Construction of r multiplicity compactly supported symmetric-anti-symmetric orthogonal multi-wavelet
Ligang Zhang · Journal of Harbin University of Commerce · 2009
An approach of constructing bivariate compactly supported symmetric-anti-symmetric orthogonal multi-wavelet function is presented by a given compactly supported orthogonal uni-wavelet function. Selecting an appropriate unitary matrix, bivariate compactly supported symmetric-anti symmetric orthogonal multi-wavelet can be expressed by producting of unitary matrix and translation of the given compactly supported orthogonal uni-wavelet function, and extent to r multiplicity. This multi-wavelet function possesses compactly supported and symmetry-anti-symmetry, but also has orthonormality.