A Method for the Construction of Families of Biorthogonal Filters with Prescribed Properties

作者: Mariantonia Cotronei , Maria Laura Lo Cascio

DOI: 10.1023/A:1016040516242

关键词:

摘要: Some necessary and sufficient conditions are given in order to obtain biorthogonal wavelet filters with properties which usually required applications, such as symmetry regularity order, by appropriately choosing the parameters lifting scheme. A special class of extending B-spline is then proposed analyzed.

参考文章(11)
A. Micchelli, H. Prautzsch, Refinement and subdivision for spaces of integer translates of a compactly supported function Numerical analysis 1987. pp. 192- 222 ,(1989)
T. N. T. Goodman, S. L. Lee, Convergence of cascade algorithms mathematical methods for curves and surfaces. pp. 191- 212 ,(1998)
G. Strang, Eigenvalues of (/spl darr/2)H and convergence of the cascade algorithm IEEE Transactions on Signal Processing. ,vol. 44, pp. 233- 238 ,(1996) , 10.1109/78.485920
Albert Cohen, Robert D. Ryan, Wavelets and Multiscale Signal Processing ,(1995)
Gilbert Strang, Truong Nguyen, Wavelets and filter banks ,(1996)
Total positivity and its applications Journal of the American Statistical Association. ,vol. 92, pp. 1654- ,(1996) , 10.1007/978-94-015-8674-0
T. N. T. Goodman, Charles A. Micchelli, On Refinement Equations Determined by Pólya Frequency Sequences SIAM Journal on Mathematical Analysis. ,vol. 23, pp. 766- 784 ,(1992) , 10.1137/0523040
Wim Sweldens, The Lifting Scheme: A Custom-Design Construction of Biorthogonal Wavelets Applied and Computational Harmonic Analysis. ,vol. 3, pp. 186- 200 ,(1996) , 10.1006/ACHA.1996.0015
W. Dahmen, C. A. Micchelli, Biorthogonal Wavelet Expansions Constructive Approximation. ,vol. 13, pp. 293- 328 ,(1997) , 10.1007/S003659900045
MARIANTONIA COTRONEI, MARIA LAURA LO CASCIO, ON THE CONSTRUCTION AND BEHAVIOUR OF A GENERAL CLASS OF BIORTHOGONAL FILTERS Advanced Mathematical and Computational Tools in Metrology. pp. 85- 92 ,(2001) , 10.1142/9789812811684_0010