期刊
2021 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP 2021)
卷 -, 期 -, 页码 5275-5279出版社
IEEE
DOI: 10.1109/ICASSP39728.2021.9414240
关键词
Graph signal sampling; generalized sampling; correction filter; ADMM
类别
资金
- JST PRESTO [JP-MJPR1935]
- JSPS KAKENHI [19K22864, 20H02145]
- Grants-in-Aid for Scientific Research [19K22864, 20H02145] Funding Source: KAKEN
This paper proposes a design method for sampling matrices of graph signals that ensures perfect recovery for arbitrary graph signal subspaces. Experimental results show that the proposed sampling matrix provides better reconstruction accuracy for various signal models.
We propose a design method of sampling matrices for graph signals that guarantees perfect recovery for arbitrary graph signal subspaces. When the signal subspace is known, perfect reconstruction is always possible from the samples with an appropriately designed sampling matrix. However, most graph signal sampling methods so far design sampling matrices based on the bandlimited assumption and sometimes violates the perfect reconstruction condition for the other signal models. In this paper, we formulate an optimization problem for the design of the sampling matrix that guarantees perfect recovery, thanks to a generalized sampling framework for standard signals. In experiments with various signal models, our sampling matrix presents better reconstruction accuracy both for noiseless and noisy situations.
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