Mathematical Analysis and Applications},
    year = {2007},
    volume = {325},
    pages = {571--585},
    number = {1},
    month = {January},
    link = {http://arxiv.org/abs/math/0510091},
    url = {http://dx.doi.org/10.1016/j.jmaa.2006.02.012}
}

@ARTICLE{jaso07,
    author = jans # og # sonder,
    title = {Iterative algorithms to approximate canonical {Gabor} windows: Computational
        aspects},
    journal = jfaa,
    year = {2007},
    volume = {published online},
    keywords = {gabor frames;iterative algorithms;zak transform},
    url = {http://dx.doi.org/10.1007/s00041-006-6069-y}
}

@ARTICLE{so06,
    author = sonder,
    title = {{Gabor} frames by Sampling and Periodization},
    journal = aicm,
    year = {2007},
    volume = {27},
    pages = {355 --373},
    number = {4},
    doi = {10.1007/s10444-005-9003-y}
}

@PHDTHESIS{ba05-1,
    author = balazs,
    title = {Regular and Irregular {Gabor} Multipliers with Application to Psychoacoustic
        Masking},
    school = {Fakult{\"a}t f{\"u}r Mathematik der Universit{\"a}t Wien},
    year = {2005},
    address = {Vienna},
    month = {june}
}

@ARTICLE{ka05,
    author = kaib,
    title = {Approximation of the {Fourier} Transform and the Dual {Gabor} Window},
    journal = jfaa,
    year = {2005},
    volume = {11},
    pages = {25--42},
    number = {1},
    comment = {gd.ps}
}

@ARTICLE{ok04,
    author = kasso,
    title = {Embeddings of some Classical {Banach} Spaces into Modulation Spaces},
    journal = pams,
    year = {2004},
    volume = {132},
    number = {6}
}

@ARTICLE{blun03,
    author = blu # og # unser,
    title = {A complete family of scaling functions: the $(\alpha,\tau)$-fractional
        splines},
    journal = {Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP
            '03). 2003 IEEE International Conference on},
    year = {2003},
    volume = {1},
    pages = {VI-421-4 vol.6},
    copyright = {Copyright 2003, IEEE},
    isbn = {0780376633},
    publisher = {IEEE}
}

@BOOK{ch03-1,
    title = {An Introduction to Frames and {Riesz} Bases},
    publisher = birk,
    year = {2003},
    author = ole
}

@INPROCEEDINGS{ja03-2,
    author = jans,
    title = {Some iterative algorithms to compute canonical windows for {Gabor}
        frames},
    booktitle = {Proceedings of {IMS} Workshop on Time-Frequency Analysis and Applications},
    year = {2003},
    address = {Singapore},
    month = {September}
}

@UNPUBLISHED{ja02b,
    author = jans,
    title = {Analysis of some fast algorithms to compute canonical windows for
        {Gabor} frames},
    note = {Unpublished},
    year = {2002}
}

@ARTICLE{jast02,
    author = jans # og # stro,
    title = {Characterization and computation of canonical tight windows for {Gabor}
        frames},
    journal = jfaa,
    year = {2002},
    volume = {8},
    pages = {1--28},
    number = {1},
    comment = { tight.ps.gz }
}

@ARTICLE{jast02-1,
    author = jans # og # stro,
    title = {Hyperbolic Secants Yield {Gabor} Frames},
    journal = acha,
    year = {2002},
    volume = {12},
    pages = {259-267},
    number = {2},
    issn = {10635203},
    language = {EN}
}

@BOOK{wa02,
    title = {An introduction to wavelet analysis},
    publisher = birk,
    year = {2002},
    author = walnut,
    isbn = {0817639624},
    language = {english},
    zbl = {0989.42014}
}

@BOOK{gr01,
    title = {Foundations of Time-Frequency Analysis},
    publisher = birk,
    year = {2001},
    author = charlie
}

@ARTICLE{blun00,
    author = blu # og # unser,
    title = {The fractional spline wavelet transform: definition end implementation},
    journal = {Acoustics, Speech, and Signal Processing, 2000. ICASSP '00. Proceedings.
        2000 IEEE International Conference on},
    year = {2000},
    volume = {1},
    pages = {512 -515 vol.1},
    isbn = {0780362934},
    publisher = {IEEE}
}

@ARTICLE{Chr00,
    author = ole,
    title = {Finite-Dimensional Approximation of the Inverse Frame Operator},
    journal = jfaa,
    year = {2000},
    volume = {6},
    pages = {79--91},
    number = {1},
    comment = { oleinvgabframe.pdf }
}

@ARTICLE{unbl00,
    author = unser # og # blu,
    title = {Fractional Splines and Wavelets},
    journal = {SIAM Review},
    year = {2000},
    volume = {42},
    pages = {43-67},
    number = {1},
    issn = {00361445}
}

@ARTICLE{bi99,
    author = bitt,
    title = {Error estimates and reproduction of polynomials for biorthogonal
        local trigonometric bases},
    journal = acha,
    year = {1999},
    volume = {6},
    pages = {75--102}
}

@TECHREPORT{hi99p,
    author = high,
    title = {A New \texttt{sqrtm} for {MATLAB}},
    institution = {Manchester Centre for Computational Mathematics},
    year = {1999},
    type = {Numerical Analysis Report},
    number = {No. 336},
    address = {Manchester, England},
    month = jan,
    pages = {11},
    url = {http://www.maths.man.ac.uk/~nareports/narep336.ps.gz}
}

@ARTICLE{bohl98,
    author = bolsk # og # hlaw,
    title = {Oversampled Cosine Modulated Filter Banks with Perfect Reconstruction},
    journal = {IEEE Transactions on Circuits and Systems},
    year = {1998},
    volume = {45},
    pages = {1057--1071},
    number = {8},
    month = {aug},
    url = { http://www.nari.ee.ethz.ch/commth/pubs/p/cos98 }
}

@BOOK{ma98,
    title = {A wavelet tour of signal processing.},
    publisher = {Academic Press},
    year = {1998},
    author = mall,
    address = {San Diego, {CA}},
    zbl = {0937.94001}
}

@ARTICLE{qi98,
    author = qiu,
    title = {Discrete {Gabor} Transforms: The {Gabor}-Gram Matrix Approach},
    journal = jfaa,
    year = {1998},
    volume = {4},
    pages = {1--17},
    number = {1}
}

@ARTICLE{bohl97-1,
    author = bolsk # og # hlaw,
    title = {Discrete {Zak} transforms, polyphase transforms, and applications},
    journal = ieeetransig,
    year = {1997},
    volume = {45},
    pages = {851--866},
    number = {4},
    month = {april},
    keywords = {discrete fourier transform filter banks;gabor analysis;polyphase transform;discrete
        zak transform}
}

@ARTICLE{fegr97,
    author = fei # og # charlie,
    title = {{Gabor} Frames and Time-Frequency Analysis of Distributions},
    journal = jfa,
    year = {1997},
    volume = {146},
    pages = {464--495},
    comment = { Lille format. }
}

@ARTICLE{ja97-1,
    author = jans,
    title = {From Continuous to Discrete {Weyl}-{Heisenberg} Frames Through Sampling},
    journal = jfaa,
    year = {1997},
    volume = {3},
    pages = {583-596},
    number = {5}
}

@ARTICLE{zezi97,
    author = zibul # og # zeevi,
    title = {Analysis of Multiwindow {Gabor}-Type Schemes by Frame Methods},
    journal = acha,
    year = {1997},
    volume = {4},
    pages = {188--221},
    number = {2},
    comment = { zz.pdf }
}

@INPROCEEDINGS{bofegrhl96-1,
    author = bolsk # og # fei # og # charlie # og # hlaw,
    title = {Discrete-Time {Wilson} Expansions},
    booktitle = {Proc. {IEEE}-{SP} 1996 Int. Sympos. Time-Frequency Time-Scale Analysis},
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    month = {june},
    url = {http://www.nari.ee.ethz.ch/commth/pubs/p/tfts96}
}

@CONFERENCE{bohl96-1,
    author = bolsk # og # hlaw,
    title = {Oversampled {Wilson}-type cosine modulated filter banks with linear
        phase},
    booktitle = {Asilomar Conf. on Signals, Systems, and Computers},
    year = {1996},
    pages = {998-1002},
    month = {nov},
    comment = { asilomar96.pdf },
    keywords = {Wilson expansion, cosine modulated filter bank, oversampling, linear
        phase, DFT, DCT},
    misc = {Pacific Grove (CA)},
    url = {http://www.nari.ee.ethz.ch/commth/pubs/p/asilomar96}
}

@ARTICLE{pr96,
    author = prinz,
    title = {Calculating the dual {Gabor} window for general sampling sets},
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    year = {1996},
    volume = {44},
    pages = {2078-2082},
    number = {8},
    issn = {1053587x},
    publisher = {IEEE}
}

@INPROCEEDINGS{bohlfe95-1,
    author = bolsk # og # hlaw # og # fei,
    title = {Equivalence of {DFT} Filter banks and {Gabor} expansions},
    booktitle = {{SPIE} 95, Wavelet Applications in Signal and Image Processing {III}},
    year = {1995},
    volume = {2569, part {I}},
    address = {San Diego},
    month = {july},
    keywords = {algorithms;discrete fourier transform;discrete fourier transform filter
        banks;filter banks;filterbanks;fourier transform;gabor analysis;zak
            transform},
    mr = {MR1368684}
}

@article{bohlfe02,
    title={{Frame-theoretic analysis of oversampled filter banks}},
    author=bolsk # og # hlaw # og # fei,
    journal={Signal Processing, IEEE Transactions on},
    volume=46,
    number=12,
    pages={3256--3268},
    issn={1053-587X},
    year=2002,
    publisher={IEEE}
}

@article{buma04,
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}

@ARTICLE{ch95-2,
    author = ole,
    title = {Frames and pseudo-inverses},
    journal = {J.\ Math.\ Anal.\ Appl.},
    year = {1995},
    volume = {195},
    pages = {401--414},
    keywords = {gabor analysis;pseudo-inverse},
    mr = {MR1354551},
    zbl = {0845.47002}
}

@ARTICLE{ja95,
    author = jans,
    title = {Duality and biorthogonality for {Weyl}-{Heisenberg} frames},
    journal = jfaa,
    year = {1995},
    volume = {1},
    pages = {403--436},
    number = {4},
    comment = { p069.pdf }
}

@ARTICLE{ja95-1,
    author = jans,
    title = {On Rationally Oversampled {Weyl}-{Heisenberg} Frames},
    journal = sigproc,
    year = {1995},
    pages = {239--245},
    comment = { 95001123.ps, dual opfylder betingelse A }
}

@ARTICLE{qife95,
    author = qiu # og # fei,
    title = {Discrete Gabor structures and optimal representations},
    journal = ieeetransig,
    year = {1995},
    volume = {43},
    pages = {2258 -2268},
    number = {10},
    copyright = {Copyright 1995, IEE},
    issn = {1053587x},
    publisher = {IEEE}
}

@ARTICLE{toor95,
    author = tol # og # orr,
    title = {Poisson Summation, the Ambiguity function, and the theory of {Weyl}-{Heisenberg}
        systems},
    journal = jfaa,
    year = {1995},
    volume = {1},
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    number = {3},
    comment = { orrpoisson.pdf }
}

@ARTICLE{ja94-3,
    author = jans,
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    number = {4},
    issn = {10635203},
    language = {English},
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}

@ARTICLE{or93b,
    author = orr,
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    number = {1},
    issn = {01651684},
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}

@ARTICLE{zezi93,
    author = zeevi # og # zibul,
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    journal = ieeetransig,
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    volume = {41},
    pages = {2679--2687},
    number = {8}
}

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    number = {1},
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}

@ARTICLE{hi86p,
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}

@ARTICLE{fe81-3,
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    journal = monat,
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    pages = {269--289},
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}

@ARTICLE{grle04,
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    number = {1}
}

@ARTICLE{unaled93,
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    volume = {41},
    pages = {821 -833},
    number = {2},
    issn = {1053587x},
    publisher = {IEEE}
}

@ARTICLE{unaled92,
    author = unser # og # {Aldroubi, A. and Eden, M.},
    title = {On the asymptotic convergence of B-spline wavelets to Gabor functions},
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    volume = {38},
    pages = {864 -872},
    number = {22},
    issn = {00189448},
    publisher = {IEEE}
}

@ARTICLE{grjakapf03,
    author = charlie # og # jans # og # kaib # og # {Pfander, G.E},
    title = {Note on B-splines, wavelet scaling functions, and gabor frames},
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    year = {2003},
    volume = {49},
    pages = {3318-3320},
    number = {12},
    issn = {00189448},
    publisher = {IEEE}
}

@ARTICLE{dalala95,
    author = daub # og # {Landau, H.J. and Landau, Zeph},
    title = {{Gabor} time-frequency lattices and the {Wexler-Raz} identity},
    journal = jfaa,
    year = {95},
    volume = {1},
    pages = {437--498},
    number = {4},
    comment = {daublanlan.pdf }
}

@ARTICLE{dademo04,
    author = daub # og # {Defrise, Michel and De Mol, Christine },
    title = {An iterative thresholding algorithm for linear inverse problems with
        a sparsity constraint},
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    year = {2004},
    volume = {57},
    pages = {1413--1457}
}

@ARTICLE{bafehakr06,
    author = balazs # og # fei # og # {Hampejs, Mario and Kracher, G{\"u}nther},
    title = {Double preconditioning for {Gabor} frames},
    journal = ieeetransig,
    year = {2006},
    volume = {54},
    pages = {4597--4610},
    number = {12},
    month = {December},
    url = {http://dx.doi.org/10.1109/TSP.2006.882100}
}

@ARTICLE{bage96,
    author = bast # og # {Geilen, Marc C.W.},
    title = {On the discrete {Gabor} transform and the discrete {Zak} transform},
    journal = sigproc,
    year = {1996},
    volume = {49},
    pages = {151-166},
    number = {3},
    issn = {01651684}
}

@article{cooley1965algorithm,
    title={{An algorithm for the machine calculation of complex Fourier series}},
    author={Cooley, J.W. and Tukey, J.W.},
    journal={Math. Comput},
    volume=19,
    number=90,
    pages={297--301},
    year=1965
}

@ARTICLE{dajajo91,
    author = daub # og # {Jaffard, S. and Journ{\'e}, J.L.},
    title = {A simple {Wilson} orthonormal basis with exponential decay},
    journal = {SIAM J.\ Math.\ Anal.},
    year = {1991},
    volume = {22},
    pages = {554--573},
    comment = {includes an erratum},
    html = {http://locus.siam.org/{S}{I}{M}{A}/volume-22/art_0522035.html},
    keywords = {modulation space;orthonormal basis;phase space;time-frequency analysis;wilson
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@article{dubase08,
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@article{ltfatnote039,
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@article{ltfatnote041,
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@article{fifu09,
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@article{ne02,
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@INPROCEEDINGS{auchfl12b,
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@techreport{ltfatnote042,
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@ARTICLE{desomada15,
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@InProceedings{ltfatnote043,
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@article{ltfatnote040,
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}

@article{ltfatnote038,
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}

@article{grst13,
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 publisher = {Academic Press, Inc.},
 address = {Orlando, FL, USA},
}

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Note = {submitted}
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@article{ltfatnote052,
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}
