Adapted Bases of Time-Frequency Local Cosines

Applied and Computational Harmonic Analysis

Volumn 10, Issue 2, 2001, Pages 139-162

  Villemoes, Lars F ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035276601     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.2000.0335     Document Type: Article

References (19)

1. Auscher P., Weiss G., Wickerhauser M. V. Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets. Wavelet Anal. Appl. 2:1992;237-256.
2. Brandenburg K., Stoll G., Dehéry Y.-F., Johnston J. D., van der Kerkhof L., Schröder E. F. ISO-MPEG-1 Audio: A generic standard for coding of high-quality digital audio. J. Audio Engrg. Soc. 42:1994;780-792.
3. Coifman R. R., Meyer Y. Remarques sur lranalyse de Fourier à fenêtre. C. R. Acad. Sci. Paris Sér. I. 312:1991;259-261.
4. Coifman R. R., Meyer Y., Wickerhauser M. V. Size properties of wavelet packets. Ruskai M. B. Wavelets and Their Applications. 1992;453-470 Jones & Bartlett, Boston.
5. Coifman R. R., Wickerhauser M. V. Entropy-based algorithms for best basis selection. IEEE Trans. Inform. Theory. 38:1992;713-718.
6. Cohen I., Raz S., Malah D. Orthonormal shift-invariant adaptive local trigonometric decomposition. Signal Process. 57:1997;43-64.
7. DeVore R. A., Temlyakov V. N. Some remarks on greedy algorithms. Adv. Comput. Math. 5:1996;173-187.
8. Donoho D. L., Johnstone I. M. Ideal denoising in an orthonormal basis chosen from a library of bases. C. R. Acad. Sci. Paris Sér. I. 319:1994;1317-1322.
9. D. L. Donoho, S. Mallat, and, R. von Sachs, Estimating covariances of locally stationary processes: rates of convergence of best basis methods, Technical Report, Department of Statistics, Stanford University, 1998.
10. Edler B. Coding of audio signals with overlapping block transforms and adaptive window functions. Frequenz. 43:1989;252-256.
11. Fang X., Seré E. Adapted multiple folding local trigonometric transforms and wavelet packets. Appl. Comput. Harmon. Anal. 1:1994;169-179.
12. Gröchenig K., Samarah S. Non-linear approximation with local Fourier bases. Constr. Approx. 16:2000;317-331.
13. Malvar H. S. Lapped transforms for efficient transform/subband coding. IEEE Trans. Acoust. Speech Signal Process. 38:1990;969-978.
14. Mallat S., Papanicolaou G., Zhang Z. Adaptive covariance estimation of locally stationary processes. Ann. Statist. 26:1998;1-47.
15. Princen J. P., Bradley A. B. Analysis/synthesis filter bank design based on time domain aliasing cancellation. IEEE Trans. Acoust. Speech Signal Process. 34:1986;1153-1161.
16. Ramchandran K., Vetterli M. Best wavelet packet bases in a rate-distortion sense. IEEE Trans. Image Process. 2:1993;160-175.
17. Saito N., Coifman R. R. Improved discriminant bases using empirical probability density estimation. Proc. Computing Section of Amer. Statist. Assoc. 1997;. p. 312-321.
18. Villemoes L. F. Nonlinear approximation with Walsh atoms. Le Méhauté A., Rabut C., Schumaker L. L. Surface Fitting and Multiresolution Methods. 1997;329-336 Vanderbilt Univ. Press, Nashville.
19. Wickerhauser M. V. Adapted Wavelet Analysis from Theory to Software. 1994;A. K. Peters.