Fractal functions and wavelet expansions based on several scaling functions
Journal of Approximation Theory
A study of orthonormal multi-wavelets
Applied Numerical Mathematics - Special issue on selected keynote papers presented at 14th IMACS World Congress, Atlanta, NJ, July 1994
An algorithm for matrix extension and wavelet construction
Mathematics of Computation
Intertwining multiresolution analyses and the construction of piecewise-polynomial wavelets
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis
Approximation properties and construction of Hermite interpolants and biorthogonal mutliwavelets
Journal of Approximation Theory
Symmetric Paraunitary Matrix Extension and Parametrization of Symmetric Orthogonal Multifilter Banks
SIAM Journal on Matrix Analysis and Applications
Parameterization of Symmetric Multiwavelets
ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97)-Volume 3 - Volume 3
Short wavelets and matrix dilation equations
IEEE Transactions on Signal Processing
Balanced multiwavelet bases based on symmetric FIR filters
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
On the design of multifilter banks and orthonormal multiwaveletbases
IEEE Transactions on Signal Processing
Construction for a class of interpolation multiscaling functions with dilation factor a≥3
Computers & Mathematics with Applications
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In this paper we are interested in discuss the symmetry property and construction of an m-band compactly supported orthonormal multiwavelets related to the filters with different symmetric centers. With the development of the several equivalent conditions on this type of symmetry in terms of filter sequences and polyphase matrices, we derive several necessary constraints on the number of symmetric filters of the system, which is crucial for the construction of multiwavelets associated with given multiscaling functions with different symmetry centers. Then, we show how to construct multiwavelets with desired symmetric property by matrix extensions. Finally, to illustrate our proposed general scheme, we give two examples in this paper.