Projection based prefiltering for multiwavelet transforms

IEEE Transactions on Signal Processing

Volumn 46, Issue 11, 1998, Pages 3068-3081

  Vrhel, Michael J ^a   Aldroubi, Akram ^b  

^a Color Savvy Systems Limited ^*  (United States)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747683495     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.726819     Document Type: Article

References (11)

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2. J.S. Geronimo, D. P. Hardin, and P. R. Massopust, "Fractal functions and wavelet expansions based on several scaling functions," J. Approx. Theory, vol. 78, pp. 373-401, 1994.
3. G. Strang and T. Nguyen, Wavelets and Filter Banks. Wellesley, MA: Wellesley-Cambridge, 1996.
4. A. Aldroubi, "Oblique and hierachical multiwavelet bases," Appt. Cornput. Harmon. Anal. vol. 4, pp. 231-263, 1997.
5. A. Aldroubi and J. McGowan, "Oblique and biorthogonal multiwavelet spaces with optimal properties," Mathematical Imaging: Wavelet Applications in Signal and Image Processing. Bellingham, WA: SPIE, 1995, vol. 2569, pp. 15-26.
6. M. Unser and A. Aldroubi, "A general sampling theory for nonideal acquisition devices," IEEE Trans. Signal Processing, vol. 42, pp. 2915-2925, Nov. 1994.
7. A. Aldroubi and M. Unser, "Sampling procedures in function spaces and asymptotic equivalence with Shannon's sampling theory," Numer. Fund. Anal. Optimiz.. vol. 15, no. 1, pp. 1-21, 1994.
8. A. Aldroubi, "Oblique projections in atomic spaces," in Proc. Amer. Math. Soc.. 1996, vol. 124, no. 7, pp. 2051-2060.
9. C. Heil, G. Strang, and V. Strela, "Approximation order by translates
10. of refinable functions," preprint, 1995.
11. M.J. Vrhel and A. Aldroubi, "Pre-filtering for the initialization of multi-wavelet transforms," in Proc. IEEE ICASSP. to be published.