1@STRING{acha = {Appl.\ Comput.\ Harmon.\ Anal.}}
2@STRING{aicm = {Adv.\ Comput.\ Math.}}
3@string{jasa = "J.\ Acoust.\ Soc.\  Am."}
4@STRING{balazs = {Balazs, Peter}}
5@STRING{bast = {Bastiaans, Martin J.}}
6@STRING{birk = {Birkh{\"a}user}}
7@STRING{bitt = {Kai Bittner}}
8@STRING{blu = {Blu, Thierry}}
9@STRING{bolsk = {B{\"o}lcskei, Helmut}}
10@STRING{casazza = {Casazza, Peter G.}}
11@STRING{charlie = {Gr{\"o}chenig, Karlheinz}}
12@STRING{daub = {Daubechies, Ingrid}}
13@STRING{eld = {Eldar, Yonina C.}}
14@STRING{fei = {Feichtinger, Hans .G}}
15@STRING{heil = {Heil, Christopher}}
16@STRING{high = {Higham, Nicholas J.}}
17@STRING{hlaw = {Hlawatsch, Franz}}
18@string{ieeetassp = "IEEE\ Trans.\ Acoust.\ Speech\ Signal\ Process."}
19@STRING{ieeetransig = {IEEE\ Trans.\ Signal\ Process.}}
20@STRING{j-SISSC = {SIAM\ J.\ Sci.\ Statist.\ Comput.}}
21@STRING{jams = {J.\ Amer.\ Math.\ Soc.}}
22@STRING{jans = {Janssen, Augustus Josephus Elisabeth Maria}}
23@STRING{jfa = {J.\ Func.\ Anal.}}
24@STRING{jfaa = {J.\ Fourier Anal.\ Appl.}}
25@STRING{kaib = {Kaiblinger,Norbert}}
26@STRING{kasso = {Okoudjou, Kasso A.}}
27@STRING{leest = {van Leest, Arno J.}}
28@STRING{mall = {Mallat, Stephane}}
29@STRING{monat = {Monatsh.\ Math.}}
30@STRING{nagase = {Nagase, Michihiro}}
31@STRING{og = { and }}
32@STRING{ole = {Christensen, Ole}}
33@STRING{orr = {Orr, Richard S.}}
34@STRING{pams = {Proc.\ Am.\ Math.\ Soc.}}
35@STRING{prinz = {Prinz, Peter}}
36@STRING{qiu = {Qiu, Sigang}}
37@STRING{sigproc = {Signal\ Process.}}
38@STRING{sonder = {S{\o}ndergaard, Peter Lempel}}
39@STRING{stro = {Strohmer, Thomas}}
40@STRING{tol = {Tolimieri, Richard}}
41@STRING{toms = {{ACM}\ Trans.\ Math.\ Software}}
42@STRING{torr = {Torr{\'e}sani, Bruno}}
43@STRING{unser = {Unser, Michael}}
44@STRING{vaillan = {Vaillancourt, R{\'e}mi}}
45@STRING{walnut = {Walnut, David. F}}
46@STRING{wicker = {Wickerhauser, Mladen Victor}}
47@STRING{zamm = {ZAMM\ Z.\ Angew.\ Math.\ Mech.}}
48@STRING{zeevi = {Zeevi, Yehoshua Y.}}
49@STRING{zibul = {Zibulski, Meir}}
50
51@article{aertsen1980strI,
52    title={{Spectro-temporal receptive fields of auditory neurons in the grassfrog. I. Characterization of tonal and natural stimuli}},
53    author={Aertsen, A. and Johannesma, PIM},
54    journal={Biol. Cybern},
55    volume=38,
56    pages={223--234},
57    year=1980,
58}
59
60@INCOLLECTION{bi03,
61    author = bitt,
62    title = {Wilson Bases on the Interval},
63    booktitle = {Advances in {Gabor} Analysis},
64    chapter = {9},
65    pages = {197--222},
66    comment = { wilint.ps },
67    crossref = {fest03}
68}
69
70@INCOLLECTION{chst03-1,
71    author = {ole # og # stro},
72    title = {Methods for the Approximation of the Inverse {Gabor} Frame Operator},
73    booktitle = {Advances in {Gabor} Analysis},
74    chapter = {8},
75    pages = {171--196},
76    comment = { wilint.ps },
77    crossref = {fest03}
78}
79
80@INCOLLECTION{ja98,
81    author = jans,
82    title = {{The duality condition for Weyl-Heisenberg frames}},
83    booktitle = {{Gabor} Analysis and Algorithms},
84    year = 1998,
85    chapter = 1,
86    pages = {33--84},
87    crossref = {fest98}
88}
89
90@INCOLLECTION{st98-8,
91    author = stro,
92    title = {Numerical Algorithms for Discrete {Gabor} Expansions},
93    booktitle = {{Gabor} Analysis and Algorithms},
94    chapter = {8},
95    pages = {267--294},
96    crossref = {fest98}
97}
98
99@INCOLLECTION{fezi98,
100    author = fei # og # {Zimmermann, Georg},
101    title = {A {Banach} space of test functions and {Gabor} analysis},
102    booktitle = {{Gabor} Analysis and Algorithms},
103    chapter = {3},
104    pages = {123--170},
105    crossref = {fest98}
106}
107
108@INCOLLECTION{feno03,
109    author = fei # og # {Nowak, K},
110    title = {A first survey of {Gabor} multipliers},
111    booktitle = {Advances in {Gabor} Analysis},
112    year = {2003},
113    chapter = {5},
114    pages = {99--128},
115    crossref = {fest03}
116}
117
118@INCOLLECTION{feko98,
119    author = fei # og # {Kozek, Werner},
120    title = {Operator Quantization on {LCA} Groups},
121    booktitle = {{Gabor} Analysis and Algorithms},
122    chapter = {7},
123    pages = {233--266},
124    crossref = {fest98}
125}
126
127@INCOLLECTION{behewa98,
128    author = {Benedetto, J.J.} # og # heil # og # walnut,
129    title = {{Gabor} systems and the {Balian}-{Low} theorem},
130    booktitle = {{Gabor} Analysis and Algorithms},
131    year = {1998},
132    pages = {85--122},
133    crossref = {fest98},
134    keywords = {balian-low theorem;frames;gabor analysis;uncertainly principle;wil
135        son basis;zak transform;density of exponentials},
136    mr = {MR1601111}
137}
138
139
140@ARTICLE{doetor09,
141    author = {D{\"o}rfler, M. and Torr{\'e}sani, B.},
142    title = {Representation of operators in the time-frequency domain and generalized
143        {G}abor multipliers},
144    journal = {J. Fourier Anal. Appl.},
145    year = {2010},
146    volume = {16},
147    pages = {261-293},
148    number = {2},
149    month = {April},
150    owner = {xxl},
151    timestamp = {2009.07.28}
152}
153
154
155@ARTICLE{so07-2,
156    author = sonder,
157    title = {An Efficient Algorithm for the Discrete {Gabor} Transform using full
158        length Windows},
159    journal = {{IEEE}\ Signal\ Process.\ Letters},
160    year = {submitted for publication, 2007}
161}
162
163@TECHREPORT{ja94-4,
164    author = jans,
165    title = {Duality and Biorthogonality for discrete-time {Weyl}-{Heisenberg
166        frames}},
167    institution = {Philips\ Electronics},
168    year = {002{/}94},
169    type = {Unclassified Report}
170}
171
172@ARTICLE{ba07,
173    author = balazs,
174    title = {{H}ilbert-{S}chmidt Operators and Frames - Classification, Best Approximation
175        by Multipliers and Algorithms},
176    journal = {International Journal of Wavelets, Multiresolution and Information
177        Processing},
178    year = {2008},
179    volume = {6},
180    pages = {315 -- 330},
181    url = {http://arxiv.org/abs/math.FA/0611634}
182}
183
184@ARTICLE{so07-1,
185    author = sonder,
186    title = {Symmetric, discrete fractional splines and {Gabor} systems},
187    journal = {preprint},
188    year = {2008}
189}
190
191@ARTICLE{ba06,
192    author = balazs,
193    title = {Basic Definition and Properties of {B}essel Multipliers},
194    journal = {Journal of Mathematical Analysis and Applications},
195    year = {2007},
196    volume = {325},
197    pages = {571--585},
198    number = {1},
199    month = {January},
200    link = {http://arxiv.org/abs/math/0510091},
201    url = {http://dx.doi.org/10.1016/j.jmaa.2006.02.012}
202}
203
204@ARTICLE{jaso07,
205    author = jans # og # sonder,
206    title = {Iterative algorithms to approximate canonical {Gabor} windows: Computational
207        aspects},
208    journal = jfaa,
209    year = {2007},
210    volume = {published online},
211    keywords = {gabor frames;iterative algorithms;zak transform},
212    url = {http://dx.doi.org/10.1007/s00041-006-6069-y}
213}
214
215@ARTICLE{so06,
216    author = sonder,
217    title = {{Gabor} frames by Sampling and Periodization},
218    journal = aicm,
219    year = {2007},
220    volume = {27},
221    pages = {355 --373},
222    number = {4},
223    doi = {10.1007/s10444-005-9003-y}
224}
225
226@PHDTHESIS{ba05-1,
227    author = balazs,
228    title = {Regular and Irregular {Gabor} Multipliers with Application to Psychoacoustic
229        Masking},
230    school = {Fakult{\"a}t f{\"u}r Mathematik der Universit{\"a}t Wien},
231    year = {2005},
232    address = {Vienna},
233    month = {june}
234}
235
236@ARTICLE{ka05,
237    author = kaib,
238    title = {Approximation of the {Fourier} Transform and the Dual {Gabor} Window},
239    journal = jfaa,
240    year = {2005},
241    volume = {11},
242    pages = {25--42},
243    number = {1},
244    comment = {gd.ps}
245}
246
247@ARTICLE{ok04,
248    author = kasso,
249    title = {Embeddings of some Classical {Banach} Spaces into Modulation Spaces},
250    journal = pams,
251    year = {2004},
252    volume = {132},
253    number = {6}
254}
255
256@ARTICLE{blun03,
257    author = blu # og # unser,
258    title = {A complete family of scaling functions: the $(\alpha,\tau)$-fractional
259        splines},
260    journal = {Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP
261            '03). 2003 IEEE International Conference on},
262    year = {2003},
263    volume = {1},
264    pages = {VI-421-4 vol.6},
265    copyright = {Copyright 2003, IEEE},
266    isbn = {0780376633},
267    publisher = {IEEE}
268}
269
270@BOOK{ch03-1,
271    title = {An Introduction to Frames and {Riesz} Bases},
272    publisher = birk,
273    year = {2003},
274    author = ole
275}
276
277@INPROCEEDINGS{ja03-2,
278    author = jans,
279    title = {Some iterative algorithms to compute canonical windows for {Gabor}
280        frames},
281    booktitle = {Proceedings of {IMS} Workshop on Time-Frequency Analysis and Applications},
282    year = {2003},
283    address = {Singapore},
284    month = {September}
285}
286
287@UNPUBLISHED{ja02b,
288    author = jans,
289    title = {Analysis of some fast algorithms to compute canonical windows for
290        {Gabor} frames},
291    note = {Unpublished},
292    year = {2002}
293}
294
295@ARTICLE{jast02,
296    author = jans # og # stro,
297    title = {Characterization and computation of canonical tight windows for {Gabor}
298        frames},
299    journal = jfaa,
300    year = {2002},
301    volume = {8},
302    pages = {1--28},
303    number = {1},
304    comment = { tight.ps.gz }
305}
306
307@ARTICLE{jast02-1,
308    author = jans # og # stro,
309    title = {Hyperbolic Secants Yield {Gabor} Frames},
310    journal = acha,
311    year = {2002},
312    volume = {12},
313    pages = {259-267},
314    number = {2},
315    issn = {10635203},
316    language = {EN}
317}
318
319@BOOK{wa02,
320    title = {An introduction to wavelet analysis},
321    publisher = birk,
322    year = {2002},
323    author = walnut,
324    isbn = {0817639624},
325    language = {english},
326    zbl = {0989.42014}
327}
328
329@BOOK{gr01,
330    title = {Foundations of Time-Frequency Analysis},
331    publisher = birk,
332    year = {2001},
333    author = charlie
334}
335
336@ARTICLE{blun00,
337    author = blu # og # unser,
338    title = {The fractional spline wavelet transform: definition end implementation},
339    journal = {Acoustics, Speech, and Signal Processing, 2000. ICASSP '00. Proceedings.
340        2000 IEEE International Conference on},
341    year = {2000},
342    volume = {1},
343    pages = {512 -515 vol.1},
344    isbn = {0780362934},
345    publisher = {IEEE}
346}
347
348@ARTICLE{Chr00,
349    author = ole,
350    title = {Finite-Dimensional Approximation of the Inverse Frame Operator},
351    journal = jfaa,
352    year = {2000},
353    volume = {6},
354    pages = {79--91},
355    number = {1},
356    comment = { oleinvgabframe.pdf }
357}
358
359@ARTICLE{unbl00,
360    author = unser # og # blu,
361    title = {Fractional Splines and Wavelets},
362    journal = {SIAM Review},
363    year = {2000},
364    volume = {42},
365    pages = {43-67},
366    number = {1},
367    issn = {00361445}
368}
369
370@ARTICLE{bi99,
371    author = bitt,
372    title = {Error estimates and reproduction of polynomials for biorthogonal
373        local trigonometric bases},
374    journal = acha,
375    year = {1999},
376    volume = {6},
377    pages = {75--102}
378}
379
380@TECHREPORT{hi99p,
381    author = high,
382    title = {A New \texttt{sqrtm} for {MATLAB}},
383    institution = {Manchester Centre for Computational Mathematics},
384    year = {1999},
385    type = {Numerical Analysis Report},
386    number = {No. 336},
387    address = {Manchester, England},
388    month = jan,
389    pages = {11},
390    url = {http://www.maths.man.ac.uk/~nareports/narep336.ps.gz}
391}
392
393@ARTICLE{bohl98,
394    author = bolsk # og # hlaw,
395    title = {Oversampled Cosine Modulated Filter Banks with Perfect Reconstruction},
396    journal = {IEEE Transactions on Circuits and Systems},
397    year = {1998},
398    volume = {45},
399    pages = {1057--1071},
400    number = {8},
401    month = {aug},
402    url = { http://www.nari.ee.ethz.ch/commth/pubs/p/cos98 }
403}
404
405@BOOK{ma98,
406    title = {A wavelet tour of signal processing.},
407    publisher = {Academic Press},
408    year = {1998},
409    author = mall,
410    address = {San Diego, {CA}},
411    zbl = {0937.94001}
412}
413
414@ARTICLE{qi98,
415    author = qiu,
416    title = {Discrete {Gabor} Transforms: The {Gabor}-Gram Matrix Approach},
417    journal = jfaa,
418    year = {1998},
419    volume = {4},
420    pages = {1--17},
421    number = {1}
422}
423
424@ARTICLE{bohl97-1,
425    author = bolsk # og # hlaw,
426    title = {Discrete {Zak} transforms, polyphase transforms, and applications},
427    journal = ieeetransig,
428    year = {1997},
429    volume = {45},
430    pages = {851--866},
431    number = {4},
432    month = {april},
433    keywords = {discrete fourier transform filter banks;gabor analysis;polyphase transform;discrete
434        zak transform}
435}
436
437@ARTICLE{fegr97,
438    author = fei # og # charlie,
439    title = {{Gabor} Frames and Time-Frequency Analysis of Distributions},
440    journal = jfa,
441    year = {1997},
442    volume = {146},
443    pages = {464--495},
444    comment = { Lille format. }
445}
446
447@ARTICLE{ja97-1,
448    author = jans,
449    title = {From Continuous to Discrete {Weyl}-{Heisenberg} Frames Through Sampling},
450    journal = jfaa,
451    year = {1997},
452    volume = {3},
453    pages = {583-596},
454    number = {5}
455}
456
457@ARTICLE{zezi97,
458    author = zibul # og # zeevi,
459    title = {Analysis of Multiwindow {Gabor}-Type Schemes by Frame Methods},
460    journal = acha,
461    year = {1997},
462    volume = {4},
463    pages = {188--221},
464    number = {2},
465    comment = { zz.pdf }
466}
467
468@INPROCEEDINGS{bofegrhl96-1,
469    author = bolsk # og # fei # og # charlie # og # hlaw,
470    title = {Discrete-Time {Wilson} Expansions},
471    booktitle = {Proc. {IEEE}-{SP} 1996 Int. Sympos. Time-Frequency Time-Scale Analysis},
472    year = {1996},
473    month = {june},
474    url = {http://www.nari.ee.ethz.ch/commth/pubs/p/tfts96}
475}
476
477@CONFERENCE{bohl96-1,
478    author = bolsk # og # hlaw,
479    title = {Oversampled {Wilson}-type cosine modulated filter banks with linear
480        phase},
481    booktitle = {Asilomar Conf. on Signals, Systems, and Computers},
482    year = {1996},
483    pages = {998-1002},
484    month = {nov},
485    comment = { asilomar96.pdf },
486    keywords = {Wilson expansion, cosine modulated filter bank, oversampling, linear
487        phase, DFT, DCT},
488    misc = {Pacific Grove (CA)},
489    url = {http://www.nari.ee.ethz.ch/commth/pubs/p/asilomar96}
490}
491
492@ARTICLE{pr96,
493    author = prinz,
494    title = {Calculating the dual {Gabor} window for general sampling sets},
495    journal = ieeetransig,
496    year = {1996},
497    volume = {44},
498    pages = {2078-2082},
499    number = {8},
500    issn = {1053587x},
501    publisher = {IEEE}
502}
503
504@INPROCEEDINGS{bohlfe95-1,
505    author = bolsk # og # hlaw # og # fei,
506    title = {Equivalence of {DFT} Filter banks and {Gabor} expansions},
507    booktitle = {{SPIE} 95, Wavelet Applications in Signal and Image Processing {III}},
508    year = {1995},
509    volume = {2569, part {I}},
510    address = {San Diego},
511    month = {july},
512    keywords = {algorithms;discrete fourier transform;discrete fourier transform filter
513        banks;filter banks;filterbanks;fourier transform;gabor analysis;zak
514            transform},
515    mr = {MR1368684}
516}
517
518@article{bohlfe02,
519    title={{Frame-theoretic analysis of oversampled filter banks}},
520    author=bolsk # og # hlaw # og # fei,
521    journal={Signal Processing, IEEE Transactions on},
522    volume=46,
523    number=12,
524    pages={3256--3268},
525    issn={1053-587X},
526    year=2002,
527    publisher={IEEE}
528}
529
530@article{buma04,
531    author = "Bultheel, A. and Mart{\'i}nez, Sulbaran",
532    year = 2004,
533    title = {{Computation of the Fractional Fourier Transform}},
534    journal = acha,
535    volume = 16,
536    number = 3,
537    pages = "182-202",
538}
539
540@ARTICLE{ch95-2,
541    author = ole,
542    title = {Frames and pseudo-inverses},
543    journal = {J.\ Math.\ Anal.\ Appl.},
544    year = {1995},
545    volume = {195},
546    pages = {401--414},
547    keywords = {gabor analysis;pseudo-inverse},
548    mr = {MR1354551},
549    zbl = {0845.47002}
550}
551
552@ARTICLE{ja95,
553    author = jans,
554    title = {Duality and biorthogonality for {Weyl}-{Heisenberg} frames},
555    journal = jfaa,
556    year = {1995},
557    volume = {1},
558    pages = {403--436},
559    number = {4},
560    comment = { p069.pdf }
561}
562
563@ARTICLE{ja95-1,
564    author = jans,
565    title = {On Rationally Oversampled {Weyl}-{Heisenberg} Frames},
566    journal = sigproc,
567    year = {1995},
568    pages = {239--245},
569    comment = { 95001123.ps, dual opfylder betingelse A }
570}
571
572@ARTICLE{qife95,
573    author = qiu # og # fei,
574    title = {Discrete Gabor structures and optimal representations},
575    journal = ieeetransig,
576    year = {1995},
577    volume = {43},
578    pages = {2258 -2268},
579    number = {10},
580    copyright = {Copyright 1995, IEE},
581    issn = {1053587x},
582    publisher = {IEEE}
583}
584
585@ARTICLE{toor95,
586    author = tol # og # orr,
587    title = {Poisson Summation, the Ambiguity function, and the theory of {Weyl}-{Heisenberg}
588        systems},
589    journal = jfaa,
590    year = {1995},
591    volume = {1},
592    pages = {233--247},
593    number = {3},
594    comment = { orrpoisson.pdf }
595}
596
597@ARTICLE{ja94-3,
598    author = jans,
599    title = {Signal analytic proofs of two basic results on lattice expansions},
600    journal = acha,
601    year = {1994},
602    volume = {1},
603    pages = {350-354},
604    number = {4},
605    issn = {10635203},
606    language = {English},
607    publisher = {Academic Press, Inc.}
608}
609
610@ARTICLE{or93b,
611    author = orr,
612    title = {Derivation of the finite discrete {Gabor} Transform by periodization
613        and sampling},
614    journal = sigproc,
615    year = {1993},
616    volume = {34},
617    pages = {85--97},
618    number = {1},
619    issn = {01651684},
620    publisher = {Elsevier Science Publishers B.V.}
621}
622
623@ARTICLE{zezi93,
624    author = zeevi # og # zibul,
625    title = {Oversampling in the {Gabor} scheme},
626    journal = ieeetransig,
627    year = {1993},
628    volume = {41},
629    pages = {2679--2687},
630    number = {8}
631}
632
633@ARTICLE{ja88,
634    author = jans,
635    title = {The {Zak} transform: a signal transform for sampled time-continuous
636        signals},
637    journal = {Philips Journal of Research},
638    year = {1988},
639    volume = {43},
640    pages = {23-69},
641    number = {1},
642    issn = {01655817},
643    language = {English}
644}
645
646@ARTICLE{hi86p,
647    author = high,
648    title = {Computing the Polar Decomposition---with Applications},
649    journal = j-SISSC,
650    year = {1986},
651    volume = {7},
652    pages = {1160-1174},
653    number = {4},
654    month = oct,
655    mynote = {N.A. Report 94, November 1984. (Proof in Appendix is not in paper).}
656}
657
658@ARTICLE{fe81-3,
659    author = fei,
660    title = {On a new {Segal} Algebra},
661    journal = monat,
662    year = {1981},
663    volume = {92},
664    pages = {269--289},
665    number = {4}
666}
667
668@ARTICLE{grle04,
669    author = charlie # { and Leinert, Michael},
670    title = {Wiener's Lemma for Twisted Convolution and {Gabor} Frames},
671    journal = jams,
672    year = {2004},
673    volume = {17},
674    number = {1}
675}
676
677@ARTICLE{unaled93,
678    author = unser # og # {Aldroubi, A. and Eden, M.},
679    title = {B-spline signal processing. I. Theory},
680    journal = ieeetransig,
681    year = {1993},
682    volume = {41},
683    pages = {821 -833},
684    number = {2},
685    issn = {1053587x},
686    publisher = {IEEE}
687}
688
689@ARTICLE{unaled92,
690    author = unser # og # {Aldroubi, A. and Eden, M.},
691    title = {On the asymptotic convergence of B-spline wavelets to Gabor functions},
692    journal = {Information Theory, IEEE Transactions on},
693    year = {1992},
694    volume = {38},
695    pages = {864 -872},
696    number = {22},
697    issn = {00189448},
698    publisher = {IEEE}
699}
700
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1987    year = 2003,
1988    title = {{Nonuniform filter banks: New results and open problems}},
1989    booktitle = {{Studies in Computational Mathematics: Beyond Wavelets}},
1990    editor = {C.K. Chui, P. Monk and L. Wuytack},
1991    publisher = {{Elsevier B.V.}},
1992    pages = {259 -301},
1993    volume = {10},
1994    doi = {10.1016/S1570-579X(03)80038-1}
1995}
1996
1997@ARTICLE{cucla99,
1998    author = {Kurth, F. and Clausen, M.},
1999    title = {Filter bank tree and {M}-band wavelet packet algorithms in audio
2000        signal processing},
2001    journal = {Signal Processing, IEEE Transactions on},
2002    year = {1999},
2003    volume = {47},
2004    pages = {549-554},
2005    number = {2},
2006    month = {Feb},
2007    doi = {10.1109/78.740142},
2008    issn = {1053-587X}
2009}
2010
2011@article{bopachupeec11,
2012    author = {Boyd, Stephen and Parikh, Neal and Chu, Eric and Peleato, Borja and Eckstein, Jonathan},
2013    title = {Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers},
2014    journal = {Found. Trends Mach. Learn.},
2015    issue_date = {January 2011},
2016    volume = {3},
2017    number = {1},
2018    month = jan,
2019    year = {2011},
2020    issn = {1935-8237},
2021    pages = {1--122},
2022    numpages = {122},
2023    url = {http://dx.doi.org/10.1561/2200000016},
2024    doi = {10.1561/2200000016},
2025    acmid = {2185816},
2026    publisher = {Now Publishers Inc.},
2027    address = {Hanover, MA, USA},
2028}
2029
2030@article{se14,
2031    author = {Selesnick, I.},
2032    title = {{L1-Norm Penalized Least Squares with SALSA}},
2033    journal = {OpenStax\_CNX},
2034    url = {http://cnx.org/content/m48933/1.2/},
2035    month = jan,
2036    year = {2014},
2037}
2038
2039@inproceedings{king00,
2040    title = {A Dual-Tree Complex Wavelet Transform with Improved Orthogonality and Symmetry Properties.},
2041    author = {Kingsbury, Nick G.},
2042    booktitle = {ICIP},
2043    pages = {375-378},
2044    url = {http://dblp.uni-trier.de/db/conf/icip/icip2000.html#Kingsbury00},
2045    year = 2000
2046}
2047
2048@INPROCEEDINGS{king03,
2049    author={Kingsbury, Nick},
2050    booktitle={Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on},
2051    title={Design of Q-shift complex wavelets for image processing using frequency domain energy minimization},
2052    year={2003},
2053    month={Sept},
2054    volume={1},
2055    pages={I-1013-16 vol.1},
2056    doi={10.1109/ICIP.2003.1247137},
2057    ISSN={1522-4880}
2058}
2059
2060@article{king02,
2061    title = "Complex Wavelets for Shift Invariant Analysis and Filtering of Signals ",
2062    journal = "Applied and Computational Harmonic Analysis ",
2063    volume = "10",
2064    number = "3",
2065    pages = "234 - 253",
2066    year = "2001",
2067    note = "",
2068    issn = "1063-5203",
2069    doi = "http://dx.doi.org/10.1006/acha.2000.0343",
2070    author = "Nick Kingsbury"
2071}
2072
2073@article{abse05,
2074    title = {Symmetric nearly shift-invariant tight frame wavelets},
2075    author = {Abdelnour, A. Farras and Selesnick, Ivan W.},
2076    date = {2008-02-27},
2077    ee = {http://dx.doi.org/10.1109/TSP.2004.838959},
2078    journal = {IEEE Transactions on Signal Processing},
2079    volume = 53,
2080    number = 1,
2081    year = 2005,
2082    pages = {231-239},
2083}
2084
2085@article{seab04,
2086    title = "{S}ymmetric wavelet tight frames with two generators",
2087    author = "{S}elesnick, {I}van and {A}bdelnour, {A}.{F}arras ",
2088    year = "2004",
2089    journal = "{A}ppl. {C}omput. {H}armon. {A}nal.",
2090    volume = "17",
2091    number = "2",
2092    pages = "211-225",
2093    publisher = "{E}lsevier",
2094}
2095
2096@ARTICLE{bayse08,
2097    author={Bayram, I. and Selesnick, I.W.},
2098    journal={Signal Processing, IEEE Transactions on},
2099    title={On the Dual-Tree Complex Wavelet Packet and $M$-Band Transforms},
2100    year={2008},
2101    month={June},
2102    volume={56},
2103    number={6},
2104    pages={2298-2310},
2105    doi={10.1109/TSP.2007.916129},
2106    ISSN={1053-587X},
2107}
2108
2109@ARTICLE{se04,
2110    author={Selesnick, I.W.},
2111    journal={Signal Processing, IEEE Transactions on},
2112    title={The double-density dual-tree {DWT}},
2113    year={2004},
2114    month={May},
2115    volume={52},
2116    number={5},
2117    pages={1304-1314},
2118    doi={10.1109/TSP.2004.826174},
2119    ISSN={1053-587X}
2120}
2121
2122@article{dubase08,
2123    author    = {Bogdan Dumitrescu and
2124        Ilker Bayram and
2125            Ivan W. Selesnick},
2126    title     = {Optimization of Symmetric Self-Hilbertian Filters for the
2127        Dual-Tree Complex Wavelet Transform},
2128    journal   = {IEEE Signal Process. Lett.},
2129    volume    = {15},
2130    year      = {2008},
2131    pages     = {146-149},
2132    ee        = {http://dx.doi.org/10.1109/LSP.2007.913609},
2133}
2134
2135@INPROCEEDINGS{pabaso13,
2136    author={Perraudin, Nathana\"{e}l and }  # balazs # { and } # sonder,
2137    booktitle={Applications of Signal Processing to Audio and Acoustics (WASPAA), 2013 IEEE Workshop on},
2138    title={A fast {G}riffin-{L}im algorithm},
2139    year={2013},
2140    month={Oct},
2141    pages={1-4},
2142    doi={10.1109/WASPAA.2013.6701851},
2143    ISSN={1931-1168}
2144}
2145
2146@article{ltfatnote039,
2147    author = {Nicki Holighaus and Zden\v{e}k Pr\r{u}\v{s}a and Christoph Wiesmeyr },
2148    title = {Designing tight filter bank frames for nonlinear frequency scales},
2149    journal = {Sampling Theory and Applications 2015},
2150    year = {submitted, 2015}
2151}
2152
2153@article{ltfatnote041,
2154    author = {Nicki Holighaus and Zden\v{e}k Pr\r{u}\v{s}a and } # sonder,
2155    title = {Reassignment and synchrosqueezing for general time-frequency filter banks, subsampling and processing},
2156    journal = {{Signal Processing}},
2157    volume = {125},
2158    pages = {1--8},
2159    year = {2016},
2160    doi = {http://dx.doi.org/10.1016/j.sigpro.2016.01.007},
2161    url = {http://www.sciencedirect.com/science/article/pii/S0165168416000141},
2162    issn = {0165-1684}
2163}
2164
2165@article{fifu09,
2166    author    = {Kelly R. Fitz and
2167        Sean A. Fulop},
2168    title     = {A Unified Theory of Time-Frequency Reassignment},
2169    journal   = {CoRR},
2170    volume    = {abs/0903.3080},
2171    year      = {2009},
2172    url       = {http://arxiv.org/abs/0903.3080},
2173}
2174
2175@article{ne02,
2176    author    = {Douglas J. Nelson},
2177    title     = {Instantaneous Higher Order Phase Derivatives},
2178    journal   = {Digital Signal Processing},
2179    volume    = {12},
2180    number    = {2-3},
2181    pages     = {416--428},
2182    year      = {2002},
2183    url       = {http://dx.doi.org/10.1006/dspr.2002.0456},
2184    doi       = {10.1006/dspr.2002.0456}
2185}
2186
2187@ARTICLE{auchfl12,
2188    author={Auger, F. and Chassande-Mottin, E. and Flandrin, P.},
2189    journal={Signal Processing Letters, IEEE},
2190    title={On Phase-Magnitude Relationships in the Short-Time Fourier Transform},
2191    year={2012},
2192    month={May},
2193    volume={19},
2194    number={5},
2195    pages={267-270},
2196    doi={10.1109/LSP.2012.2190279},
2197    ISSN={1070-9908}
2198}
2199
2200@INPROCEEDINGS{auchfl12b,
2201    author={Auger, F. and Chassande-Mottin, E. and Flandrin, P.},
2202    booktitle={Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on},
2203    title={{Making reassignment adjustable: The Levenberg-Marquardt approach}},
2204    year={2012},
2205    month={March},
2206    pages={3889-3892},
2207    doi={10.1109/ICASSP.2012.6288767},
2208    ISSN={1520-6149},
2209}
2210
2211@techreport{ltfatnote042,
2212    title={{STFT and DGT phase conventions and phase derivatives interpretation}},
2213    author={Zden\v{e}k Pr\r{u}\v{s}a},
2214    year = 2015,
2215    institution =  {Acoustics Research Institute, Austrian Academy of Sciences},
2216    url = {http://ltfat.github.io/notes/ltfatnote042.pdf}
2217}
2218
2219@ARTICLE{desomada15,
2220    author={Decorsiere, R. and Søndergaard, P.L. and MacDonald, E.N. and Dau, T.},
2221    journal={Audio, Speech, and Language Processing, IEEE/ACM Transactions on},
2222    title={Inversion of Auditory Spectrograms, Traditional Spectrograms, and Other Envelope Representations},
2223    year={2015},
2224    month={Jan},
2225    volume={23},
2226    number={1},
2227    pages={46-56},
2228    doi={10.1109/TASLP.2014.2367821},
2229    ISSN={2329-9290},
2230}
2231
2232@InProceedings{ltfatnote043,
2233    author = {Zden\v{e}k Pr\r{u}\v{s}a and Peter L. S{\o}ndergaard},
2234    title = {{Real-Time Spectrogram Inversion Using Phase Gradient Heap Integration}},
2235    year={2016},
2236    month={Sep},
2237    booktitle={Proc. Int. Conf. Digital Audio Effects (DAFx-16)},
2238    note = {In preparation. Preprint will be available at http://ltfat.github.io/notes/ltfatnote043.pdf}
2239}
2240
2241@article{ltfatnote040,
2242    author = {Zden\v{e}k Pr\r{u}\v{s}a and Peter Balazs and Peter L. S{\o}ndergaard},
2243    title = {{A Non-iterative Method for STFT Phase (Re)Construction}},
2244    journal = { IEEE/ACM Transactions on Audio, Speech, and Language Processing},
2245    publisher = {ACM/IEEE},
2246    year = {2016},
2247    note = {In preparation. Preprint will be available at http://ltfat.github.io/notes/ltfatnote040.pdf}
2248}
2249
2250@article{ltfatnote038,
2251    author = {Zden\v{e}k Pr\r{u}\v{s}a and Peter L. S{\o}ndergaard and Pavel Rajmic},
2252    title = {{Discrete Wavelet Transforms in the Large Time-Frequency Analysis Toolbox for
2253        Matlab/GNU Octave}},
2254    journal = {ACM Trans. Math. Softw.},
2255    publisher = {ACM},
2256    address = {New York, NY, USA},
2257    year = {2016},
2258    note = {To appear. Preprint available from http://ltfat.github.io/notes/ltfatnote038.pdf}
2259}
2260
2261@article{grst13,
2262  author = charlie # " and {S}t{\"o}ckler, {J}oachim ",
2263  year = "2013",
2264  title = "{G}abor frames and totally positive functions",
2265  journal = "{D}uke {M}ath. {J}.",
2266  volume = "162",
2267  number = "6",
2268  pages = "1003-1031",
2269  organization = "others",
2270}
2271@ARTICLE{bagrst14,
2272  author = "{B}annert, {S}everin. and " # charlie # " and {S}t{\"o}ckler, {J}oachim ",
2273  year = "2014",
2274  title = "{D}iscretized {G}abor frames of totally positive functions",
2275  journal = "{I}nformation {T}heory, {I}{E}{E}{E} {T}ransactions on",
2276  volume = "60",
2277  number = "1",
2278  pages = "159-169",
2279}
2280
2281@article{klst14,
2282 author = {Kloos, Tobias and Stockler, Joachim},
2283 title = {Full Length Article: Zak Transforms and Gabor Frames of Totally Positive Functions and Exponential B-splines},
2284 journal = {J. Approx. Theory},
2285 issue_date = {August, 2014},
2286 volume = {184},
2287 month = aug,
2288 year = {2014},
2289 issn = {0021-9045},
2290 pages = {209--237},
2291 numpages = {29},
2292 url = {http://dx.doi.org/10.1016/j.jat.2014.05.010},
2293 doi = {10.1016/j.jat.2014.05.010},
2294 acmid = {2644978},
2295 publisher = {Academic Press, Inc.},
2296 address = {Orlando, FL, USA},
2297}
2298
2299@mastersthesis{kl12,
2300 author={Kloos, Tobias},
2301 title={Gabor Frames total-positiver Funktionen endlicher Ordnung},
2302 school={University of Dortmund},
2303 address={Dortmund, Germany},
2304 year={2012}
2305}
2306
2307@ARTICLE{klstgr16,
2308author="Kloos, Tobias and Stockler, Joachim and " # charlie,
2309journal={IEEE Transactions on Information Theory},
2310title={Implementation of Discretized Gabor Frames and Their Duals},
2311year={2016},
2312volume={62},
2313number={5},
2314pages={2759-2771},
2315doi={10.1109/TIT.2016.2541918},
2316ISSN={0018-9448},
2317month={May},
2318}
2319
2320@Unpublished{Necciari2016_sub,
2321Title = {Can Frames Provide Gammatone Filter Banks with Perfect Reconstruction?},
2322Author = {Necciari, T. and Holighaus, N. and Balazs, P. and Pr\r{u}\v{s}a, Z. and Majdak, P.},
2323Note = {submitted}
2324}
2325
2326@ARTICLE{finowr07,
2327author={M. A. T. Figueiredo and R. D. Nowak and S. J. Wright},
2328journal={IEEE Journal of Selected Topics in Signal Processing},
2329title={Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems},
2330year={2007},
2331volume={1},
2332number={4},
2333pages={586-597},
2334doi={10.1109/JSTSP.2007.910281},
2335ISSN={1932-4553},
2336month={Dec},}
2337
2338@article{jato07,
2339  author = {Jaillet, Florent and Torrésani, Bruno},
2340  journal = {IJWMIP},
2341  number = 2,
2342  pages = {293-315},
2343  title = {Time-Frequency Jigsaw Puzzle: Adaptive Multiwindow and Multilayered Gabor Expansions.},
2344  volume = 5,
2345  year = 2007
2346}
2347
2348@Article{nehobaprpide18,
2349AUTHOR = {Necciari, Thibaud and Holighaus, Nicki and Balazs, Peter and Průša, Zdeněk and Majdak, Piotr and Derrien, Olivier},
2350TITLE = {Audlet Filter Banks: {A} Versatile Analysis/Synthesis Framework Using Auditory Frequency Scales},
2351JOURNAL = {Applied Sciences},
2352VOLUME = {8},
2353YEAR = {2018},
2354NUMBER = {1},
2355URL = {http://www.mdpi.com/2076-3417/8/1/96},
2356ISSN = {2076-3417},
2357DOI = {10.3390/app8010096}
2358}
2359
2360@INPROCEEDINGS{parekr93,
2361author={Y. C. Pati and R. Rezaiifar and P. S. Krishnaprasad},
2362booktitle={Proc. 27th Asilomar Conference on Signals, Systems and Computers},
2363title={Orthogonal matching pursuit: {R}ecursive function approximation with applications to wavelet decomposition},
2364year={1993},
2365pages={40--44 vol.1},
2366optdoi={10.1109/ACSSC.1993.342465},
2367ISSN={1058-6393},
2368month={Nov},}
2369
2370@article{blda08b,
2371  title={Gradient pursuits},
2372  author={Blumensath, T. and Davies, M. E.},
2373  journal={IEEE Tran. Signal Processing},
2374  volume={56},
2375  number={6},
2376  pages={2370--2382},
2377  year={2008},
2378  publisher={IEEE}
2379}
2380
2381@article{ltfatnote052,
2382    author = {Zden\v{e}k Pr\r{u}\v{s}a} ,
2383    title = {Fast Matching Pursuit with Multi-Gabor Dictionaries},
2384    journal = {{Submitted.}},
2385    year = {2018},
2386    url = {https://ltfat.github.io/notes/ltfatnote052.pdf},
2387}
2388