Iterated oversampled filter banks and wavelet frames

Ivan W. Selesnick; Levent Sendur

doi:10.1117/12.408663

4 December 2000 Iterated oversampled filter banks and wavelet frames

Ivan W. Selesnick, Levent Sendur

Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408663
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

This paper takes up the design of wavelet tight frames that are analogous to Daubechies orthonormal wavelets - that is, the design of minimal length wavelet filters satisfying certain polynomial properties, but now in the oversampled case. The oversampled dyadic DWT considered in this paper is based on a single scaling function and tow distinct wavelets. Having more wavelets than necessary gives a closer spacing between adjacent wavelets within the same scale. As a result, the transform is nearly shift-invariant, and can be used to improve denoising. Because the associated time- frequency lattice preserves the dyadic structure of the critically sampled DWT it can be used with tree-based denoising algorithms that exploit parent-child correlation.

Citation Download Citation

Ivan W. Selesnick and Levent Sendur "Iterated oversampled filter banks and wavelet frames", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408663

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