On the design of multifilter banks and orthogonal multiwavelet bases

Abstract

Several forms of the parameter expressions for the orthogonal multifllter banks are presented. The explicit expressions for a group of the orthogonal multifllter banks that generate symmetric/antisymmetric scaling functions and orthogonal multiwavelets are obtained. The balanced multiwavelets that are multiwavelet pairs that are more suitable for image processing are discussed. Based on the parameter expressions for the orthogonal multifllter banks, the balanced multiwavelets that are multiwavelet pairs with better time-frequency localization properties are constructed, and the optimal multifllter banks are provided. ©1997 IEEE.