M-channel filter banks for digraph signals
Tianjiao Zhang, Yulong Qiao · 2023
This paper presents a method for multichannel filter banks on directed graph signals. The multichannel filter banks on directed graph are constructed with oversampling structure, and the analysis and synthesis filters are designed in the form of directed graph filters. In this paper, the spectral folding properties of the directed Hermitian Laplacian basic matrix on the directed bipartite graph are derived and analyzed, and the method on the undirected graph is extended to the directed graph by combining the signal representation on the directed graph, and the rotation parameters and the values of the matrix weights are also discussed. The results of the multiresolution analysis on the signals on different directed graphs verify the perfect reconstruction properties of the designed directed graph filter banks with the help of Chebyshev polynomial approximation algorithm.