Translation and dilation invariance in orthogonal wavelets

Applied and Computational Harmonic Analysis

Volumn 1, Issue 4, 1994, Pages 344-349

  Walter, Gilbert G ^a  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0028495006     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.1994.1020     Document Type: Article

References (11)

1. P. Auscher, G. Weiss, and M. V. Wickerhauser, Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets, in "Wavelets-A Tutorial in Theory and Applications" (C. K. Chui, Ed.), pp. 237-256, Academic Press, New York. 1992.
2. C. K. Chui, "An Introduction to Wavelets,” Academic Press, New York, 1992.
3. R. R. Coifman and Y. Meyer, Remarques sur l'analyse de Fourier à fenêtre. C. R. Acad Sci. Paris Ser. 1 312 (1991), 259-261.
4. I. Daubechies, "Ten Lectures on Wavelets," SIAM. Philadelphia, 1992.
5. P. Lenrarié and Y. Meyer, Ondelettes et bases Hilbertiennes, Rev. Mal. iberoamericana 2 (1986), 1-18.
6. W. R. Madych, Some elementary properties of multiresolution analysis of Z.2(R"), in “Wavelets-A Tutorial in Theory and Applications" (C. K. Chui, Ed.), pp. 259-294, Academic Press, New York, 1992.
7. S. Mallat, Multiresolution approximation and wavelet orthonormal bases of L2(IR), Trans Amer. Math. Soc. 315 (1989), 69-88.
8. Y. Meyer, “Ondelettes et Opérateurs," Hermann. Paris. 1990.
9. E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, Shiftable multiscale transforms. IEEE Trans. Inform. Theory 38 (1992), 587-607.
10. G. Strang, Wavelets and dilation equations: A brief introduction, SIAM Rev. 31 (1989), 614-627.
11. G. Walter. "Wavelets and Other Orthogonal Systems with Applications,” CRC Press, Boca Raton, FL. 1994.