[1] A. Aldroubi, C. Cabrelli and U. Molter, Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for Appl. Comput. Harmon. Anal. 17(2) (2004), 119-140.
[2] A. Aldroubi and K. Gröchenig, Non-uniform sampling and reconstruction in shift-invariant spaces, SIAM Review, 43 (2001), 585-620.
[3] P. Balazs, Regular and irregular Gabor multipliers with application to psychoacoustic masking, Ph.D Thesis, University of Vienna, June 2005.
[4] P. Balazs, B. Laback, G. Eckel and W. A. Deutsch, Time-frequency sparsity by removing perceptually irrelevant components using a simple model of simultaneous masking, IEEE Transactions on Audio, Speech and Language Processing, 18(1) (2010), 34-49.
[5] E. DiBenedetto, Real Analysis, Birkhäuser, Boston, 2002.
[6] J. J. Benedetto and O. Treiber, Wavelet Transforms and Time-frequency Signal Analysis, Wavelet Frames: Multiresolution Analysis and Extension Principles, Birkhäuser, 2001.
[7] A. Beurling, Local harmonic analysis with some applications to differential operators, Proc. Ann. Science Conf., Belfer Grad. School of Science, 1966, pp. 109-125.
[8] M. Bownik, The structure of shift-invariant subspaces of J. Funct. Anal. 177(2) (2000), 282-309.
[9] P. Casazza, O. Christensen and N. J. Kalton, Frames of translates, Collectanea Mathematica 1 (2001), 35-54.
[10] O. Christensen, An Introduction to Frames and Riesz Bases, Birkhäuser 2003.
[11] O. Christensen, B. Deng and C. Heil, Density of Gabor frames, Appl. Comp. Harm. Anal. 7 (1999), 292-304.
[12] I. Daubechies and R. DeVore, Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order, Ann. of Math. (2) 158(2) (2003), 679-710.
[13] C. de Boor, R. A. DeVore and A. Ron, Approximation from shift-invariant subspaces of Trans. Amer. Math. Soc. 341(2) (1994), 787-806.
[14] M. Dolson, The phase vocoder: a tutorial, Computer Musical J. 10(4) (1986), 11-27.
[15] R. J. Duffin and A. C. Schaeffer, A class of nonharmonic Fourier series, Trans. Amer. Math. Soc. 72 (1952), 341-366.
[16] H. G. Feichtinger and K. Nowak, A First Survey of Gabor Multipliers, Chapter 5, Birkhäuser, Boston, 2003, pp. 99-128.
[17] G. B. Folland, Real Analysis, Modern Techniques and their Applications, 2nd ed., Wiley, 1999.
[18] L. Grafakos, Classical Fourier Analysis, Springer, New York, 2008.
[19] R. Gribonval and M. Nielsen, Sparse representations in unions of bases, IEEE Trans. Inform. Theory 49 (2003), 3320-3325.
[20] G. Matz and F. Hlawatsch, Linear Time-frequency Filters: On-line Algorithms and Applications, Chapter 6 in ‘Application in Time-frequency Signal Processing’, A. Papandreou-Suppappola, eds., Boca Raton (FL): CRC Press, 2002, pp. 205-271.
[21] S. Jaffard, A density criterion for frames of complex exponentials, Michigan Math. J. 38(3) (1991), 339-348.
[22] H. J. Landau, Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967), 37-52.
[23] Y. I. Lyubarskii and K. Seip, Sampling and interpolating sequences for multiband- limited functions and exponential bases on disconnected sets, J. Fourier Anal. Appl. 3(5) (1997), 597-615.
[24] Y. I. Lyubarskii and A. Rashkovskii, Complete interpolating sequences for Fourier transforms supported by convex symmetric polygons, Ark. Mat. 38(1) (2000), 139‑170.
[25] P. Majdak, P. Balazs, W. Kreuzer and M. Drfler, A time-frequency method for increasing the signal-to-noise ratio in system identification with exponential sweeps, Proceedings of the 36th International Conference on Acoustics, Speech and Signal Processing, ICASSP 2011, Prag, 2011.
[26] B. S. Pavlov, The basis property of a system of exponentials and the condition of Muckenhaupt, Dokl. Akad. Nauk SSSR 247(1) (1979), 37-40.
[27] K. Seip, On the connection between exponential bases and certain related sequences in J. Funct. Anal. 130(1) (1995), 131-160.
[28] K. Seip, Interpolation and sampling in spaces of analytic functions, University Lecture Series, 33, Amer. Math. Soc., Providence, RI, 2004.
[29] R. Young, An Introduction to Nonharmonic Fourier Series, Academic Press, 1980. |