Some properties of symmetric-antisymmetric orthonormal multiwavelets

We analyze the discrete multiwavelet transform using symmetric-antisymmetric orthonormal multifilters (SAOMFs) and prove that for any even-length SAOMF, we can always find an odd-length SAOMF such that the implementation of discrete multiwavelet transform using either the even-length or the odd-length SAOMF produces identical output for a given input signal if the sum/difference prefilter is chosen