Constructing pairs of dual bandlimited framelets with desired time localization

Advances in Computational Mathematics

Volumn 30, Issue 3, 2009, Pages 231-247

  Lemvig, Jakob ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Bandlimited wavelets; Dual frames; Framelets; Non tight frames; Partition of unity

Indexed keywords

EID: 60749136596     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-008-9066-7     Document Type: Article

References (13)

1. n, J. Fourier Anal. Appl. 5(6). 563-573 (1999)
2. Benedetto, J.J., Li, S.: The theory of multiresolution analysis frames and applications to filter banks. Appl. Comput. Harmon. Anal. 5(4), 389-427 (1998)"
3. Blu. T., Unser, M.: The fractional spline wavelet transform: definition and implementation. In: Proceedings of the Twenty-Fifth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2000), pp. 512-515. Istanbul, Turkey, 5-9 June 2000
4. Bownik. M., Speegle, D.: The wavelet dimension function for real dilations and dilations admit-ting non-MSF wavelets. In: Chui, C.K. et al. (ed.) Approximation Theory, X. Wavelets, Splines, and Applications, Papers from the 10th International Symposium, St. Louis, Mo, USA, 26-29 March 2001. Innov. Appl. Math., pp. 63-85. Vanderbilt Univ. Press, Nashville, TN (2002)
5. Christensen, O.: An Introduction to Frames and Riesz Bases. Birkhäuser Boston, Boston (2003)
6. Christensen. O.: Pairs of dual Gabor frame generators with compact support and desired frequency localization. Appl. Comput. Harmon. Anal. 20(3), 403-410 (2006)
7. Chui, C.K., Shi, X.: Orthonormal wavelets and tight frames with arbitrary real dilations. Appl. Comput. Harmon. Anal. 9(3). 243-264 (2000)
8. Chui. C.K., He, W., Stöckier, J.: Compactly supported tight and sibling frames with maximum vanishing moments. Appl. Comput. Harmon. Anal. 13(3), 224-262 (2002)
9. Daubechies, I., Han, B., Ron. A., Shen. Z.: Framelets: MRA-based constructions of wavelet frames. Appl. Comput. Harmon. Anal. 14(1), 1-46 (2003)
10. d). Trans. Amer. Math. Soc. 341(2), 787-806 (1994)
11. Hernández, E.. Weiss, G.: A First Course on Wavelets. Studies in Advanced Mathematics. CRC, Boca Raton (1996)
12. d): the analysis of the analysis operator. J. Funct. Anal. 148(2), 408-447 (1997)
13. d). Math. Comp. 67(221), 191-207 (1998)