
Existence and design of biorthogonal matrixvalued wavelets
ZHAI BoLan; CUI LiHong
Journal of Beijing University of Chemical Technology ›› 2008, Vol. 35 ›› Issue (5) : 103-106.
Existence and design of biorthogonal matrixvalued wavelets
[1]Xia Xianggen, Suter B W. Vectorvalued wavelets and vector filter banks[J]. IEEE Transactions on Signal Processing, 1996, 44(3): 508-518.
[2]Slavakis K, Yamada I. Biorthogonal unconditional bases of compactly supported matrix valued wavelets[J]. Numerical Functional Analysis and optimization, 2001, 22(1): 223-253.
[3]Walden A T, Serroukh A. Wavelet analysis of matrix valued time series[J]. Proceedings: Mathematical, Physical and Engineering Sciences, 2002, 458(1): 157-179.
[4]Tan H H, Shen Lixin, Tham J Y. New biorthogonal multiwavelets for image compression[J]. Signal Processing, 1999, 79(1): 45-65.
[5]Cui Lihong, Cheng Zhengxing. A method of construction for biorthogona
l multiwavelets system with 2r multiplicity[J]. Applied Mathematics and Computation, 2005, 167(2): 901-918.
[6]Mallat S G. Multiresolution approximations and wavelet orthonormal ba
ses of L2(R)[D]. New York: Courant Institute of Mathematical Sciences New York University, 1989.
[7]Resnikoff H L, Tian Jun, Wells R O Jr. Biorthogonal wavelet space: parametrization and factorization[J]. SIAM Journal on Mathematical Analysis, 2002, 33(1): 194-215.
[8]Hardin D P, Marasovich J A. Biorthogonal multiwavelets on [-1,1][J]. Applied and Computational Analysis, 1999, 7(1): 34-53.
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