$M$ -Channel Oversampled Graph Filter Banks
Yuichi Tanaka, Akie Sakiyama · IEEE Transactions on Signal Processing · 2014
This paper proposes M-channel oversampled filter banks for graph signals. The filter set satisfies the perfect reconstruction condition. A method of designing oversampled graph filter banks is presented that allows us to design filters with arbitrary parameters, unlike the conventional critically sampled graph filter banks. The oversampled graph Laplacian matrix is also introduced with a discussion of the entire redundancy of the oversampled graph signal processing system. The practical performance of the proposed filter banks is validated through graph signal denoising experiments.