Spline-Like Wavelet Filterbanks with Perfect Reconstruction on Arbitrary Graphs
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929559517003776 |
|---|---|
| author | You, Junxia Yang, Lihua |
| author_facet | You, Junxia Yang, Lihua |
| contents | In this work, we propose a class of spline-like wavelet filterbanks for graph signals. These filterbanks possess the properties of critical sampling and perfect reconstruction. Besides, the analysis filters are localized in the graph domain because they are polynomials of the normalized adjacency matrix of the graph. We generalize the spline-like filters in the literature so that they have the ability to annihilate signals of some specified frequencies. Optimization problems are posed for the analysis filters to approximate desired responses. We conduct some experiments to demonstrate the good locality of the proposed filters and the good performance of the filterbank in the denoising task. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_06385 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spline-Like Wavelet Filterbanks with Perfect Reconstruction on Arbitrary Graphs You, Junxia Yang, Lihua Signal Processing In this work, we propose a class of spline-like wavelet filterbanks for graph signals. These filterbanks possess the properties of critical sampling and perfect reconstruction. Besides, the analysis filters are localized in the graph domain because they are polynomials of the normalized adjacency matrix of the graph. We generalize the spline-like filters in the literature so that they have the ability to annihilate signals of some specified frequencies. Optimization problems are posed for the analysis filters to approximate desired responses. We conduct some experiments to demonstrate the good locality of the proposed filters and the good performance of the filterbank in the denoising task. |
| title | Spline-Like Wavelet Filterbanks with Perfect Reconstruction on Arbitrary Graphs |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2209.06385 |