| 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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