Gabor dual spline windows

Applied and Computational Harmonic Analysis

Volumn 27, Issue 2, 2009, Pages 180-194

  Laugesen, R S ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Dual frame; Gabor system

Indexed keywords

DUAL FRAME; GABOR SYSTEM; MODULATION PARAMETERS; POLYNOMIAL SPLINES; WINDOW FUNCTIONS;

POLYNOMIAL APPROXIMATION; SPLINES;

WINDOWS;

EID: 67650441819     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2009.02.002     Document Type: Article

References (11)

1. Christensen O. An Introduction to Frames and Riesz Bases (2003), Birkhäuser, Boston
2. Christensen O. Frames and Bases: An Introductory Course. Appl. Numer. Harmon. Anal. (2008), Birkhäuser Boston, Boston, MA
3. Christensen O. Pairs of dual Gabor frame generators with compact support and desired frequency localization. Appl. Comput. Harmon. Anal. 20 (2006) 403-410
4. d). J. Fourier Anal. Appl. 12 (2006) 243-255
5. O. Christensen, R.Y. Kim, On dual Gabor frame pairs generated by polynomials, J. Fourier Anal. Appl., in press
6. Christensen O., and Laugesen R.S. Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames, preprint (2008). http://www.math.uiuc.edu/~laugesen/
7. Daubechies I., Grossmann A., and Meyer Y. Painless nonorthogonal expansions. J. Math. Phys. 27 (1986) 1271-1283
8. In: Feichtinger H.G., and Strohmer T. (Eds). Gabor Analysis and Algorithms. Appl. Numer. Harmon. Anal. (1998), Birkhäuser Boston, Boston, MA
9. Gröchenig K. Foundations of Time-Frequency Analysis. Appl. Numer. Harmon. Anal. (2001), Birkhäuser Boston, Boston, MA
10. Janssen A.J.E.M. The duality condition for Weyl-Heisenberg frames. In: Feichtinger H.G., and Strohmer T. (Eds). Gabor Analysis and Algorithms. Appl. Numer. Harmon. Anal. (1998), Birkhäuser Boston, Boston, MA 33-84
11. Lemvig J. Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math. 30 3 (2009) 231-247