4 September 2009 Dual frame symmetric wavelets with limited redundancy
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Abstract
In this paper we explore the design of 5-band dual frame (overcomplete) wavelets with a dilation factor M = 4. The resulting limit functions are significantly smoother than their orthogonal counterparts at the same dilation factor. An advantage of the proposed filters over the dyadic filterbanks (M = 2) is that the proposed filterbanks result in a reduced redundancy when compared with dyadic frames, while maintaining smoothness. The proposed filterbanks are symmetric and generate four wavelets and a scaling function for each the synthesis and analysis limit functions. All wavelets are equipped with at least one vanishing moment each.
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Farras Abdelnour, "Dual frame symmetric wavelets with limited redundancy", Proc. SPIE 7446, Wavelets XIII, 744610 (4 September 2009); doi: 10.1117/12.825653; https://doi.org/10.1117/12.825653
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