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@STRING{acha = {Appl.\ Comput.\ Harmon.\ Anal.}}

@STRING{aicm = {Adv.\ Comput.\ Math.}}

@string{jasa = "J.\ Acoust.\ Soc.\  Am."}

@STRING{ashino = {Ryuichi, Ashino}}

@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{werth = {Werther, Tobias}}

@STRING{wicker = {Wickerhauser, Mladen Victor}}

@STRING{zamm = {ZAMM\ Z.\ Angew.\ Math.\ Mech.}}

@STRING{zeevi = {Zeevi, Yehoshua Y.}}

@STRING{zibul = {Zibulski, Meir}}

@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 = {Dörfler, M. and Torresani, B.},
  title = {Representation of operators in the time-frequency domain and generalized
	Gabor multipliers},
  journal = {J. Fourier Anal. Appl.},
  year = {2009},
  volume = {accepted},
  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},
  year = {1996},
  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},
  journal = ieeetransig,
  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{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},
  pages = {233--247},
  number = {3},
  comment = { orrpoisson.pdf }
}

@ARTICLE{ja94-3,
  author = jans,
  title = {Signal analytic proofs of two basic results on lattice expansions},
  journal = acha,
  year = {1994},
  volume = {1},
  pages = {350-354},
  number = {4},
  issn = {10635203},
  language = {English},
  publisher = {Academic Press, Inc.}
}

@ARTICLE{or93b,
  author = orr,
  title = {Derivation of the finite discrete {Gabor} Transform by periodization
	and sampling},
  journal = sigproc,
  year = {1993},
  volume = {34},
  pages = {85--97},
  number = {1},
  issn = {01651684},
  publisher = {Elsevier Science Publishers B.V.}
}

@ARTICLE{zezi93,
  author = zeevi # og # zibul,
  title = {Oversampling in the {Gabor} scheme},
  journal = ieeetransig,
  year = {1993},
  volume = {41},
  pages = {2679--2687},
  number = {8}
}

@ARTICLE{ja88,
  author = jans,
  title = {The {Zak} transform: a signal transform for sampled time-continuous
	signals},
  journal = {Philips Journal of Research},
  year = {1988},
  volume = {43},
  pages = {23-69},
  number = {1},
  issn = {01655817},
  language = {English}
}

@ARTICLE{hi86p,
  author = high,
  title = {Computing the Polar Decomposition---with Applications},
  journal = j-SISSC,
  year = {1986},
  volume = {7},
  pages = {1160-1174},
  number = {4},
  month = oct,
  mynote = {N.A. Report 94, November 1984. (Proof in Appendix is not in paper).}
}

@ARTICLE{fe81-3,
  author = fei,
  title = {On a new {Segal} Algebra},
  journal = monat,
  year = {1981},
  volume = {92},
  pages = {269--289},
  number = {4}
}

@ARTICLE{grle04,
  author = charlie # { and Leinert, Michael},
  title = {Wiener's Lemma for Twisted Convolution and {Gabor} Frames},
  journal = jams,
  year = {2004},
  volume = {17},
  number = {1}
}

@ARTICLE{unaled93,
  author = unser # og # {Aldroubi, A. and Eden, M.},
  title = {B-spline signal processing. I. Theory},
  journal = ieeetransig,
  year = {1993},
  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},
  journal = {Information Theory, IEEE Transactions on},
  year = {1992},
  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},
  journal = {Information Theory, IEEE Transactions on},
  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},
  journal = {Communications in Pure and Applied Mathematics},
  year = {2004},
  volume = {57},
  pages = {1413--1457}
}

@ARTICLE{fehakr04,
  author = fei # og # {Hampejs, M. and Kracher, G.},
  title = {Approximation of Matrices by {G}abor multipliers},
  journal = {IEEE Signal Procesing Letters},
  year = {2004},
  volume = {11},
  pages = {883--886},
  number = {11}
}

@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
}

@inproceedings{decorsiere2011,
  author = "R{\'e}mi Decorsi{\`e}re" # og # sonder,
  title = {{Modulation filtering using an optimization approach to spectrogram reconstruction}},
  booktitle={Proceedings of the Forum Acousticum},
  year = 2011
}  



@ARTICLE{fehakamane06,
  author = fei # og # {Hazewinkel, M.} # og # kaib # og # {Matusiak, Ewa and
	Neuhauser, Markus},
  title = {Metaplectic operators on $C^n$},
  journal = {To appear},
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