Biorthogonal multivariate filter banks from centrally symmetric matrices

Linear Algebra and Its Applications

Volumn 402, Issue 1-3, 2005, Pages 111-125

  Chen, Qiuhui ^a   Micchelli, Charles A ^b   Xu, Yuesheng ^c,d  

^a HUBEI UNIVERSITY   (China)

^b STATE UNIVERSITY OF NEW YORK   (United States)

^c SYRACUSE UNIVERSITY   (United States)

^d INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Biorthogonal multivariate filter banks; Centrally symmetric matrices

Indexed keywords

BANDPASS FILTERS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; MIRRORS; SET THEORY; THEOREM PROVING;

BIRTHOGONAL MULTIVARIATE FILTER BANKS; CENTRALLY SYMMETRIC MATRICES; LINEAR PHASES; SYRACUSE UNIVERSITY;

MULTIVARIABLE SYSTEMS;

EID: 17744362468     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.12.028     Document Type: Article

References (13)

1. Q.H. Chen, C.A. Micchelli, S. Peng, and Y. Xu Multivariate filter banks having a matrix factorization SIAM J. Matrix Anal. Appl. 25 2003 517 531
2. W. Dahmen, and C.A. Micchelli Biorthogonal wavelet expansions Constr. Approx. 13 1997 293 328
3. O. Herrmann On the approximation problem in nonrecursive digital filter design IEEE Trans. Circuit Theory CT-18 1971 411 413
4. R.Q. Jia Approximation properties of multivariate wavelets Math. Comp. 67 1998 647 665
5. R.Q. Jia, and C.A. Micchelli Using the refinement equation for the construction of prewavelets V: extensibility of trigonometric polynomials Computing 48 1992 61 72
6. n IEEE Trans. Inf. Theory 38 1992 533 555
7. C.A. Micchelli Using the refinement equation for the construction of pre-wavelets Numer. Algorithms 1 1991 75 116
8. C.A. Micchelli, Using the refinement equation for the construction of pre-wavelets VI: Shift invariant subspaces, in: Approximation Theory, Spline Functions and Applications (Maratea, 1991), 213-222, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 356, Kluwer Acad. Publ., Dordrecht, 1992
9. C.A. Micchelli, and Y. Xu Reconstruction and decomposition algorithms for biorthogonal multiwavelets Multidimen. Syst. Signal Process. 8 1997 31 69
10. T.Q. Nguyen, and P.P. Vaidyanathan Two-channel perfect reconstruction FIR QMF structure which yield linear phase FIR analysis and synthesis filters IEEE Trans. Acoust. Speech Signal Proc. 37 1989 676 690
11. P.P. Vaidyanathan Multivariate Systems and Filter Banks 1993. Prentice Hall Englewood Cliffs, NJ
12. P.P. Vaidyanathan Quadrature mirror filter banks, M-band extensions and perfect reconstruction techniques IEEE ASSP Mag. 4 3 1987 4 20
13. M. Vetterli Filter banks allowing perfect reconstruction Signal Process. 10 3 1986 219 244