The canonical dual frame of a wavelet frame

Applied and Computational Harmonic Analysis

Volumn 12, Issue 3, 2002, Pages 269-285

  Daubechies, Ingrid ^a   Han, Bin ^b  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Dual wavelet frame; The canonical dual frame; Wavelet frame

Indexed keywords

DUAL WAVELET FRAMES; THE CANONICAL DUAL FRAME; WAVELET FRAMES;

COMPUTATIONAL COMPLEXITY; FUNCTIONS; MATHEMATICAL OPERATORS; POLYNOMIALS; SET THEORY; THEOREM PROVING;

WAVELET TRANSFORMS;

EID: 0038704819     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.2002.0381     Document Type: Article

References (8)

1. C. K. Chui and X. L. Shi, Inequalities of Littlewood-Paley type for frames and wavelets, SIAM J. Math. Anal. 24 (1993), 263-277.
2. I. Daubechies, The wavelet transform, time-frequency localization and signal analysis, IEEE Trans. Inform. Theory 36 (1990), 961-1005.
3. I. Daubechies, "Ten Lectures on Wavelets," CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 61, SIAM, Philadelphia, PA, 1992.
4. I. Daubechies and B. Han, Pairs of dual wavelet frames from any two refinable functions, Constr. Appr., to appear.
5. R. J. Duffin and A. C. Schaeffer, A class of nonharmonic Fourier series, Trans. Amer. Math. Soc. 72 (1952), 341-366.
6. B. Han, On dual wavelet tight frames, Appl. Comput. Harmon. Anal. 4 (1997), 380-413.
7. M. A. Naimark, "Normed Rings," Noordhoff, Groningen, 1959.
8. d). II. Dual systems, J. Fourier Anal. Appl. 3 (1997), 617-637.