References
- C. Cabrelli, C. Heil, and U. Molter, Accuracy of lattice translates of several multidimensional refinable functions, J. Approx. Theory 95 (1998), no. 1, 5–52. https://doi.org/10.1006/jath.1997.3211
- Q. H. Chen, C. A. Micchelli, S. Peng, and Y. Xu, Multivariate filter banks having matrix factorizations, SIAM J. Matrix Anal. Appl. 25 (2003), no. 2, 517–531. https://doi.org/10.1137/S0895479802412735
- I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, 61. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992.
-
C. deBoor, R. A. Devore, and A. Ron, Approximation orders of FSI spaces in
$L_2(R^d)$ , Constr. Approx. 14 (1998), no. 4, 631–652. https://doi.org/10.1007/s003659900094 - C. Heil, G. Strang, and V. Strela, Approximation by translates of refinable functions, Numer. Math. 73 (1996), no. 1, 75–94. https://doi.org/10.1007/s002110050185
- R. Q. Jia, Approximation properties of multivariate wavelets, Math. Comp. 67 (1998), no. 222, 647–665. https://doi.org/10.1090/S0025-5718-98-00925-9
- Q. Lian, H. Xiao, and Q. Chen, Some properties on multivariate filter banks with a matrix factorization, Progr. Natur. Sci. (English Ed.) 15 (2005), no. 2, 115–125. https://doi.org/10.1080/10020070512331341860
- G. Plonka, Approximation order provided by refinable function vectors, Constr. Approx. 13 (1997), no. 2, 221–244. https://doi.org/10.1007/s003659900039
- H. Xiao, Lattice structure for paraunitary linear-phase filter banks with accuracy, Acta Math. Sin. (Engl. Ser.) 22 (2006), no. 3, 679–688. https://doi.org/10.1007/s10114-005-0618-1
- H. Xiao, Piecewise Linear Spectral Sequences and Wavelet Filter Banks, Doctoral Thesis, Graducate School of CAS, May 2005.