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| Paper: | SPTM-P10.11 |
| 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: |
NON-REDUNDANT, LINEAR-PHASE, SEMI-ORTHOGONAL, DIRECTIONAL COMPLEX WAVELETS |
| Authors: |
Felix Fernandes; Texas Instruments, Inc. | | |
| | Michael Wakin; Rice University | | |
| | Richard Baraniuk; Rice University | | |
| Abstract: |
The directionality and phase information provided by non-redundant complex wavelet transforms (NCWTs) provide significant potential benefits for image/video processing and compression applications. However, because existing NCWTs are created by downsampling filtered wavelet coefficients, the finest scale of these transforms has resolution 4 times lower than the real input signal. In this paper, we propose a linear-phase, semi-orthogonal, directional NCWT design using a novel triband filter bank. At the finest scale, the resulting transform has resolution 3 times lower than the real input signal. We provide a design example to demonstrate three important properties for image/video processing applications: directionality, magnitude coherency, and phase coherency. |
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