Orthogonal symmetric prefilter banks for discrete multiwavelet transforms

Traditional design of critically sampled prefilters for discrete multiwavelet transform in scalar signal processing ignores the preservation of the linear phase property, which is very desirable for many applications such as image coding and digital communications. Balanced multiwavelets solve this problem by making the filters longer. By using linear phase filter banks, we propose a simple design algorithm of orthogonal symmetric prefilter banks for discrete multiwavelet that are critically sampled and can preserve approximation power. This keeps the overall system as compact as possible. The resulted systems give better performance as compared with using non-linear phase prefilters.