M-channel filter banks for digraph signals

Tianjiao Zhang; Yulong Qiao

doi:10.1117/12.3005014

20 October 2023 M-channel filter banks for digraph signals

Tianjiao Zhang, Yulong Qiao

Proceedings Volume 12916, Third International Conference on Signal Image Processing and Communication (ICSIPC 2023); 129160C (2023) https://doi.org/10.1117/12.3005014
Event: Third International Conference on Signal Image Processing and Communication (ICSIPC 2023), 2023, Kunming, China

Abstract

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.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Tianjiao Zhang and Yulong Qiao "M-channel filter banks for digraph signals", Proc. SPIE 12916, Third International Conference on Signal Image Processing and Communication (ICSIPC 2023), 129160C (20 October 2023); https://doi.org/10.1117/12.3005014

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KEYWORDS

Matrices

Tunable filters

Electronic filtering

Signal filtering

Eigenvectors

Signal processing

Fourier transforms

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