The Discussion of Balancing Property and Symmetry of r =4 Orthogonal Multiwavelets with Totally Interpolating
Yuhua Yang · Journal of Jiamusi University · 2010
In this paper,a parameterization formula of matrix filters when r = 4 was proposed using the conditions of orthogonal multiwavelets' totally interpolating. At first,by the symmetrical conditions of matrix filters it can prove no symmetrical and interpolating orthogonal multiscaling functions as the same as r =2 . Then, using above parameterization formula it fatherly presented additional conditions when multiwavelets satisfy one-order balancing property in an orthogonal multiwavelet system.