On the design of multifilter banks and orthonormal multiwavelet bases

Several forms of parametric expressions for orthogonal multifilter banks are presented. The explicit expressions for a group of orthogonal multifilter banks that generate symmetric/antisymmetric scaling functions and orthonormal multiwavelets are obtained. Based on these parametric expressions for orthogonal multifilter banks, orthonormal multiwavelet pairs with good time-frequency localization are constructed, and examples of optimal multifilter banks are provided.