arXiv Open Access 2021

Orthogonal Transforms for Signals on Directed Graphs

Julia Barrufet Antonio Ortega

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Abstrak

In this paper we consider the problem of defining transforms for signals on directed graphs, with a specific focus on defective graphs where the corresponding graph operator cannot be diagonalized. Our proposed method is based on the Schur decomposition and leads to a series of embedded invariant subspaces for which orthogonal basis are available. As compared to diffusion wavelets, our method is more flexible in the generation of subspaces, but these subspaces can only be approximately orthogonal.

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Penulis (2)

Julia Barrufet

Antonio Ortega

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APA MLA BibTeX

Barrufet, J., Ortega, A. (2021). Orthogonal Transforms for Signals on Directed Graphs. https://arxiv.org/abs/2110.08364

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓