Noise reduction in terms of the theory of frames

Wavelet Analysis and Its Applications

Volumn 7, Issue C, 1998, Pages 259-284

  Benedetto, John J ^a  

^a Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77950673645     PISSN: 1874608X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1874-608X(98)80010-1     Document Type: Chapter

References (20)

1. Barreto A., J. P., and Reid S. STL:A spatio-temporalcharacterizationoffocalinterictalevents. Brain Topography 5 (1993) 215-228
2. Benedetto J.J. Irregular sampling and frames. In: Chui C.K. (Ed). Wavelets: a Tutorial in Theory and Applications (1992), Academic Press 445-507
3. Benedetto J.J. Frame decompositions, sampling, and uncertainty principle inequalities. In: Benedetto J.J., and Frazier M. (Eds). Wavelets: Mathematics and Applications (1994), CRC Press, New York 247-304
4. Benedetto J.J., and Colella D. Wavelet analysis of spectrogram seizure chirps. Proceedings of the SPIE. San Diego (1995)
5. preprint. Benedetto J.J., Harrison M.L., and Heller W. A double window frame decomposition and irregular sampling (1996)
6. Benedetto J.J., and Heller W. Irregular sampling and the theory of frames. Note di Matematica X, Suppl. n. 1 (1990) 103-125
7. Benedetto J.J., and Li S. Multiresolution analysis frames with applications. Proc. ICASSP-93 (1993)
8. Benedetto J.J., and Li S. Narrow band frame multiresolution analysis with perfect reconstruction. Proceedings of IEEE-SP International Symposium on Time Frequency and Time Scale Analysis. Philadelphia (1994)
9. Benedetto, J. J. and S. Li, Subband coding and noise reduction in multiresolution analysis frames, in Proceedings of the SPIE Wavelet Applications in Signal and Image Processing, San Diego, 199, volume 2303, pp. 154-1654.
10. preprint. Benedetto J.J., and Li S. The theory of multiresolution analysis frames and applications to filter banks (1996)
11. Benedetto J.J., and Teolis A. A wavelet auditory model and data compression. Appl Comp. Harmonic Analysis 1 (1993) 3-28
12. Benedetto, J. J. and A. Teolis, U.S. Patent Number 5, pages 388 and 182, 1995.
13. I. D. Ten Lectures on Wavelets. CBMS-NSF Regional Conference Series in Appl. Math. #61 (1992), SIAM, Boca Raton, FL
14. Daubechies I., Grossmann A., and Meyer Y. Painless nonorthogonal expansions. J. Math. Physics 27 (1986) 1271-1283
15. Donoho D.L. De-noising by soft-thresholding. IEEE Trans. Information Theory 41 (1995) 613-627
16. Duffin R.J., and Schaeffer A.C. A class of non harmonic Fourier, series. Trans. Amer. Math. Soc. 72 (1952) 341-366
17. Harrison M.L. Ph.D. Thesis, University of Maryland, College Park, MD (1996)
18. Hummel R., and Moniot R. Reconstructions from zero crossings in scale space. IEEE Trans. Acoustics, Speech, Signal Processing 37 (1989) 2111-2130
19. Janssen A.J.E.M. Duality and biorthogonality for Weyl-Heisenberg frames. J. Fourier Anal. Appl. 1 (1995) 403-436
20. to appear. Li S. General frame decompositions, pseudo-duals and its application to Weyl-Heisenberg frames. Numer. Functional Anal. Optimization (1995)