Design of 6-Band Tight Frame Wavelets With Limited Redundancy

In this paper we explore the design of tight frame wavelets with a dilation factor M = 4. The resulting limit functions are significantly smoother than their orthogonal counterparts. An advantage of the proposed filters over the dyadic filterbanks is that the proposed filterbanks result in a reduced redundancy when compared with dyadic tight frames, while maintaining smoothness. The proposed filterbanks generate five wavelets and a scaling function with the underlying filters related as follows: H_5-i(z) = H_i(-z), i = 0...5