| Paper: | SPTM-P10.3 | ||
| Session: | Multirate Systems and Denoising | ||
| Time: | Thursday, May 20, 15:30 - 17:30 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Multi-rate Signal Processing & Wavelets | ||
| Title: | DESIGN OF APPROXIMATE HILBERT TRANSFORM PAIR OF WAVELETS WITH EXACT SYMMETRY | ||
| Authors: | David Tay; LaTrobe University | ||
| Marimuthu Palaniswami; University of Melbourne | |||
| Abstract: | This paper presents a new technique for designing pairs of filter bank whose corresponding wavelet function are approximate Hilbert transform of each other. The filters have exact linear phase which yields biorthogonal wavelets with exact symmetry. The technique is based on matching the frequency response of a given odd-length filter bank with a even-length filter bank. The class of EBFB (Even-length Bernstein Filter Bank) is utilized in the matching design. The EBFB has perfect reconstruction and vanishing moments properties structurally imposed and this simplifies the design process. The design is achieved through an non-iterative least squares method. | ||
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