High-Order Orthonormal Scaling Functions and Wavelets Give Poor Time-Frequency Localization

Journal of Fourier Analysis and Applications

Volumn 2, Issue 5, 1996, Pages

  Chui, Charles K ^a   Wang, Jianzhong ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b SAM HOUSTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84951610937     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Battle, G. (1987). A block spin construction of ondelettes, Part I: Lemarié functions. Comm. Math. Phys. 110, 601-615.
2. Chui, C. K. (1992). An Introduction to Wavelets. Academic Press, Boston, MA.
3. Chui, C. K. and Wang, J. Z. (1993). A Study of Asymptotically Optimal Time-Frequency Windows of Scaling Functions and Wavelets. CAT Report #323, Texas A&M University, College Station, TX.
4. Chui, C. K. and Wang, J. Z. (1994). A study of compactly supported scaling functions and wavelets. Curves and Surfaces II (P. J. Laurent, A. LeMéhauté, and L. L. Schumaker, eds.). A. K. Peters Publ., Boston, MA.
5. Daubechies, I. (1992). Ten Lectures on Wavelets. CBMS-NSF Ser. in Appl. Math., no. 61. Society for Industrial and Applied Mathematics, Philadelphia, PA.
6. Dorize, C. and Villemoes, L. F. (1991). Optimizing time-frequency resolution of orthonormal wavelets. Proc. ICASSP, 2029-2032.
7. Goodman, T. N. T. and Micchelli, C. A. (1992). On refinement equations determined by Pólya frequency sequences. SIAM J. Math. Anal. 23, 776-784.
8. Karlin, S. (1968). Total Positivity. Stanford University Press, Stanford, CA.
9. Lemarié, P. G. (1988). Ondelettes à localisation exponentielles. J. Math. Pure et Appl. 67, 227-236.
10. Kateb, D. and Lemarié-Rieusset, P. G. (1994). The Phase of the Daubechies Filters. Univ. de Paris-Sud Math. Report #94-62, Centre d'Orsay, France.