Design of 6-Band Tight Frame Wavelets With Limited Redundancy

A. Farras Abdelnour · 2006

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: H5-i(z) = Hi(-z), i = 0...5

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