Signal Processing

Title/Citation
Redundancy for localized and Gabor frames

R. Balan, P. Casazza and Z. Landau, Redundancy for localized and Gabor frames, preprint.

Redundancy for localized and Gabor frames

R. Balan, P. Casazza and Z. Landau, Redundancy for localized and Gabor frames, preprint. 

Error Correction for Erasures of Quantized Frame Coefficients

B. Bodmann, P.G. Casazza, G. Kutyniok and S. Senger, Error Correction for Erasures of Quantized Frame Coefficients, SampTA'09 (Marseille, France, 2009), Proc., 2009. 

A Low Complexity Replacement Scheme for Erased Frame Coefficients

B. Bodmann, P.G. Casazza, G. Kutyniok and S. Senger, A Low Complexity Replacement Scheme for Erased Frame Coefficients, Wavelets XIII (San Diego, CA, 2009), 74460O-1 - 74460O-10, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009. 

Redundancy for localized frames

R. Balan, P.G. Casazza and Z. Landau, Redundancy for localized frames, Submitted (2009).

Density, Overcompleteness and Localizations of Frames, 2. Gabor Systems

R. Balan, P.G. Casazza, C. Heil and Z. Landau, Density, Overcompleteness and Localizations of Frames, 2. Gabor Systems, Journal of Fourier Analysis and Applications, Vol. 12 No. 3 (2006) 309-344. 

Fourier Transforms of Finite Chirps

P.G. Casazza and M. Fickus, Fourier Transforms of Finite Chirps, EURASIP Journal on Applied Signal Processing, 1 (2006) 1-7. 

Perturbations and Irregular Sampling Theorems for Frames

P.G. Casazza, G. Liu, C. Zhao, and P. Zhao, Perturbations and Irregular Sampling Theorems for Frames, IEEE Transactions on Information Theory, Vol 52 No. 10 (2006) 4643-4648. 

Chirps on Finite Cyclic Groups

P.G. Casazza and M. Fickus, Chirps on Finite Cyclic Groups, Proceedings of SPIE, Vol. 5914 (2005) 5914N(1-6). 

Duality Principles, Localization of Frames, and Gabor Theory

P.G. Casazza, G. Kutyniok and M.C. Lammers, Duality Principles, Localization of Frames, and Gabor Theory, Vol. 10 (2005) 383-408. 

An Introduction to Irregular Weyl-Heisenberg Frames

P.G. Casazza, An Introduction to Irregular Weyl-Heisenberg Frames, Sampling, Wavelets, and Tomography, Benedetto and Zayed, eds.. Birkhäuser, Boston (2003) pp. 61-82.

Gabor Frames over Irregular Lattices

P.G. Casazza and O. Christensen, Gabor Frames over Irregular Lattices, Advances in Computational Math vol. 18, Nos. 2-4 (2003) pp. 329-344. 

Excesses of Gabor Frames

R. Balan, P.G. Casazza, C. Heil and Z. Landau, Excesses of Gabor Frames, Applied and Computational Harmonic Analysis Vol. 14 (2003) pp. 87-106. 

Bracket Products for Weyl-Heisenberg Frames

P.G. Casazza and M. Lammers, Bracket Products for Weyl-Heisenberg Frames, Advances in Gabor Analysis. H.G. Fiechtinger and T. Strohmer, eds. Birkhäuser, Boston (2003) pp. 71-98. 

Perturbations of Weyl-Heisenberg Frames

P.G. Casazza, O. Christensen and M.C. Lammers, Perturbations of Weyl-Heisenberg Frames, Hokkaido Mathematical Journal, Vol. XXXI, No. 3 (2002) pp. 539-553. 

Roots of Complex Polynomials and Weyl-Heisenberg Frame Sets

P.G. Casazza and N.J. Kalton, Roots of Complex Polynomials and Weyl-Heisenberg Frame Sets, Proceedings AMS vol. 130, No. 8 (2002) 2313-2318. 

Analyzing the Weil-Heisenberg Frame Identity

P.G. Casazza and M.C. Lammers, Analyzing the Weil-Heisenberg Frame Identity, Applied and Computational Harmonic Analysis, vol. 12 (2002) 171-178. 

Classifying Irregular Gabor Frames

P.G. Casazza, O. Christensen, Classifying Irregular Gabor Frames, Proceedings of SAMPTA 2001, A.I. Zayed ed., IEEE Publications, (2001) 73-78. 

Weyl-Heisenberg Frames, Translation Invariant Systems and the Walnut Representation

P.G. Casazza, O. Christensen and A.J.E.M. Janssen, Weyl-Heisenberg Frames, Translation Invariant Systems and the Walnut Representation, J. Functional Analysis Vol. 180, No. 1 (2001) 85-147. 

Weyl-Heisenberg Frames for Subspaces of L2(R)

P.G. Casazza and O. Christensen, Weyl-Heisenberg Frames for Subspaces of L2(R), Proceedings AMS, Vol. 129, No. 1 (2001) 145-154. 

Classifying Characteristic Functions giving Weyl-Heisenberg Frames

P.G. Casazza and M.C. Lammers, Classifying Characteristic Functions giving Weyl-Heisenberg Frames, SPIE Proc. 4001 (2000). Wavlet Applications in Signal and Image Processing, A. Aldroubi, Z. Landeu, N. Unser, eds. 

Uniform Tight Frames for Signal Processing and Communication

P.G. Casazza and J. Kovacevic, Uniform Tight Frames for Signal Processing and Communication, SPIE Proc., San Diego (2001). Wavelet Applications in Signal and Image Processing, A. Aldroubi, Z. Landeu, N. Unser, eds. Proceedings of SPIE, vol. 4119, SPIE, Bellingham, WA (2000) 129-134. 

Modern Tools for Weyl-Heisenberg (Gabor) Frame Theory

P.G. Casazza, Modern Tools for Weyl-Heisenberg (Gabor) Frame Theory, Advances in Imaging and Electron Physics 115 (2000) 1-127. 

Classifying Tight Weyl-Heisenberg Frames

P.G. Casazza, O. Christensen, and A.J.E.M. Janssen, Classifying Tight Weyl-Heisenberg Frames, The functional and harmonic analysis of wavelets and frames (San Antonio, TX, 1999), 131-148, Contemp. Math., 247, Amer. Math. Soc., Providence, RI, 1999. 

Approximation of the Inverse Frame Operator and Applications to Gabor Frames

P.G. Casazza and O. Christensen, Approximation of the Inverse Frame Operator and Applications to Gabor Frames, Approximation Theory IV, vol. 1: Theoretical Aspects, C. Chui and L. Schumaker eds., Vanderbilt University Press (1999) p. 67-74.