no code implementations • 14 Sep 2022 • Junxia You, Lihua Yang
In this work, we propose a class of spline-like wavelet filterbanks for graph signals.
no code implementations • 4 Aug 2022 • Junxia You, Lihua Yang
In this paper, we propose the construction of critically sampled perfect reconstruction two-channel filterbanks on arbitrary undirected graphs. Inspired by the design of graphQMF proposed in the literature, we propose a general ``spectral folding property'' similar to that of bipartite graphs and provide sufficient conditions for constructing perfect reconstruction filterbanks based on a general graph Fourier basis, which is not the eigenvectors of the Laplacian matrix.