Construction of symmetric orthogonal bases of wavelets and tight wavelet frames with integer dilation factor

Applied and Computational Harmonic Analysis

Volumn 17, Issue 2 SPEC. ISS., 2004, Pages 198-210

  Petukhov, Alexander ^a  

^a UNIVERSITY OF GEORGIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; FOURIER TRANSFORMS; FUNCTIONS; HARMONIC ANALYSIS; INTEGER PROGRAMMING; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIALS;

FRAME GENERATOR; MULTIRESOLUTION ANALYSIS (MRA); TRIGNOMETRY; WAVELET BASES;

WAVELET TRANSFORMS;

EID: 4344676429     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.acha.2004.05.002     Document Type: Article

References (11)

1. Bownik M. Tight frames of multidimensional wavelets. J. Fourier Anal. Appl. 3:1997;525-542.
2. Chui C., He W. Compactly supported tight frames associated with refinable function. Appl. Comput. Harmon. Anal. 8:2000;293-319.
3. Chui C.K., Lian J. Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale=3 . Appl. Comput. Harmon. Anal. 2:1995;21-51.
4. Han B. Symmetric orthonormal scaling functions and wavelets with dilation factor 4. Adv. Comput. Math. 8:1998;221-247.
5. M.J. Lai, J. Stöckler, Construction of compactly supported wavelet frames, Preprint, 2003.
6. Lawton W. Tight frames of compactly supported affine wavelets. J. Math. Phys. 31:1990;1898-1901.
7. Lawton W., Lee S.L., Shen Z. An algorithm for matrix extension and wavelet construction. Math. Comput. 65:1996;723-737.
8. 2(ℝ) . Trans. Amer. Math. Soc. 315:1989;69-87.
9. Petukhov A. Explicit construction of framelets. Appl. Comput. Harmon. Anal. 11:2001;313-327.
10. Petukhov A. Symmetric framelets. Constr. Approx. 19:2003;309-328.
11. d) : the analysis of the analysis operator. J. Funct. Anal. 148:1997;408-447.