Multi-Channel Sampling on Graphs and Its Relationship to Graph Filter Banks

Autor: Junya Hara, Yuichi Tanaka
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: IEEE Open Journal of Signal Processing, Vol 4, Pp 148-156 (2023)
Druh dokumentu: article
ISSN: 2644-1322
DOI: 10.1109/OJSP.2023.3249112
Popis: In this article, we consider multi-channel sampling (MCS) for graph signals. We generally encounter full-band graph signals beyond the bandlimited ones in many applications, such as piecewise constant/smooth graph signals and union of bandlimited graph signals. Full-band graph signals can be represented by a mixture of multiple signals conforming to different generation models. This requires the analysis of graph signals via multiple sampling systems, i.e., MCS, while existing approaches only consider single-channel sampling. We develop a MCS framework based on generalized sampling. We also present a sampling set selection (SSS) method for the proposed MCS so that the graph signal is best recovered. Furthermore, we reveal that existing graph filter banks can be viewed as a special case of the proposed MCS. In signal recovery experiments, the proposed method exhibits the effectiveness of recovery for full-band graph signals.
Databáze: Directory of Open Access Journals